APPLIED MECHANICS

PROCEEDINGS OF

THE ELEVENTH INTERNATIONAL CONGRESS OF

APPLIED MECHANICS

MUNICH (GERMANY) 1964

EDITED BY

HENRY GÖRTLER FREIBURG I. BR.

IN COOPERATION WITH

PETER SORGER

WITH 740 FIGURES

Springer-Verlag Berlin Heidelberg GmbH

1966

ISBN 978-3-662-27863-5 ISBN 978-3-662-29364-5 (eBook) DOI 10.1007/978-3-662-29364-5

All rights reserved, especially that of translation into foreign langnages. It is also forbidden to reprodnce this book, cither whole or in part,

by photomechanical means (photostat, microfilm and/or microcard or any other means) withont written permission from the Pnblishers

® by Springer-Verlag Berlin Heidelberg 1966 Originally pnblished by Springer-Verlag Berlin Heidelberg New York in 1966

Softcover reprint of the bardeover 1st edition 1966

Library of Congress Catalog Card Nnmber 58-2749

Title No. 1282

IN MEMORIAM

RICHARD GRAMMEL EHRENPRÄSIDENT DES DEUTSCHEN ORGANISATIONS-KOMITEES

* 3. 3. 1889 t 26. 6. 1964

EXECUTIVE COMMITTEE OF THE INTERNATIONAL COMMITTEE

FOR THE CONGRESSES OF APPLIED MECHANICS

1960-1964

Professor G. ÜOLONNETTI, President

Professor W. T. KOITER, Secretary

Professor G. K. BATCHELOR, Treasurer

EXECUTIVE COMMITTEE OF THE CONGRESS COMMITTEE OF IUTAM

1964-1968

Professor M. RoY (President of IUTAM)

Professor W. T. KOITER, Secretary

Professor G. K. BATCHELOR

Professor H. GöRTLER

CONTENTS

List of Members of the International Committee for the Gongresses of Applied Mechanics . German Organizing Committee . List of Authors. . . List of Participants . . . . . .

Opening Addresses H. GöRTLER: Opening address by the President of the Eleventh Congress G. TEMPLE: Speech at the opening session of the Eleventh Congress

General Lectures ·

Chairman: W. T. KolTER L. I. SEDOV: Some problems of designing new models of continuum media

Chairman: G. K. BATCHELOR E. REISSNER: On the foundations of the theory of elastic shells R. LEGENDRE: Ecoulements instationnaires autour d'obstacles en vibration

Chairman: N. J. HoFF I. N. VEKUA: New methods in mathematical shell theory ... L. J. F. BROER: Some recent advances in the theory of wave propagation

Chairman: M. RoY G. F. CARRIER: Phenomena in rotating fluids ........ . K. MAGNUS: Drehbewegungen starrer Körper im zentralen Schwerefeld

Chairman: N. I. M USKHELISHVILI H. ZIEGLER: Thermodynamik der Deformationen .. T. B. BENJAMIN: Fluid flow with flexible boundaries ....... .

August 31

Section 1: Lectures on Mechanics of Solids

Mechanics of Continua

Chairman: K. MAGNUS A. C. ERINGEN: Mechanics of micromorphic materials ............ . C. TRUESDELL: Instabilities of isotropic perfectly elastic materials in simple shear

Chairman: L. M. MILNE-THOMSON

Page

XV XV

XVI . XXI

3 5

9

20 31

47 59

69 88

99 109

131 139

E. KRÖNER: Das physikalische Problem der antisymmetrischen Spannungen und der sogenannten Momentenspannungen . · . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

R. A. TOUPIN: On St. Venant's principle . . . . . . . . . . . . . . . . . . . . . . . . . . 151 H. NEUBER: On the general solution of linear-elastic problems in isotropic and anisotropic Gosserat

continua . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153

Nonlinear Vibrations

Chairman: G. TEMPLE R. CHALEAT: Les trois premieres approximations de la theoriedes perturbations et leurs applications. 159 YA. G. PANOVKO: A review of applications of the method of direct linearization. . . . . . . . . 167

Chairman: S. H. GRANDALL R. M. RosENBERG: On motions with a rest point and the existence of normal mode vibrations of non-

linear systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172

VIII Contents

Page

V. 0. KoNONENKO: Forced oscillations of the nonlinear quasiharmonical system . . . . . . . . . 173 R. M. DA VIES and T. H. LAMBERT: Transient oscillation of two degree of freedom systems with Cou-

lomb damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178

Strength of Materials

Chairman: M. REINER E. H. BROWN: A theory for the mechanical behaviour of sand . . . . . . . . . . . . . . . . . 183 CH. H. LERCHENTHAL: A photoelastic investigation of stress concentration around reinforced cutouts

in stressed sheets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192

Chairman: W. PRAGER N. ALBERT!: Analisi della distribuzione di tensioni sulla sezione contratta di provini cilindrici di tra-

zione ................................. . Y. OHASHI and S. MURAKAMI: The elasto-plastic bending of a clamped thin circular plate A. SAWCZUK: Large deflections of rigid-plastic plates . . . . . . . . . . . . . . . .

September 1 Vibrations

Chairman: K. KLOTTER

204 212 224

F. WEIDENHAMMER: Auswanderungserscheinungen in drehschwingungsfähigen mechanischen und elektrischen Meßwerken . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229

Chairman: R. M. RoSENBERG V. V. BoLOTIN: On the broadband random vibration of elastic systems 233 S. H. CRANDA.LL: The spectrum of random vibration of a nonlinear oscillator . 239

Chairman: J. P. DEN HARTOG L. FRYBA: Dynamik des Balkens mit federnder Schicht veränderlicher Steifigkeit unter der Wirkung

eines bewegten Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 245 0. DANEK und L. SPACEK: Frequenz- und Amplitudenabstimmung gerader Träger . . . . . . . . 252 S. A. AMBA.RTSUMIAN and S. M. DURGARIAN: Some problems of vibration and stability of shallow

shells and plates in a time alternating temperature field . . . . . . . . . . . . . . . . . 257

Theory of Shells Chairman: K. MARGUERRE

P. M. NAGHDI: On the differential equations of the linear t~eory of elastic shells

Chairman: A. L. GoLDENVEIZER W. FLÜGGE: Concentrated forces on shells ... S. LuKASIEWICZ: Concentrated loadings on shells ....... .

Chairman: E. REISSNER

262

270 277

J. G. LEKKERKERKER: Stress concentration around circular holes in cylindrical shells 283 G. N. SAVIN: Goncentration of stresses around curvilinear holes in plates and shells . 289 J. KEMPNER and Y.-N. CHEN: Large deflections of an axially compressed oval cylindrical shell 299

September 2 Chairman: H. NEUBER

A. L. GoLDENVEIZER: The principles of reducing three-dimensional problems of elasticity to two­dimensional problems of the theory of plates and shells . . . . . . . . . . . . . . . . . 306

Chairman: B. BuDIANSKY G. G. PoPE: The buckling of long, slightly curved panels in axial compression . . . . . . . . . . 312 M. UEMURA: Postbuckling behavior of a circular cylindrical shelllocally buckled under axial com-

pression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318

Chairman: H. PARKUS N. J. HoFF: The effect of the edge conditions on the buckling of thin-walled circular cylindrical shells

in axial compression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 326 M. H; GRADOWCZYK: Thermalstresses in thin elastic shells . . . . . . . . . . . . . . . . . 332 M. A. SAVE and R. T. SHIELD: Minimum-weight design of. sandwich shells subjected to fixed and

moving Ioads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341

Contents

Theory of Elasticity

Chairman: H. SCHAEFER

D. RüDIGER t: Zur Trefftzachen Methode in der Elastizitätstheorie

Chairman: L. SoBRERO

W. W ALLISCH und E. WEINEL: Ein Beitrag zur Elastomechanik prismatischer und nichtprismatischer

IX

Page

350

Stäbe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355 R. MAzET et G. CouPRY: Sur une conception Mterogime des milieux solides travaillant au dela du

domaine elastique 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 360

Chairman: I. N. VEKUA

V. T. BuCHWALD: Eigenfunctions of the full dislocation solution of the annulus in plane elastostatics S. V. SERENSEN and R. M. SHNEIDEROVITCH: The effect of time on stress distribution in the case of cyc­

lic deformation Tn. LEHMANN: Formänderungen eines klassischen Kontinuums in vierdimensionaler Darstellung

September 3 Elastic-plastic Deformations

Chairman: F. ScnuLTz-GRuNow

B. R. SETH: Generalized strain and transition concepts for elastic-plastic deformation-creep and relax-

368

372 376

ation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383

Viscoelasticity and Creep

Chairman: W. FLÜGGE

N. CRISTESCU: Some dynamic problems of onedimensional elasticjviscojplastic bodies E. H. LEE: Some recent developments in linear viscoelastic stress analysis . . . . .

Chairman: P. M. NAGHDI

J. BRILLA: Linear viscoelastic bending analysis of anisotropic plates . . . . . . . . . . W. S. NAMESTNIKOW: Kriechen der Metalle beim zusammengesetzten Spannungszustand. Yu. N. RABOTNOV: Creep of shells . . . . . . . . . . . . . . . . . . . . . .

Synthesis of Mechanisms

Chairman: E. ME'ITLER

F. FREUDENSTEIN and L. DoBRJANSKYJ: On a theory for the type synthesis of mechanisms

Dynami es

Chairman: H. WITTMEYER

390 396

403 410 415

420

V. A. SARYCHEV: Dynamics of a satellite gravitational stabilization system with consideration of atmospheric resistance. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 429

V. A. ZLATOUSTOV, D. E. 0KHOTSIMSKY, V. A. SARYCHEV and A. P. TüRZHEVSKY: Investigation of a satellite oscillations in the plane of an elliptic orbit . . . . . . . . . . . . . . . . . . . . 436

Chairman: H. ZIEGLER

J. CRAWLEY and L. MAUNDER: Drift of a vibrating gyroscope supported in gimbals . . . . . . . . 440 V. V. RuMYANTSEV: Non-linear methods in the theory of stability motion of solids with liquid-filled

cavities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 449 H. LEIPHOLZ: Grundzüge einer Stabilitätstheorie für elastische Systeme unter nichtkonservativer

Belastung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455

Theory or Plates

Chairman: U. WEGNER

M. YosmKI and T. KAWAI: On the method of application of energy principles to problems of elastic plates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 461

Propagation of Disturbances in Solids

Chairman: W. 0LSZAK

J. MIKLOWITZ: Scattering of a plane elastic compressional pulse by a cylindrical cavity S. S. GRIGORIAN: On elastic wave radiation at underground explosion ....... .

469 484

X Contents

Page Chairman: M. HETENYI

B. J. LAZAN: Damping meohanisms and phenomenology in materials . . . . . . . . . . . . . 493 J. MANDEL: Gontribution theorique a l'etude de l'eorouissage et des lois de l'eooulement plastique. 502 N. KH. ARUTIUNIAN and B. L. ABRAMIAN: On pressing a rigid punch into an elastic sphere. 510

September 4 Theory of Deformations

Chairman: K. ZoLLER

H. LE BOITEUX: Relation entre les fonotions de transfert et l'experienoe dans la mecanique des solides deformables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 518

Theory of Elasticity and Plasticity

Chairman: F. K. G. 0DQVIST

J. H. ARGYRIS: Three-dimensional anisotropic andinhomogeneaus elastic media matrix analysis for small and large displacements . . . . . . . . . . 527

R. S. RrvLIN: Mechanics of non-linear viscoelastic solids . . . . . . . . . . . . . . o o o . o 537

Chairman: Goi. BARENBLATT

W. PRAGER: On elastic, perfectly locking materials 0 0 0 0 0 0 0 0 0 0 o o o . o . o o o o o o o 538 W. 0LSZAK and Po PERZYNA: The constitutive equations of the flow theory for a non-stationary yield

condition 0 0 • 0 • 0 0 0 0 • 0 0 0 0 0 0 0 0 0 0 0 0 0 • 0 0 0 545 Po Go HoDGE, Jro: Yieldopoint load determination by nonlinear programming . 0 o o o o o . o . 554

Thermal Stress Chairman: Ao SLIBAR

Jo No GooDIER and Ao Lo FLORENCE: Looalized thermal stress at holes, cavities, and inclusions disturb-ing uniform heat flowo Thermal orack propagation 0 • 0 0 0 0 o 0 0 0 0 o 0 0 o 0 o o o 562

Thermal Stress, Theory of Plasticity Chairman: No KHo ARUTIUNIAN

Po So THEOCARIS: The evolution of the stress distribution in plane-stress contained plasticity problems 0 569 G.l. BARENBLATT: On the structure of fully developed plastic flow in polymerso . 0 0 0 0 0 0 0 0 575

Chairman: So Ao AMBARTSUMIAN Go DARRIEUS: Deformation thermique d'un arbre 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 • 582 B. A. BoLEY: Estimate of errors in approximate temperature and thermal stress calculations o o . 586 E. Ho MANSFIELD: The effect of a temperature gradient through the thickness of an unsupported

plate o o o 0 0 o 0 0 0 • 0 0 • 0 0 0 0 0 0 0 0 0 • 0 0 0 0 0 0 0 0 0 0 o o o . o . 597

Theory of Fracture

Chairman: Ho NEUBER H. FESSLERand Ro Wo WILSON: Strains near cracks in aluminium plates

Theory of Fracture, Theory of Plasticity Chairman: Bo Jo LAZAN

603

L. Go JAEGER and Jo Oo McCuTCHEON: The elastic analysis of interconnected curved bridge girders 612 Wo So HEMP: Studies in the theory of Michell structures 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o o o o 621

Chairman: Ao Co ERINGEN

P. A. KuziN and G. S. SHAPIRO: On dynamic behaviour of plastic structures 0 0 • 0 0 0 0 0 • 629 B. BUDIANSKY and Jo Wo HuTCffiNSON: Dynamic buckling of imperfection-sensitive structures 636 Co MYLONAS: The mechanics of brittle fracture 0 0 0 • 0 0 0 0 0 0 0 0 0 0 0 • 0 0 • 0 0 652

Section 2: Leetores on Mechanics of Fluids and Gases August 31

Jet Flow Chairman: Go I. TAYLOR

I. !MAI: On the visoous flow near the trailing edge of a flat plate 0

I. TANI and Yo KOMATSU: Impingement of a round jet on a flat surface 663 672

Contents

Chairman: G. F. CARRIER

S. UomDA and K. W ATANABE: On a similar solution of curved half jet . . . . . . . . J. T. DIEZ RooHE: The peripheral jet theory ...........•.......• A. CRA.YA. et R. MoREA.U: Jetslibres et confines en fluide de forte diffusivite magnetique

Laminar Boundary Layer

Chairman: R. LEGENDRE

A. FüRTIER: Sur l'influence de l'instabilite des surfaces de discontinuite de vitesse et de la compressibi-

XI Page

677 684 696

lite du fluide sur les ecoulements stationnaires en moyenne . . . . . . . . • . . . . . . 707 J. L. PEUBE: Sur les solutions semblables des tiquations de la couche limite Iaminaire bidimensionnelle 8.

masse volumique constante et propriettis physiques variables. Application a la plaqueplane sans gradient de pression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 713

Chairman: S. A. CHRISTIANOVITOH

L. G. LOITSIANSKI: Sur la mtithode parametrique dans la th6orie de la couche limite Iaminaire 722 S. K.APLUNt: Boundary layers and separation . . . . . . . . . . . . . . . . . . 729 C. BouRQUE: Dticollement de la couche limite Iaminaire devant une jupe ou un diedre 733

September 1 Kinetic Theory of Gases

Chairman: E. MARTENSEN

H. GRAD: Theory of the Boltzmann equation ........ .

Super- and Hypersonic Flow

Chairman: M. J. LIGHTHILL

741

K. I. BA.BENKO: Investigation of a three-dimensional supersonic gas flow around conic bodies 749 W. D. HA.YES: Inviscid hypersonic flows on blunt bodies . . . . . . . . . . . . . . . . 756

Chairman: H. W. LIEPMANN

G. G. CHERNYI: Flat wings in hypersonic flow . . . . . . . . . . . . . . . . . . . . 763 R. HETHERINGTON and M. E. SILVESTER: Transonic flow in plane and axisymmetric nozzles 768 V. V. RusA.Nov: A three-dimensional supersonic gas flow past smooth blunt bodies 774

Meteorology

Chairman: H. SoHLIOHTING

I. A. KIBEL: Short-range weather forecasting as a hydrodynamic problern

Hydrodynamic Stability

Chairman: I. TA.NI

779

G. I. TA.YLOR: Conical free surfaces and fluid interfaces . . . . . . . . • . . . . . . . • . 790 C. C. LIN and D. J. BENNEY: On the instability of shear flows and their transition to turbulence 797

Chairman: R. MIOHEL

P. S. KLEBA.NOFF: The effect of a two-dimensional roughnass element on boundary-layer transition 803 W. VELTE: Beiträge zur hydrodynamischen Stabilität . . . . . . . . . . . . . . . . . . . 806 F. X. WoRTMANN: Experimentelle Untersuchungen laminarer Grenzschichten bei instabiler Schich-

tung . . . . . . . . . . . . . . . . . . . . • . . . . . . . . . . . . . . • . . . 815

Hydrodynsmies

Chairman: G. WEINBLUM

C. WIGLEY: Analysis of the forces and moments on a yawing ship

Flow with Mixing

Chairman: T. B. BENJAMIN

P. CARRIERE et M. SIRIEIX: Resultats recents dans l'etude des problemes de melange et de recolle-

826

ment . • • • . • . • • . • • • • • . • • • • • • . • . • • • • . . . . . . . . • . 837

XII Contents

Page ST. I. GHEORGIDTZA: On the steady motion of incompressible fluids in porous inhomogeneous media with

cavities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 847

Chairman: H. RousE L. VAN WIJNGAARDEN: On the collective collapse of a large number of gas bubbles in water 864 V. N. NIKOLAEVSKII: On some relaxation processes connected with heterogeneity of continuous media . 862 L. V. OVSJANNIKOV: Partly invariant solutions of the equations admitting a group . . . . . . . . 868

September 2 Nearly Free-Molecular Flow

Chairman: W. SzABLEWSKI F. S. SHERMAN, D. R. WILLIS and G. J. MASLACH: Nearly free molecular flow: A comparison of theory

and experiment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871

Turbulent Boundary Layer Chairman: N. RoTT

A. FAVRE, J. GAVIGLIO et J. P. FoHR: Repartition spectrale de correlations spatio-temporelles de vi-tesse, en couche Iimite turbulente . . . . . . . . . . . . . . . . 878

J. A. B. WILLS: On pressure fluctuations under turbulent boundary layers . . . . . . . . . . . . 889

Chairman: L. G. LOITSIANSKI M. PicHAL: Die turbulente Grenzschicht an einer ebenen Platte in der hochturbulenten Strömung 896 F. ScHULTZ-GRUNOW und P. SAND: Grenzschicht-Entmischungsphänomen in nichtsedimentierenden

Suspensionen . . . . . . . . . . . . . . . . . . . . . . . . • . . . . . 902 M. E. ERDOGAN: Heat transfer in a viscous fluid between two walls with constrictions . . . . . . 908

Magnetohydrodynamics Chairman: S. I. P Al

J. FABRI et TH. MouLIN: Action d'un champ glissant sur un ecoulement conducteur de l'electricite 912

Chairman: J. A. SHEROLIFF S. WAY: Investigations in magnetohydrodynamics ...... . H. W. EMMONS: Experiments on high press~ plasmas . . . . .

Chairman:S.B.BERNDT L. S. G. KovASZNAY: Magnetohydrodynamic and plasma turbulence H. K. MoFFATT: Electrically driven steady flows in magnetohydrodynamics . A. KILDAL and S. TJeTTA: On acoustic streaming in magneto-hydrodynamics

Hydrodynamtes Chairman: E. BECKER

921 933

940 946 954

A. MICHALKE und R. WILLE: Strömungsvorgänge im laminar-turbulenten Übergangsbereich von Frei­strahlgrenzschichten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 962

Shock Waves Chairman: K. OswATITSOH

H. W. LIEPMANN, R. NARASIMHA and M. CHAmNE: Theoretical and experimental aspects of the shock structure problern . . . . . . . . . . . . . . . . . . . 973

CATHLEEN S. MORA WETZ: Collisionless shocks and solitary waves . . . . . . • . • • . . . . . . 980

Chairman: M. V AN DYKE S. A. CHRISTIANOVITOH et B. I. ZASLAVSKY: MethodesasymptotiquesdanslatMorie desondes de choc

faibles . . . . . . . . . . . . . . . . . . . 984 J. H. HAYWOOD: The behaviour of underwater explosions 993 J. P. GUIRAUD: Bruit balistique et focalisation . . . . . 1001

September 3 Hydrodynamic Stability of Rotating Fluids

Chairman: E. TRUCKENBRODT E. MARTENsEN and K. v. SENGBUsOH; Toroidal magnetohydrodynamic stability • . • . • • • . . 1010

Contents

Chairman: Lo Mo MlLNE-THOMSON Jo Wo MILES: Hydrodynamic instability in a rotating compressible fluid 0 0 0 0 0 0

Do FuLTz and To So MURTY: A three-dimensional vortex instability in rotating fluids

Chairman: Lo I. SEDOV

XIII

Page

1016 1022

No RoTT and Wo So LEWELLEN: Boundary layers in rotating flowso 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1030 Ro Co DrPRIMA and Jo To STUART: Nonlinear aspects of instability in flow between rotating cylinders 1037 Ho LUDWIEG: Experimentelle Nachprüfung der Stabilitätstheorien für reibungsfreie Strömungen mit

schraubenlinienförmigen Stromlinien 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 • 0 0 0 0 0 1045

Magnetohydrodynamic Oscillations Chairman: Fo TRICOMI

Eo CRAUSSE, Yo POIRIER et CHo VIVES: Oscillations forcees sinusoidales d'un liquide visqueux et electro-conducteur en presence d'un champ magnetique 0 0 0 0 o 0 o 0 0 o 0 0 0 o o o 0 1052

Supersonic Flow Chairman: Do KücHEMANN

Fo BARTLMÄ: Ebene Überschallströmung mit Relaxation 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

E.-Ao MüLLER und Ko MATSCHAT: Ähnlichkeitslösungen der transsonischen Gleichungen bei der An-ström-Machzahl 1 0 0 0 0 0 0 o o o o 0 o o 0 0 0 o 0 0 0 o o o 0 o o o o o o o o o

Chairman: Po CARRIERE

Fo Ko MooRE: On the assumption of specific-heat ratio near one in the theory of high-energy gas flows o o o o o o o o 0 o 0 0 0 o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

So B. BERNDT: Linear perturbation theory of the flow due to convection of entropy and vorticity in a non-uniform flow field . . . . 0 • 0 0 0 0 0 0 • 0 0 0

R. GouLARD and S. Co TRAUGOTT: Radiation fronts in gasdynamics

September 4 Flow with Evaporization

Chairman: W. D. HAYES

1056

1061

1069

1075 1083

D. Co JENKINS: The time required for high speed airstreams to atomise water drops 0 • 0 •• 0 •• 1094

Beat Transfer Noise Generation

Chairman: BoR. SETH

H. KATO, N. NrsmwAKI and M. HIRATA: Turbulent heat transfer in smooth pipes at high Prandtl numbers ..... 0 •••••••• 0 0 ••

L. N. HowARD: Convection at high Rayleigh number . 0 0 o ....... .

Chairman: Ho W. EMMONS R. MicHEL et N. Duc-LAM; Frottement et transfert de chaleur turbulents en ecoulements bi- et tri-

1101 1109

dimensionnels . . . . . o . . . . . . . . . . . . . 0 • • • • o . 0 • o . . . . o . 1116 F. CocHo GrL et A. JAUMOTTE: Determination du coefficient de debit d'une tuyere elliptique-cylindri-

que par analyse de la couche limite 0 • • • • o . o 0 • 0 • • • • • • 0 0 • • • • • • • 1124 Z. MoRAVEC: Der Einfluß der aerodynamischen Parameter auf den Sirenenlärm einer axialen Schaufel-

stufe . 0 ••••• o ... o . o o . o . o . o o o o o ........ o o ... o 1133

Dispersion in Heterogeneous Media

Chairman: J. R. Ao PEARSON E. MoLLO-CHRISTENSEN: Wave propagation, dispersion and energy transport in arterial blood flow o . 1138

Cavitation, Flow with Friction

Chairman: Go KuERTI

M. P. TULIN: The shape of cavities in supercavitating flows ............ . J. A. GEURST: Two-dimensional theory of the unsteady motion of fully cavitating hydrofoils

Chairman: Ao F AVRE

1145 1156

M. V AN DYKE: The circle at low Reynolds number as a test of the method of series truncation . . . o . 1165

XIV Contents

Page Do DuMITREscu, Mo Do CAzAcu et Co I. CRACIUN: Solutions numeriqueset recherohes experimentales

dans l'hydrodynamique des fluides visqueux, a de nombres de Reynolds petits 1170 Mo Ao SINBEL: Skin friction for three-dimensional flow in conical pipes 0 0 0 0 0 0 0 0 0 0 0 0 0 1177

Closing Addresses

Wo To KolTER: Speech at the closing session of the Eleventh Congress Ho GöRTLER: Closing address by the President of the Eleventh Congress 0

1187 1190

LIST OF MEMBERS OF THE INTERNATIONAL OOMMITTEE

FüR THE GONGRESSES OF APPLIED MEOHANIOS

J. AcKERET, Zürich (Switzerland) G. K. BATCHELOR, Oambridge (U.K.) 0. B. BIEZENO *, Delft (Netherlands) J. M. BuRGERS, College Park, Md. (U.S.A.) A. ÜAQUOT, Paris (France) G. CoLONNETTI, Torino (Italy) G. A. 0Rocco, Roma (Italy) H. L. DRYDEN, Washington, D. 0. (U.S.A.) F. H. VAN DEN DuNGEN, Bruxelles (Belgium) H. FAVRE, Zürich (Switzerland) S. GoLDSTErN, Oambridge, Mass. (U.S.A.) H. GöRTLER, Freiburg i. Br. (Germany) J. P. DEN HARTOG, Oambridge, Mass. (U.S.A.) W. T. KorTER, Delft (Netherlands) N. I. MusKHELISHVILI, Tbilisi (U.S.S.R.)

F. NAKANISHI, Tokyo (Japan) F. K. G. ÜDQVIST, Stockholm (Sweden) K. PoPOFF, Sofia (Bulgaria) M. RoY, Paris (France) W. RuBINOWICZ, Warszawa (Poland) L. I. SEDOV, Moscow (U.S.S.R.) H. SoLBERG, Blindern (Norway) R. SouTHWELL *, Trumpinton-near-Cam-

bridge (U.K.) G. I. TAYLOR, Oambridge (U.K.) G. TEMPLE, Oxford (U.K.) S. P. TIMOSHENKO, Stanford, Oal. (U.S.A.) W. ToLLMIEN, Göttingen (Germany) W. WEIBULL, Lausanne (Switzerland)

GERMAN ORGANIZING OOMMITTEE

R. GRAMMELt, Honorary President, Tech­nische Hochschule Stuttgart

H. GöRTLER, President, Universität Freiburg i. Br.

J. HEINHOLD, Technische Hochschule Mün­chen

H. HEINRICH, Technische Universität Dresden E. METTLER, Technische Hochschule Karls-

ruhe H. NEUBER, Technische Hochschule München R. SAUER, Technische Hochschule München W. TOLLMIEN, Universität Göttingen E. TRUCKENBRODT, Technische Hochschule

München

Program Secretariat

K. ZoLLER, Technische Hochschule Stutt­gart

* Retired August 1964.

Organization Secretariat

H. NEUBER, Technische Hochschule München E. TRUCKENBRODT, Technische Hochschule

München

Finances: F. KrESSLING, Technische Hoch­schule München

Local Arrangement of Sessions: E. IGENBERGS, Technische Hochschule München

Congress Bureau: E. IGENBERGS, Technische Hochschule München; F. KrESSLING, Technische Hochschule München

Social Events: J. HEINHOLD, Technische Hoch­schule München; R. SAUER, Technische Hochschule München; E. TRUCKENBRODT, Technische Hochschule München

Ladies Committee: Mrs. R. HEINHOLD; Mrs. E. NEUBER;Mrs.B.TRUCKENBRODT

PublicRelations: J. HEINHOLD, Technische Hochschule München

LIST OF AUTHORS

ABRAllliAN, B. L., Institute of Mathematics and Mechanics, Armenian Academy of Sciences, Barekamutian 24b, Erevan (USSR).

Ar.BERTI, N., Istituto di Tecnologie Meccaniche dell' Universita di Palermo, Viale delle Scienze, Palermo (ltaly).

AMBARTSUllliAN, S. A., Institute of Mathematics and Mechanics, Armenian Academy of Sciences, Barekamutian 24b, Erevan (USSR).

ARGYRIS, J. H., Institut für Statik und Dynamik der Luft- und Raumfahrtkonstruktionen, Tech­nische Hochschule Stuttgart, 7 Stuttgart-Vaihin­gen, Robert-Leicht-Str. 225 (Germany).

ARUTIUNIAN, N. KB:., Institute of Mathematics and Mechanics, Armenian Academy of Sciences, Barekamutian 24b, Erevan (USSR).

BABENKO, K. I., 9 Fersman Street, Flat 10, Moscow B-312 (USSR).

BARENBLA.TT, G. I., Institute of Mechanics, Moscow State University, 1 Mitchurin Avenue, Moscow B-234 (USSR).

BARTLMÄ, F., Deutsche Versuchsanstalt für Luft­und Raumfahrt e. V., Institut für Theoretische Gasdynamik, 51 Aachen, Theaterstr. 13 (Ger­many).

BENJAllliN, T. B., Department of Applied Mathe­matics. and ~heoretical Physics, University of Cambndge, Sllver Street, Cambridge (U. K.).

BENNEY, D. J., Department of Mathematics, Mas­sachusetts Institute of Technology, Cambridge, Mass. 02139 (U. S. A.).

BERNDT, S. B., Kungliga Tekniska Högskolan, Stockholm 70 (Sweden).

LE BOITEUX, H., Ecole Supeneure de Physique et de Chimie de la Ville de Paris, 254 rue de Vaugirard Paris 15e (France). ' '

BOLEY, .B. A:, Department of Civil Engineering and Engmeermg Mechanics, Columbia University New York, N. Y. 10027 (U. S. A.). '

BOLOTIN, V. V., Institute of Mechanics, USSR Aca-demy of Sciences, 7 Leningrad Avenue, Moscow A-40 (USSR).

BoURQUE, C., Departement de Glmie Mecanique Universite Laval, Quebec (Canada). '

. BRILLA, J., Slovak Academy of Sciences, Obrancov mieru 41, Bratislava (Czechoslovakia).

BROER, L. J. F., Technische Hogeschool Eindhoven Insulindelaan 2, Eindhoven (Netherlands). '

BROWN, ~· H., Department of Civil Engineering, Impenal College of Science and Technology South Kensington, London S. W. 7 (U. K.). '

BuOHWALD, V. T., Department of Applied Mathe-

matics, University of Sydney, Sydney, N. S. W. (Australia).

BUDIANSKY, B., Division of Engineering and Ap­plied Physics, Harvard University, Cambridge, Mass. 02138 (U. S. A.).

CARRIER, G. F., Division of Engineering and Ap­plied Physics, Harvard University, Ca,mbridge, Mass. 02138 (U. S. A.).

CA.RRIERE, P., Office National d'Etudes et de Recherehes Aerospatiales (0. N. E. R. A.), Chi­tillon-sous-Bagneux, Seine (France).

CAZAOU, M. D., Institutul de Mecanica Fluidelor "Traian Vuia", Academia Republicii Socialiste Romänia, str. C. Mille 15, Bucurelilti 45(Rumania).

CHA.HINE, M., Califomia Institute of Technology, Pasadena, Cal. 91109 (U. S. A.).

CluLEAT, R., Faculte des Sciences, 218, rue de Dole, Besanc;on, Doubs (France).

CHEN, Y.-N., Department of Aerospace Engineering and Applied Mechanics, Polytechnic Institute of Brooklyn, Brooklyn, N. Y. 11201 (U. S. A.).

CHERNYI, G. G., Institute of Mechanics, Moscow State University, 1 Mitchurin Avenue, Moscow B-234 (USSR).

CHRISTIANOVITOH, S. A., Siberian Academy of Sciences, Novosibirsk (USSR).

CooHo GIL, F., Dr. Vertiz, 505, Mexico 12, D. F. (Mexico).

CoUPRY, G., Office National d'Etudes et de Recher­ehes Aerospatiales (0. N. E. R. A.), Chitillon­sous-Bagneux, Seine (France).

CRÄOIUN, C. I., Institutul de Mecanica Fluidelor "Traian Vuia", Academia Republicii Socialiste RomAnia, str. C. Mille 15, Bucur61ilti 46 (Ruma­nia).

CRANDA.LL, S. H., Massachusetts Institute of Tech­nology, Cambridge, Mass. 02139 (U. S. A.).

CRAUSSE, E., College Scientifique Universitaire, 33, rue Louis Pasteur, Avignon (France).

CRAWLEY, J., Vickers Armstrangs North East Works, Newcastle-upon-Tyne 4 (U. K.).

CRAYA, A., Laboratoires de Mecanique des Fluides, Faculte des Seiences de Grenoble, 46, Avenue Felix-Viallet, Grenoble, Isere (France) .

CRISTEsou, N., Institutul deMatematica, str. Mihail Eminesou 47, Bucure~ti 3 (Rumania).

DANEK, 0., SVUTT, Husova 8, Praha 1 (Czechoslo­vakia).

DARRIEUS, G., CEM - Cie Electro-Mecanique, 37, rue du Rocher, Paris Se (France).

List of Authors XVII

DAVIES, R. !r{., Department of Mechanical Engineer­ing, University College London, Gower Street, London W. C. 1 (U. K.).

DIEZ RocHE, J. T., Escuela Tecnica Superior de Inge­nieros Aeronauticos, Universidad de Madrid, Madrid (Spain).

DIPRIMA, R. C., Department of Mathematics, Rensselaer Polytechnic Institute, Troy, N. Y. 12181 (U. S. A.).

DoBBJANSKYJ, L., Bell Telephone Laboratories, 463 West Street, New York, N. Y. (U. S. A.).

Duc-LAM, N., Office National d'Etudes et de Recherehes Aerospatiales (0. N. E. R. A.), Chä­tillon-sous-Bagneux, Seine (France).

DUMITRESCU, D., Academia Republicii Socialiste Romänia, Calea Victoriei 125, Bucure~ti (Ru­mania).

DURGARIAN, S. M., Institute of Mathematics and Mechanics, Armenian Academy of Sciences, Barekamutian 24b, Erevan (USSR).

V AN DYKE, M., Department of Aeronautics and Astronautics, Stanford University, Stanford, Cal. 94305 (U. S. A.).

EMMONS, H. W., Division of Engineering and Ap­plied Physics, Harvard University, Cambridge, Mass. 02138 (U. S. A.).

ERDOGAN, M. E., Institute of Mechanics and Fluid Mechanics, Technical University of Istanbul, Istanbul (Turkey).

ERINGEN, A. C., School of Aeronautics, Astronau­tics and Engineering Sciences, Purdue Univer­sity, Lafayette, Ind. 47907 (U. S. A.).

FABru, J., Office National d'Etudes et de Recherehes Aerospatiales (0. N. E. R. A.), Chätillon-sous­Bagneux, Seine (France).

FAVRE, A., Institut de Mecanique Statistique de la Turbulence, Universite d'Aix-Marseille, Mar­seille 3e (France).

FEssLER, H., Dcpartment of Mechanical Engineering, Universityof Nottingham, Nottingham (U. K.).

FLORENCE, A. L., Stanford Research Institute, Menlo Park, Cal. (U. S. A.).

FLÜGGE, W., Division of Engineering Mechanics, Stanford University, Stanford, Cal. 94305 (U. S.A.).

FoHR, J. P., Institut de Mecanique Statistique de la Turbulence, Universite d'Aix-Marseille, Mar­seille 3e (France).

FoRTlEB, A., Laboratoire de Meca.nique Experimen­tale des Fluides, Faculte des Seiences de Paris, Orsay, Seine-et-Oise (France).

FREUDENSTEIN, F., Department of Mechanical En­gineering, Columbia University, New York, N. Y. 10027 (U. S. A.).

FRYBA, L., Institut für Verkehrsforschung, Hy­bemska 5, Praha 1 (Czechoslovakia).

FULTZ, D., Hydrodynamics Laboratory, Department of the Geophysical Sciences, University of Chicago, Chicago, Ill. 60637 (U. S. A.).

GAVIGLIO,J., Institut deMecaniquede laTurbulence, Universite d'Aix-Marseille, Marseille 3e (France).

GEURST, J. A., Natuurkundig Laboratorium, N. V. '

Philips' Gloeilampenfabrieken, Waalre, N-Br (Netherlands).

GHEORGffiTZA, ST. I., Institutul de Matematica, str. Mihail Eminesou 47, Bucure~ti 3 (Rumania).

GOLDENVEIZER, A. L., Institute of Mechanics, USSR Academy of Sciences, 7 Leningrad Ave­nue, Moscow A-40 (USSR).

GoomER, J. N., Division of Engineering Mechanics, Stanford University, Stanford, Cal. 94305 (U.S.A.).

GoULARD, R., School of Aeronautics, Astronautics and Engineering Sciences, Purdue University, Lafayette, Ind. 47907 (U. S. A.).

GRAD, H., Courant Institute of Mathematical Seien­ces, New York University, 251 Mercer Street, New York, N. Y. 10012 (U. S. A.).

GRADOWCZYK, M. H., Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Bue­nos Aires (Argentinia).

GRIGORIAN, S. S., Institute of Mechanics, Moscow State University, 1 Mitchurin Avenue, Moscow B-234 (USSR).

GUIRAUD, J. P., Office National d'Etudes et de Recherehes Aerospatiales (0. N. E. R. A.), Chä­tillon-sous-Bagneux, Seine (France).

HAYES, W. D., Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, N. J. (U. S. A.).

HAYWOOD, J. H., Naval Construction Research Establishment, St. Leonard's Hill, Dunfermline, Fife (U. K.).

HEMP, W. S., Engineering Laboratory, Department of Engineering Science, University of Oxford, Parks Road, Oxford (U. K.).

HETHERINGTON, R., Aero Engine Division, Rolls­Royce Ltd., P. 0. Box 31, Derby (U. K.).

HlRATA, M., Dcpartment of Mechanical Engineer­ing, Faculty of Engineering, University ofTokyo, Bunkyo-ku, Tokyo (Japan).

HoDGE, Jr., P. G., Department of Mechanics, llli­nois Institute of Technology, Chicago, Ill. 60616 (U. S. A.).

HOFF, N. J., Department of Aeronautics and Astro­nautics, Stanford University, Stanford, Cal. 94305 (U. S. A.).

HowARD, L. N., Department of Mathematics, Massachusetts Institute of Technology, Cam­bridge, Mass. 02139 (U. S. A.).

HuTcmNSON, J. W., Division of Engineering and Applied Physics, Harvard University, Cam­bridge, Mass. 02138 (U. S. A.).

IMAI, I., Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo (Japan).

JAEGER, L. G., Department of Mechanical Engineer­ing, University of Edinburgh, Edinburgh 9 (U.K.).

JAuMOTTE, A., Institut de Mecanique Appliquee, Universite Libre de Bruxelles, Bruxelles 5 (Belgium).

JENKINS, D. C., Mechanical Engineering Depart­ment, Royal Aircraft Establishment, Fambo­rough, Hants. (U. K.).

XVIII List of Authors

KAPLUN t, S., California Institute of Technology, Pasadena, Cal. 91109 (U. S. A.).

KATO, H., Department of Mechanical Engineering, Faculty of Engineering, University of Tokyo, Bunkyo-ku, Tokyo (Japan).

KAW AI, T., InstituteoflndustrialScience, University of Tokyo, Azabu-shinryudocho, Tokyo (Japan).

KEMPNER, J., Department of Aerospace Engineer­ing and Applied Mechanics, Polytechnic Insti­tute of Brooklyn, Brooklyn, N. Y. 11201 (U. S. A.).

KIBEL, I. A., USSR Hydrometeorological Research Center, Bolshevitskaya ul. ll/13, Moscow D-376 (USSR).

KILDA.L, A., Matematisk Institutt, Universitetet i Bergen, Allegt. 34, Bergen (Norway).

KLEBA.NOFF, P. S., Aerodynamics Section, Fluid Mechanics Branch, National Bureau of Stan­dards, Washington, D. C. 20234 (U. S. A.).

KoMATsu, Y., Institute of Space and Aeronautical Science, University of Tokyo, Komaba, Meguro­ku, Tokyo (Japan).

KoNONENKO, V. 0., Institute of Mechanics, Aca­demy of Seiences ofthe Ukr. SSR, ul. Chkalova 55b, Kiev (USSR).

KovASZNAY, L. S. G., Department of Mechanics, Johns Hopkins University, Baltimore, Md. 21218 (U. S. A.).

KRöNER, E., Institut für Theoretische Physik, Berg­akademie Clausthal, 3392 Clausthal-Zellerfeld (Germany).

KuzrN, P. A., Institute of Mechanics, USSR Aca­demy of Sciences, 7 Leningrad Avenue, Moscow A-40 (USSR).

LAMBERT, T. H., Department of Mechanical Engi­neering, University College London, Gower Street, London W. C. 1 (U. K.).

LAZAN, B. J., Department of Aeronautics and Engi­neering Mechanics, University of Minnesota, Minneapolis, Minn. 55455 (U. S. A.).

LEE, E. H., Division of Engineering Mechanics, Stan­ford University, Stanford, Cal. 94305 (U. S. A. ).

LEGENDRE, R., Office National d'Etudes et de Recherehes Aerospatiales (0. N. E. R. A.), Cha­tillon-sous-Bagneux, Seine (France).

LEHMANN, TH., Institut für Baumechanik, Techni­sche Hochschule Hannover, 3 Hannover, Welfen­garten 1 (Germany).

LEIPHOLZ, H., Institut für Technische Mechanik und Festigkeitslehre, Technische Hochschule Karls­ruhe, 75 Karlsruhe, Kaiserstr. 12 (Germany).

LEKKERKERKER, J. G., Technische Hogeschool Delft, Delft (Netherlands).

LERCHENTHAL, CH. H., Division of Mechanics, Technion-Israel Institute of Technology, Haifa (Israel).

LEWELLEN, W. S., Fluid Dynamics Section, Aero­space Corporation, El Segundo, Cal. (U. S. A.).

LIEPMANN, H. W., California Institute of Techno­logy, Pasadena, Cal. 91109 (U. S. A.).

LrN, C. 0., Department of Mathematics, Massa­chusetts Institute of Technology, Cambridge, Mass. 02139 (U. S. A.).

LOITSIA.NSKI, L. G., Leningrad Polytechnical Insti­tute, Leningrad (USSR).

LUDWIEG, H., Aerodynamische Versuchsanstalt Göttingen e. V., 34 Göttingen, Bunsenstr. 10 (Germany).

LUKASIEWICZ, S., Politechnika Warszawska, Nowo­wiejska 24, Warszawa (Poland).

MA.GNUS, K., Technische Hochschule Stuttgart, 7 Stuttgart 1, Keplerstr. 17 (Germany).

MANDEL, J., Ecole Polytechnique, 17, rue Descartes, Paris 5e (France).

MANSFIELD, E. H., Structures Department, Royal Aircraft Establishment, Farnborough, Hants. (U. K.).

MARTENSEN, E., Technische Hochschule Darmstadt, 61 Darmstadt, Hochschulstr. 1 (Germany).

MASLACH, G. J., Division of Aeronautical Sciences, University of Califor)lia, Berkeley, Cal. 94 720 (U. S. A.).

MATSCHA.T, K., Max-Planck-Institut für Strömungs­forschung, 34 Göttingen, Böttingerstr. 6 (Ger­many).

MAUNDER, L., Department of Mechanical and Marine Engineering, University of Newcastle­upon-Tyne, Newcastle-upon-Tyne 2 (U. K.).

MAZET, R., Office National d'Etudes et de Recher­ehes Aerospatiales (0. N. E. R. A.), Chätillon­sous-Bagneux, Seine (France).

McCuTcHEON,J. 0., Department of Civil Engineer­ing and Applied Mechanics, McGill University, Montreal 2 (Canada).

MICHALKE, A., Deutsche Versuchsanstalt für Luft­und Raumfahrt e. V., Institut für Turbulenz­forschung, 1 Berlin 12, Gartenufer 8 (Germany).

MICHEL, R., Office National d'Etudes et de Recher­ehes Aerospatiales (0. N. E. R. A.), Chatillon­sous-Bagneux, Seine (France).

MrKLOWITZ, J., Division of Engineering and Ap­plied Science, California Institute of Technology, Pasadena, Cal. 91109 (U. S. A.).

MILES, J. W., Institute of Geophysics and Planet­ary Physics, University of California San Diego, P. 0. Box 109, La Jolla, Cal. 92038 (U. S. A.).

MoFFATT, H. K., Department of Applied Mathe­matics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge (U. K.).

MoLLo-CHRISTENSEN, E., Department of Aero­nautics and Astronautics, Massachusetts Insti­tute of Technology, Cambridge, Mass. 02139 (U. S. A.).

MooRE, F. K., Department ofThermal Engineering, Cornell University, Ithaca, N. Y.14850 (U. S. A.).

MORAVEC, Z., SVÖTT, Kladenska 60, Praha 6-Vokovice (Czechoslovakia).

MoRAWETZ, CA.THLEEN S., Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, N. Y. 10012 (U. S. A.).

MoREAU, R., Laboratoires de Mecanique des Flu­ides, Faculte desSciencesde Grenoble, 46, Avenue Felix-Viallet, Grenoble, Isere (France).

MoULIN, TH., Office National d'Etudes et de Recher­ehes Aerospatiales (0. N. E. R. A.), Chatillon­sous-Bagneux, Seine (France).

MüLLER, E.-A., Max-Planck-Institut für Strö-

List of Authors XIX

mungsforschung, 34 Göttingen, Böttingerstr. 6 (Germany).

MURAXAMI, S., Department of Applied Physics, Faculty of Engineering, Nagoya University, Chikusa-ku, Nagoya (Japan).

MURTY, T. S., Hydrodynamics Laboratory, Depart­ment of the Geophysical Sciences, University of Chicago, Chicago, Ill. 60637 (U. S. A.).

MYLONAS, C., Division of Engineering, Brown Uni­versity, Providence, R. I. 02912 (U. S. A.).

NAGHDI, P. M., Division of Applied Mechanics, University of California, Berkeley, Cal. 94720 (U. S.A.).

NAMESTNIKOW, W. S., Institut für Maschinenbau des Fernstudiums der Sowjetunion, 5. Babajew­skaja-Str. 3, Moskau B-14 (USSR).

NARASIMHA., R., Indian Institute of Science, Ban­galore (lndia).

NEUBER, H., Institut für Technische Mechanik, Technische Hochschule München, 8 München 2, Arcisstr. 21 (Germany).

NIKOLAEVSKU, V. N., Institute of Physics of the Earth, USSR Academy of Sciences, Bol. Gruzin­skaya 10, Moscow G-242 (USSR).

NismWAXI, N., Department of Mechanical Engineer­ing, Faculty of Engineering, University of Tokyo, Bunkyo-ku, Tokyo (Japan).

ÜHASm, Y., Department of Applied Physics, Fa­culty of Engineering, Nagoya University, Chi­kusa-ku, Nagoya (Japan).

ÜKHOTSIMSKY, D. E., Institute of Mathematics, USSR Academy of Sciences, 28 Vavilov Street, Moscow V-333 (USSR).

ÜLSZAK', W., Institute of Basic Technical Research, Polish Academy of Sciences, Swi~tokrzyska 21, Warszawa 1 (Poland).

ÜVSJANNIKOV, L. V., Institute of Hydrodynamics, Siberian Academy of Sciences, Novosibirsk 90 (USSR).

PANOVKO, YA. G., Leningrad Ship-Building Insti­tute, Leningrad F-8 (USf!R).

PERZYNA, P., Institute of Basic TechnicalResearch, Polish Academy of Sciences, Swi~tokrzyska 21, Warszawa 1 (Poland).

PEUBE, J. L., Departement de Mecanique, Faculte des Seiences de Paris, Orsay, Seine-et-Oise (France).

PicHA.L, M., Institut für Thermomechanik, Tschecho­slowakische Akademie der Wissenschaften, Pus­kinovo nam. 9, Praha 6-Bubenec (Czechoslova­kia).

PoiRIER, Y., College Scientifique Universitaire, 33, rue Louis Pasteur, Avignon (France).

PoPE, G. G., Structures Department, Royal Air­craft Establishment, Farnborough, Hants. (U.K.)

PRAGER, W., University of California, P. 0. Box 109, La Jolla, Cal. 92038 (U. S. A.).

RABOTNOV, Yu. N., Institute of Mathematics and Mechanics, Moscow State University, Moscow B-234 (USSR).

REISSNER, E., Department of Mathematics, Massa­chusetts Institute of Technology, Cambridge, Mass. 02139 (U. S. A.).

RIVLIN, R. S., Division of Applied Mathematics, Brown University, Providence, R. I. 02912 (U.S.A.).

RosENBERG, R. M., Division of Applied Mechanics, University of California, Berkeley, Cal. 94720 (U. S. A.).

RoTT, N., Department of Engineering, University of California, Los Angeles, Cal. 90024 (U. S. A.).

RüDIGER t, D., Ip.stitut für Mechanik der Bergaka­demie Freiberg, Freiberg/Sachsen, Bernhard-von­Cotta-Str. 1 (Germany).

RuMYANTSEV, V. V., Computing Centre of the USSR Academy of Sciences, 28 Vavilov Street, Moscow V-333 (USSR).

RusA.Nov, V. V., Flat 10, 9 Fersman Street, Mos­cow B-312 (USSR).

SAND, P., Institut für Mechanik, Technische Hoch­schule Aachen, 51 Aachen (Germany).

SARYCHEV, V. A., Institute of Mathematics, USSR Academy of Sciences, 28 Vavilov Street, Moscow V-333 (USSR).

SAVE, M. A., Departement de Mecanique, Faculte Polytechnique de Mons, rue de Houdain, Mons (Belgium). .

SAVIN, G. N., Institute of Mechanics,_ Academy of Seiences of the Ukr. SSR, ul. Chkalova 55b, Kiev (USSR).

SAWCZUK, A., Institute for Technical Research, Po­lish Academy of Sciences, Swi~tokrzyska 21, Warszawa 1 (Poland).

SCHULTZ-GRUNOW, F., Institut für Mechanik, Tech­nische Hochschule Aachen, 51 Aachen (Ger-many). ·

SEnov, L. I., Institute of Mechanics, USSR Aca­demy of Sciences, 7 Leningrad Avenue, Moscow A-40 (USSR).

SENGBUSCH, K. v., Max-Planck-lnstitut für Physik und Astrophysik, 8 München 23, Föhringer Ring 6 (Germany).

SERENSEN, S. V., Institute of Mechanical Engineer­ing, 4 Gribojedova Street, Moscow-Centre (USSR).

SETH, B. R., Department of Mathematics, Indian Institute of Technology, Kharagpur, W. Bengal (lndia).

SHA.PIRO, G. S., Institute of Mechanics, USSR Aca­demy of Sciences, 7 Leningrad Avenue, Moscow A-40 (USSR).

SHERMAN, F. S., Division of Aeronautical Sciences, University of California, Berkeley, Cal. 94 720 (U. S.A.).

SmELD, R. T., Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Cal. 91109 (U. S. A.).

SHNEIDEROVITCH, R. M., Institute of Mechanical Engineering, 4 Gribojedova Street, Moscow­Centre (USSR).

SILVESTER, M. E., Aero Engine Division, Rolls­Royce Ltd., P. 0. Box 31, Derby (U. K.).

SINBEL, M. A., Department of Fluid Mechanics and Hydraulics, Faculty of Engineering, Ain Shams University, Cairo (U. A. R.).

SIRIEIX, M., Office National d'Etudes et de Recher­ehes Aerospatiales (0. N. E. R. A.), ChAtillon­sous-Bagneux, Seine (France).

XX List of Authors

SPACEK, L., SVUTT, Husova 8, Praha 16 (Czecho­slovakia).

STUART, J. T., Aerodynamics Division, National Physical Laboratory, Teddington, Middlesex (U. K.).

TANI, 1., Institute of Space and Aeronautical Sci­ence, University of Tokyo, Komaba, Meguro-ku, Tokyo (Japan).

TAYLOR, G.l., Farmfield, Huntingdon Road, Cam­bridge (U. K.).

THEOCARIS, P. S., Laboratory for Testing Materials, Athens National Technical University, 5 Zo­graphou Street, Athens 625 (Greece).

TJ0TTA, S., Matematisk Institutt, Universitetet i Bergen, Allegt. 34, Bergen (Norway).

TORZHEVSKY, A. P., Institute of Mathematics, USSR Academy of Sciences, 28 Vavilov Street, Moscow V-333 (USSR).

TouPIN, R. A., IBM Watson Research Center, York­town Heights, N. Y. 10598 (U. S. A.).

TRAUGOTT, S. C., Research and Development De­partment, Mail No. 3033, Martin Company, Bai­timore Division, Baltimore, Md. 21203 (U. S. A.).

TRUESDELL, C., Department of Mechanics, Johns Hopkins University, Baltimore, Md. 21218 (U. S. A.).

TuLIN, M. P., Hydronautics, Inc., Pindell School Road, Laurel, Md. (U. S. A.).

UcHIDA, S., Department of Aeronautical Engineer­ing, Nagoya University, Chikusa-ku, Nagoya (Japan).

UEMURA, M., Institute of Space and Aeronautical Science, University of Tokyo, 856, Komaba, Meguro-ku, Tokyo (Japan).

VEKUA, I. N., Gruzinian Academy of Sciences, ul. Dzerzhinskogo 8, Tbilisi (USSR).

VELTE, W., Deutsche Versuchsanstalt für Luft­und Raumfahrt e. V., Institut für Augewandte Mathematik und Mechanik, 78 Freiburg i. Br., Hebelstr. 27 (Germany).

VIVES, CH., College Scientifique Universitaire, 33, rue Louis Pasteur, Avignon (France).

WALLISCH, W., Institut für Mathematik, Friedrich­Schiller-Universität, Jena,Abbeanum(Germany).

WATANABE, K., Department of Aeronautical Engi­neering, Nagoya University, Chikusa-ku, Na­goya (Japan).

WAY, S., Department of Mechanical Engineering, University of California, Santa Barbara, Cal. 93106 (U. S. A.).

WEIDENHAMMER, F., Institut für Technische Me­chanik, Technische Hochschule Karlsruhe, 75 Karlsruhe, Kaiserstr. 12 (Germany).

WEINEL, E., Institut für Mathematik, Friedrich­Schiller-Universität, Jena, Abbeanum (Ger­many).

WIGLEY, C., Flat 103, 6 Charterhouse Square, Lon­don E. C. 1 (U. K.).

WIJNGAARDEN, L. VAN, Netherlands Ship Model Basin, Haagsteeg 2, Wagehingen (Netherlands).

WILLE, R., Deutsche Versuchsanstalt für Luft- und Raumfahrt e. V., Institut für Turbulenzfor­schung, 1 Berlin 12, Gartenufer 8 (Germany).

WILLIS, D. R., Division of Aeronautical Sciences, University of California, Berkeley, Cal. 94720 (U. S. A.).

WILLS, J. A. B., Aerodynamics Division, National Physical Laboratory, Teddington, Middlesex (U. K.).

WILSON, R. W., Department of Mechanical Engi­neering, Derby and District College of Techno­logy, Kedleston Road, Derby (U. K.).

WoRTMANN, F. X., Institut für Aerodynamik und Gasdynamik, Technische Hochschule Stuttgart, 7 Stuttgart-Vaihingen, Pfaffenwaldstr. (Ger­many).

YosHIKI, M., Department of Naval Architecture, Faculty of Engineering, University of Tokyo, Motofuji-cho, Bunkyo-ku, Tokyo (Japan).

ZASLAVSKY, B. 1., Siberian Academy of Sciences, Novosibirsk (USSR).

ZIEGLER, H., Institut für Technische Mechanik, Eidgenössische Technische Hochschule Zürich, Rüschlikon (Switzerland).

ZLATOUSTOV, V. A., Institute of Mathematics, USSR Academy of Sciences, 28 Vavilov Street, Moscow V-333 (USSR).

LIST OF PARTICIPANTS

ABRAMIAN, B. L., Erevan (U. S. S. R.) ADAMS, E., Freiburg i. Br. (Germany) ADOMEIT, G., Aachen (Germany) AGOSTINELLI, 0., Torino (ltaly) ALBERT!, N., Palermo (Italy) ALBLAS, J. B., Eindhoven (Netherlands) ALLEN, G., Sheffield (U. K.) AMBARTSUMIAN, S. A., Erevan (U. S. S. R.) AMIEL, R., Marseille (France) ANDRE, K., Berlin (Germany) ANDREW, M. M., Washington, D. C. (U. S. A.) ANGELIC, T., Beograd (Yugoslavia) APPELQVIST, B., Göteborg (Sweden) ARGYRIS, J. H., Stuttgart (Germany) ARIARATNAM, S. T., Waterloo, Ont. (Canada) ARISAN, F., Istanbul (Turkey) ARLINGER, B., Linköping (Sweden) ARNAUDON, J., Poitiers, Vienne (France) ARNOLD, A., München (Germany) ARNOLD, L., New York, N. Y. (U. S. A.) ARuTIUNIAN, N. Krr., Erevan (U. S. S. R.) AULL, L. B., Frankfurt a. M. (Germany) AzAD, R. S., London (U. K.)

BABENKO, K. I., Moscow (U. S. S. R.) BÄR, E., München (Germany) BAIER, 0., München (Germany) BAINES, W. D., Toronto, Ont. (Canada) BAITER, H.-J., Göttingen (Germany) BALDAUF, H., Mannheim (Germany) BALLO, I., Bratislava (Czechoslovakia) BAMMERT, K., Hannover (Germany) BANKS, W. H. H., Liverpool (U. K.) BARDINET, H., Poitiers, Vienne (France) BARENBLATT, G. I., Moscow (U. S. S. R.) BARNES, F. H., Edinburgh (U. K.) BARNES, J. F., Farnborough, Hants. (U. K.) BARNETT, T. R., Harrogate, Yorks. (U. K.) BARON, M. L., New York, N. Y. (U. S. A.) BARP, B., Zürich (Switzerland) BARTA, J., Budapest (Hungary) BARTH, W., Karlsruhe (Germany) BARTLMÄ, F., Aachen (Germany) BATCHELOR, G. K., Cambridge (U. K.) BAUER, H., Darmstadt (Germany) BAUHUBER, F., München (Germany) BEOK, J. W., München (Germany) BEOKER, E., Darmstadt (Germany) BEOKER, J. V., Warwick, Va. (U. S. A.) BEOKERS, H. L., Amsterdam (Netherlands) BEEUWKSES, R., Watertown, Mass. (U. S. A.) BEGUIN, G. H., Geneve (Switzerland) BEHR, D., Clausthal-Zellerfeld (Germany)

BENJAMIN, T. B., Cambridge (U. K.) BENNEY, D. J., Cambridge, Mass. (U. S. A.) BENTHEM, J. P., Amsterdam (Netherlands) BENZ, G., Karlsruhe (Germany) · BERMON, J., Paris (France) BERNDT, S. B., Stockholm (Sweden) BERRY, D. S., Nottingham (U. K.) BESSELING, J. R., Delft (Netherlands) BETZ, A., Göttingen (Germany) BIANOHI, G., Milano (Italy) BIAREZ, J., Grenoble, Isere (France) BrsHOP, R. E. D., London (U. K.) BITSAKOS, L., Athens (Greece) BJORNO, M., Kastrup (Denmark) BLAND, D. R., Manchester (U. K.) BoDINE, R. Y., Milwaukee, Wis. (U. S. A.) BöHM, F., Stuttgart (Germany) BöHME, G., Darmstadt (Germany) DE BoER, R., Hannover (Germany) BoGGs, F. W., Wayne, N. Y. (U. S. A.) LE BorTEUX, H., Paris (France) BoLEY, B. A., New York, N. Y. (U. S. A.) BaLLERMANN, W., München (Germany) BoLOTIN, V. V., Moscow (U. S. S. R.) BoNNIN, J.-C., Chatillon-sous-Bagneux, Seine

(France) BoRGWARDT, F., Braunschweig (Germany) BoszNAY, A., Budapest (Hungary) BouoHON, H., Paris (France) BouMA, A. L., Rijswijk (Netherlands) BouRQUE, C., Quebec (Canada) BRAY, R. W., Cambridge (U. K.) BROIC, V., Beograd (Yugoslavia) BREAOH, D. R., Toronto, Ont. (Canada) BREDOW, H.-J. v., Hannover (Germany) BREUSERS, H. N. C., Delft (Netherlands) BRINDLEY, J., Leeds (U. K.) BRINKMANN, G., Stuttgart (Germany) BROER, L. J. F., Eindhoven (Netherlands) BROMMUNDT, E., Darmstadt (Germany) BROWN, C. E., Boston (U. S. A.) BROWN, E. H., London (U. K.) BRUN, L., Paris (France) BRUUN, H. H., Kobenhavn (Denmark) BRYANT, P. J., Cambridge (U. K.) BuoHWALD, V. T., Sydney (Australia) BuoKENS, F., Heverle-Louvain (Belgium) BuDIANSKY, B., Cambridge, Mass. (U. S. A.) BüRGER, W., Darmstadt (Germany) BuFLER, H., München (Germany) BuGGISOH, H., Darmstadt (Germany) BuRNS, J. G., Edinburgh (U. K.) BuRNSIDE, R. R., Toronto, Ont. (Canada)

XXII List of Participants

BuscH, N. E., Roskilde (Denmark) BuTLER, D. S., Glasgow (U. K.)

CAPRIZ, G., Pisa (Italy) CARLSSON, A. J., Bandhagen (Sweden) CARNEGIE, W., Sanderstead, Surrey (U. K.) CARRIER, G. F., Cambridge, Mass. (U. S. A.) CARRrEJRE, P., Chatillon-sous-Bagneux, Seine

(France) ÜASTIGLIANI, A., Milano (Italy) QETMELI, E., Istanbul (Turkey) CHAHINE, M., Pasadena, Cal. (U. S. A.) ÜHALEAT, R., Besan9on, Doubs (France) ÜHANG, A., Berlin (Germany) CHANG, S. S., Birmingham (U. K.) ÜHAPMAN, P. B., Toronto, Ont. (Canada) ÜHARTIER, 0., Poitiers, Vienne (France) ÜHEN, C. P. J., Paris (France) ÜHERNYI, G. G., Moscow (U. S. S. R.) CHESTER, W., Bristol (U. K.) CHRIST, H., Karlsruhe (Germany) ÜHRISTIANOVITCH, S. A., Novosibirsk (U. S. S. R.) ÜHRIBTIANSEN, J., Kobenhavn (Denmark) ÜLAUSER, E., Milano (Italy) ÖoLAK-ANTIC, P., Freiburg i. Br. (Germany) CoLLINS, W. D., Manchester (U. K.) ÜOMOLET, R., Boulogne, Seine (France) CONRAD, D. A., Woodland Hills, Cal. (U. S. A.) CooK, I. T., Cottingham, Yorks. (U. K.) CoRcos, G. M., London (U. K.) CoUPRY, G., Chatillon-sous-Bagneux, Seine (France) CouRSEAU, M., Lyon (France) Cox, R. G., Cambridge (U. K.) ÜRAIK, A. D. D., St. Andrews, Fife (U. K.) ÜRANCH, E. T., Ithaca, N. Y. (U. S. A.) ÜRANDALL, S. H., Cambridge, Mass. (U. S. A.) ÜRAUSSE, E., Avignon (France) ÜRAWLEY, J., Newcastle-upon-Tyne (U. K.) ÜRAYA, A., Grenoble, Isere (France) CREDE, C. E., Altadena, Cal. (U. S. A.) CRISTESCU, N., Bucure~ti (Rumania) CzERWENKA, G., Bremen (Germany) CzrnERE, T., Budapest (Hungary)

DANEK, 0., Praha (Czechoslovakia) DARRIEUS, G., Paris (France) DARROZES, J. S., Chatillon-sous-Bagneux, Seine

(France) DAUBERT, M., Chatou, Seine-et-Oise (France) DAVEY, A., Teddington, Middlesex (U. K.) DAVID, M., Paris (France) DAVIES, R. M., London (U. K.) DAVIS, A. M. J., London (U. K.) DEHOUSSE, M., Elisabethville (Congo) DENNIS, S. C. R., Sheffield (U. K.) DESOYER, K., Wien (Austria) DETZER, K., München (Germany) DEUTLER, H., München (Germany) DEXTER, M., Bruxelles (Belgium) DIEZ RacHE, J. T., Madrid (Spain) DlMAGGIO, F. L., New York, N. Y. (U. S. A.) DINKELACKER, A., München (Germany) DIPRIMA, R. C., Troy, N. Y. (U. S. A.) DIXON, C., Dundee (U. K.) DIXON, J. R., Glasgow (U. K.)

DIZIOGLU, B., Braunschweig (Germany) DoBRJANSKYJ, L., New York, N. Y. (U. S. A.) DoLPAPTCHIEV, B., Sofia (Bulgaria) DousSAIN, R., Paris (France) DowNs, A. D., Sheffield (U. K.) DRAZIN, P. G., Bristol (U. K.) DREXLER, J., Praha (Czechoslovakia) Duc-LAM, N., Chatillon-sous-Bagneux, Seine

(France) DunDECK, H., Düsseldorf (Germany) DuMAS, R., Marseille (France) DuMITREscu, D., Bucure!jti (Rumania) DuNGEN, F. H. VAN DEN, Bruxelles (Belgium) DuRAND, M., Fresnes, Seine (France) DuRGARIAN, S. M., Erevan (U. S. S. R.) DuvAUT, G., Paris (France) DYER, R. H., Brighton (U. K.) VAN DYKE, M., Stanford, Cal. (U. S. A.)

EASON, G., Glasgow (U. K.) EBBENI, J., Bruxelles (Belgium) EBNER, H., Aachen (Germany) EFSTATHIADES, G., Birmingham (U. K.) EIBEL, H., Nürnberg (Germany) EICHHÖFER, G., OttobrunnjMünchen (Germany) EMMONS, H. W., Cambridge, Mass. (U. S. A.) ENDRES, W., Ennetbaden, Aargau (Switzerland) ENGLAND, A. H., Nottingham (U. K.) EPPLER, R., Ottobrunn/München (Germany) EPSTEIN, B., London (U. K.) ERDOGAN, M. E., Istanbul (Turkey) ERGÜN, K., München (Germany) ERINGEN, A. C., Lafayette, Ind. (U. S. A.) EscHENAUER, H., Darmstadt (Germany) EsMEIJER, W. L., Eindhoven (Netherlands) EssLINGER, M., Braunschweig (Germany) EuJEN, E., Braunschweig (Germany)

FADLE, J., Karlsruhe (Germany) FALK, S., Braunschweig (Germ,any) FALKENHEINER, H., München (Germany) FAURE, J., Chatou, Seine-et-Oise (France) FAVRE, A., Marseille (France) FAXEN, H., Stockholm (Sweden) FAY, A., Budapest (Hungary) FERNHOLZ, H., Großsachsen b. WeinheimjBergstr.

(Germany) FERRANDON, J., Paris (France) FESSLER, H., Nottingham (U. K.) FFowcs-WILLIAMS, J. E., Boston, Mass. (U. S. A.) FICKER, E., Dachau (Germany) FILTER, H., München (Germany) FINK, P. T., Sydney (Australia) FINN, W. D. L., Vancouver, B. C. (Canada) FINNIE, I., Berkeley, Cal. (U. S. A.) FINZI, B., Milano (Italy) FrNzi, L., Milano (Italy) FISCHER, G., MülheimjRuhr (Germany) FiscHER, H., München (Germany) FLAUM, M., Stockholm (Sweden) FLAVIN, J. M., Galway (lreland) FLECKENSTEIN, J. 0., München (Germany) FLOOR, W. K., Delft (Netherlands) FLÜGGE, W., Stanford, Cal. (U. S. A.) FöPPL, L., München (Germany)

List of Participants XXIII

FoNG, C. F. C., Aberystwyth, Wales (U. K.) FORTIER, A., Orsay, Seine-et-Oise (France) FRANK, E., Evanston, Ill. (U. S. A.) FREDERICK, C. 0., London (U. K.) FRENKIEL, F. N., Washington, D. C. (U. S. A.) FREUDENSTEIN, F., New York, N. Y. (U. S. A.) FRIESECKE, K., OttobrunnfMünchen (Germany) FRIMBERGER, R., München (Germany) FRÖSSLING, N., Göteborg (Sweden) FROHN, A., Aachen (Germany) FRYBA, L., Praha (Czechoslovakia)

GABORIEAU, J. P., Rennes (France) GACHON, H., L'Hay-les-Roses, Seine (France) GAIDOSCH, H., Ottobrunn/München (Germany) GARDNER, L. R. T., Bangor, North Wales (U. K.) GARKISCH, H. D., Braunschweig (Germany) GASNIER, R., Paris (France) GAus, M. P., Washington, D. C. (U. S. A.) GAUTIDER, L., Nice (France) GAVIGLIO, J., Marseille (France) GAYMANN, T., Ottobrunn/München (Germany) GEEN, R. VAN, Bruxelles (Belgium) GEERLINGS, J. J. P., Delft (Netherlands) GEERTSMA, J., Rijswijk (Netherlands) GEERTZ, A., Harnburg-Finkenwerder (Germany) GEIER, B., Bienrode b. Braunschweig (Germany) GEIGER, W., Frankfurt a. M. (Germany) GENTE, E., Mülheim/Ruhr (Germany) GERIG, 0., Aachen (Germany) GERSTEN, K., Braunschweig (Germany) GEURST, J. A., Waalre, N-Br (Netherlands) GHAFFARI, A., Greenbelt, Md. (U. S. A.) GIBBS, H. G., Birmingham (U. K.) GIENCKE, E., Berlin (Germany) GIESE, J. H., Havre de Grace, Md. (U. S. A.) GIESEKUS, H., Köln (Germany) GILL, A. E., Cambridge, Mass. (U. S. A.) GLADWELL, G. M. L., Southampton (U. K.) GLAUERT, M. B., Norwich (U. K.) GöBL, V., Salzburg (Austria) GöcKE, H., Magdeburg (Germany) GöLLNITZ, H., Göttingen (Germany) GöRTLER, H., Freiburg i. Br. (Germany) GOETHALS, R., Poitiers, Vienne (France) GoLDENVEIZER, A. L., Moscow (U. S. S. R.) GoLDSTEIN, S., Cambridge, Mass. (U. S. A.) GOLDSWORTHY, F. A., Leeds (U. K.) GONDA, J., Bratislava (Czechoslovakia) GONTIER, G., Lilie, Nord (France) GooDIER, J. N., Stanford, Cal. (U. S. A.) GORODTSOV, V. A., Moscow (U. S. S. R.) GoRUP, G. v., Ottobrunn/München (Germany) GouLARD, R., Lafayette, Ind. (U. S. A.) GOULDING, 0., London (U. K.) GRABITZ, G., Göttingen (Germany) GRAD, H., New York, N. Y. (U. S. A.) GRADOWCZYK, M. H., Buenos Aires (Argentinia) GRAEBEL, W. P., Ann Arbör, Mich. (U. S. A.) GRAHAM, G. A. C., Glasgow (U. K.) GRAVESEN, S., Kobenhavn (Denmark) GREEN, W. A., Nottingham (U. K.) GREENSPAN, H. P., Cambridge, Mass. (U. S. A.) GRETLER, W., Aachen (Germany) GREUER, R., Essen (Germany)

GRIBBEN, R. J., Southampton (U. K.) GRIGORIAN, S. S., Moscow (U. S. S. R.) GROENEVELD, G., Eindhoven (Netherlands) GROHNE, D., Göttingen (Germany) GRoss, W. A., Redwood City, Cal. (U. S. A.) GRUBER, J., Budapest (Hungary) GRÜNWALD, E., Erlangen (Germany) GuDERLEY, K. G., Dayton, Ohio (U. S. A.) GüNTHER, H. L., Harnburg (Germany) GüNTHER, W., Karlsruhe (Germany) GuiLLAUME, L., Gif-sur-Yvette, Seine-et-Oise

(France) GuiRAUD, J. P., Chatillon-sous-Bagneux, Seine

(France) GuREWITSCH, A. M., Zürich (Switzerland) GuRR, S., Stuttgart (Germany)

HAGEMANN, W., Berlin (Germany) HAHN, H. G., München (Germany) HAINZL, J., Freiburg i. Br. (Germany) HA.JDIN, N., Beograd (Yugoslavia) HALEUX, P., Bruxelles (Belgium) HALL, W. S., Newcastle-upon-Tyne (U. K.) HANAGUD, S., Stanford, Cal. (U. S. A.) HANDELMANN, G. H., Troy, N. Y. (U. S. A.) HANSEN, E. B., Kobenhavn (Denmark) HANSEN, H. H., Kobenhavn (Denmark) HANssoN, S. H., Stockholm (Sweden) HARINGX, J. A., Eindhoven (Netherlands) HARMEGNIES, C., Bruxelles (Belgium) DEN HARTOG, J. P., Cambridge, Mass. (U. S. A.) HARTZ, B. J., Seattle, Wash. (U. S. A.) HAUWERMEIREN, T. VAN, Bruxelles (Belgium) HAYES, W. D., Princeton, N. J. (U. S. A.) HAYWOOD, J. H., Dunfermline, Fife (U. K.) HAzEBROEK, P., Rijswijk (Netherlands) HECKEL, K., München (Germany) HEESE, D., Aachen (Germany) HEIDENHAIN, H., Karlsruhe (Germany) HEINHOLD, J., München (Germany) HEINRICH, G., Wien (Austria) HEINRICHSBAUER, F. J., Mülheim(Ruhr (Germany) HELLE, R., Karlshorst (Germany) HELLIWELL, J. B., Glasgow (U. K.) HEMP, W. S., Oxford (U. K.) HENDERSON, J., London (U. K.) HENDRIX, C. P., Eindhoven (Netherlands) HENNESSY, T. R., Cambridge (U. K.) HENRY, R. F., Cambridge (U. K.) HE;RBECK, M., Göttingen (Germany) HERGENRÖDER, A., München (Germany) HERING, K., Wolfenbüttel (Germany) HERRMANN, G., Evanston, 111. (U. S. A.) HETENYI, M., Stanford, Cal. (U. S. A.) HETHERINGTON, R., Derby (U. K.) D'HIERES, C., Grenoble, Isere (France) RIGGINS, T. P., Aachen (Germany) HIJAB, W. A., Beirut (Lebanon) HILDEBRAND, R., München (Germany) HILLIER, K. W., Harrogate, Yorks. (U. K.) HocKING, L. M., London (U. K.) HöBEL, W., Karlsruhe (Germany) HöHN, E., Darmstadt (Germany) HoFF, N. J., Stanford, Cal. (U. S. A.) HoLFORD, R. L., Manchester (U. K.)

XXIV List of Participants

HoLMBERG, B. R., Göteborg (Sweden) HoLSTEIN, H., Southsea, Ha.nts. (U. K.) HoPKINS, H. G., Sevenoaks, Kent (U. K.) HOPPE, H., Braunschweig (Germany) RaPPMANN Il, W. H., Troy, N. Y. (U. S. A.) HoQUE, M. N., Manchester (U. K.) HoRSSEN, W. VAN, Delft (Netherlands) HosP, E., München (Germany) HowARD, L. N., Cambridge, Mass. (U. S. A.) Hsu, C. S., Berkeley, Cal. (U. S. A.) Hsu, T. C., Edinburgh (U. K.) HuBER, E., Ottobrunn/München (Germany) HuBERS, J. H., Eindhoven (Netherlands) HuDSON, I. A., Cambridge (U. K.) HuG, M., Chatou, Seine-et-Oise (France) HULEUX, A., Bruxelles (Belgium) HuNTH, W., OttobrunnfMünchen (Germany) HURTY, W. C., Los Angeles, Cal. (U. S. A.) HuszAR, S., Budapest (Hungary) HuTCHINSON, J. W., Cambridge, Mass. (U. S. A.) HuTSON, V., Sheffield (U. K.)

IGENBERGS, E. B., München (Germany) IGENBERGS, P. P., München (Germany) ILLINGWORTH, C. R., Stockport, Cheshire (U. K.) IL'YUSHIN, A. A., Moscow (U. S. S. R.) INAN, M., Istanbul (Turkey) IoNESCU, D. G., Bucure~ti (Rumania) IsAI, W. H., Harnburg (Germany)

JABLONSKI, A., Ottobrunn/München (Germany) JABUREK, F., Graz (Austria) JACKSON, F. J., Cambridge, Mass. (U. S. A.) JACOB, C., Bucure~ti (Rumania) JÄGER, B., Stuttgart (Germany) JAHN, R., München (Germany) JARVIS, R. J., Dundee (U. K.) JAUMOTTE, A., Bruxelles (Belgium) JEFFREY, A., Littleover, Derby (U. K.) JENKINS, D. C., Farnborough, Hants. (U. K.) JERIE, J., Praha (Czechoslovakia) Jonc, K., Beograd (Yugoslavia) JoNES, B. H., Liverpool (U. K.) JONG, W. DE, Geleen (Netherlands) JONGEBREUR, A., Amsterdam (Netherlands) JORDAN, H., Friedrichshafen (Germany) JoRDAN, P. F., Lutherville, Md. (U. S. A.) JUHAsz, S., San Antonio, Tex. (U. S. A.) JUNGCLAus, G., Karlsruhe (Germany)

KÄSTNER, E., München (Germany) KAlLA, M. M., Helsinki (Finland) KAisER, G., ImmenstaadJBodensee (Germany) KALKER, J. J., Den Haag (Netherlands) KALNms, A., New Haven, Conn. (U. S. A.) KALWEIT, M., München (Germany) KAMPE DE FERIET, J., Lilie, Nord (France) KANWAL, R. P., University Park, Pa. (U. S. A.) KARAiil:CHETI, K., Stanford, Cal. (U. S. A.) KARL, W. C., Washington, D. C. (U. S. A.) KARLSSON, S. K. F., Providence, R. I. (U. S. A.) KATo, H., Tokyo (Japan) KAwAI, T., Tokyo (Japan) KEFFER, J. F., Cambridge (U. K.) KELLNER, T., Stuttgart (Germany)

KEMPNER, J., Brooklyn, N. Y. (U. S. A.) KERR, A. D., New York, N. Y. (U. S. A.) KERSELEY, L., Edinburgh (U. K.) KESSEL, S., Karlsruhe (Germany) KESTENS, J., Bruxelles (Belgium) KEUNE, F., Aachen (Germany) KHoMmSKI, A. I., Moscow (U. S. S. R.) KlESSLING, F., München (Germany) KlESSLING, I., Friedrichshafen (Germany) KILDAL, A., Bergen (Norway) KILDEGAARD, A., Kobenhavn (Denmark) KLARHOEFER, C., Berlin (Germany) KLEBANOFF, P. S., Washington, D. C. (U. S. A.) KLEIN, G., Frankfurt a. M. (Germany) KLOTTER, K., Darmstadt (Germany) KNESCHKE, A., FreibergJSa. (Germany) KNOCHE, H. G., Ottobrunn/München (Germany) KNOPS, R. J., Newcastle-upon-Tyne (U. K.) KocHANOWSKY, W., Göttingen (Germany) KöNIG, H., München (Germany) KöNIG, K., München (Germany) KOlTER, W. T., Delft (Netherlands) KoLLMANN, F. G., München (Germany) KoNDO, J., Tokyo (Japan) KoPPE, E., OttobrunnfMünchen (Germany) KOPPENWALLNER, G., Göttingen (Germany) KovASY, K., Zürich (Switzerland) KovASZNAY, L. S. G., Baltimore, Md. (U. S. A.) KowALEWSKI, J., MülheimJRuhr (Germany) KRAUS, L., Wiesbaden (Germany) KRAUSE, D., München (Germany) KRAVTCHENKO, J., Grenoble, Isere (France) KRESSNER, W. K. H., München (Germany) KRISTENSEN, H. S., Kobenhavn (Denmark) KRÖNER, E., Clausthal-Zelledeld (Germany) KROMM, A., Graz (Austria) KRÜGER, U., Ludwigsburg (Germany) KRUIZINGA, J. H., Amsterdam (Netherlands) KRUMHAAR, H., Freiburg i. Br. (Germany) KRUPPE, J., Braunschweig (Germany) KUBANKE, D., München (Germany) KuBITZA, W., Manhattan, Kan. (U. S. A.) KücHEMANN, D., Farnborough, Hants. (U. K.) KüHNER, W., München (Germany) KüNZER, H., Oberpfaffenhafen (Germany) KuERTI, G., Cleveland, Ohio (U. S. A.) KUHELY, A., Ljubljana (Yugoslavia) KuiPERS, M., Eindhoven (Netherlands) KUNERT, K., Schweinfurt (Germany) KuPEC, P., München (Germany) KuRATA, M., Osaka (Japan) KuYPERS, W. J. J., Eindhoven (Netherlands) KYDONIEFS,-A. D., West Bridgfort, Nottingh.

(U. K.) KYNER, W. T., Los Angeles, Cal. (U. S. A.)

LAGARDE, A., Poitiers, Vienne (France) LAGERSTRÖM, P. A., Pasadena, .Cal. (U. S. A.) LAIER, W., Ottobrunn/München (Germany) LAMBERT, T. H., London (U. K.) LAMMEL, E., München (Germany) LANE, W. R., Porton Down, Wilths. (U. K.) LANGE-HANSEN, P., Kobenhavn (Denmark) LANGEMEYER, P., Braunschweig (Germany) LASCHKA, B., München (Germany)

List of Participants XXV

LASSMANN, S., München (Germany) LAUFER, J., Los Angeles, Cal. (U. S. A.) LAUSSERMAIR, F., München (Germany) LAUVSTAD, V., Oslo (Norway) LAWRIE, J. M., Birmingham (U. K.) LAZAN, B. J., Minneapolis, Minn. (U. S. A.) LEACH, S. J., Sheffield (U. K.) LEBDUSKA, J., Praha (Czechoslovakia) LEBRUN, G., Paris (France) LECOCQ, P., Chatou, Seine-et-Oise (France) LEE, E. H., Stanford, Cal. (U. S. A.) LEGENDRE, R., Chatillon-sous-Bagneux, Seine

(France) LEHMANN, TH., Hannover (Germany) LEHRKE, H.-P., Braunschweig (Germany) LEIPHOLZ, H., Karlsruhe (Germany) LEISS, F., Linkenheim b. Karlsruhe (Germany) LEITER, E., Wien (Austria) LEKKERKERKER, J. G., Delft (Netherlands) LERCHENTHAL, CH. H., Haifa (Israel) LEVASSEUR, M., Paris (France) LEVEN, G., Mülheim/Ruhr (Germany) LEVINE, H., Stanford, Cal. (U. S. A.) L:EvY-SoussAN, G., Monte Carlo (Monaco) LIEBISCH, H., München (Germany) LIEPMANN, H. W., Pasadena, Cal. (U. S. A.) LIGHTIDLL, M. J., Farnborough, Hants. (U. K.) LIN, C. C., Cambridge, Mass. (U. S. A.) LINDEN, C. A. M. VAN DER, Amsterdam (Nether-

lands) LINKE, G., München (Germany) LIPPMANN, H., Hannover (Germany) Lru, Y. K., Detroit, Mich. (U. S. A.) LOITSIANSKI, L. G., Leningrad (U. S. S. R.) LooF, H. W., Den Haag (Netherlands) LowE, J. F., München (Germany) LowNDES, J. S., Glasgow (U. K.) LuDFORD, G. S. S., Ithaca, N. Y. (U. S. A.) LUDWIEG, H., Göttingen (Germany) LUDWIG, E., Darmstadt (Germany) LuKASIEWICZ, S., Warszawa (Poland) LUMLEY, J. L., St,ate College, Pa. (U. S. A.) Luz, E., Stuttgart (Germany) LYONS, W., Warszawa (Poland) LYPE, E. F., Cleveland, Ohio (U. S. A.)

MACCOLL, J. W., Farningham, Kent (U. K.) MACKENSEN, H., Ottobrunn/München (Germany) MAGNUS, K., Stuttgart (Germany) MAHALINGAM, S., London (U. K.) MAHRENHOLTZ, 0., Hannover (Germany) MAINZER, F.-J., Oberhausen-Sterkrade (Germany) MALKWITZ, H., Nürnberg (Germany) LE MANACH, J., Gif-sur-Yvette, Seine-et-Oise

(France) MANAKORDA, T., Pisa (Italy) MANDEL, J., Paris (France) MANSFIELD, E. H., Farnborough, Hants. (U. K.) MANZELLA, G., Palermo (Italy) MARcus, H., Washington, D. C. (U. S. A.) MARECHAL, J., Grenoble, Isere (France) MARGUERRE, K., Darmstadt (Germany) MARKETOS, E., Athens (Greece) MARTENSEN, E., Darmstadt (Germany) MARTIN, G., Nürnberg (Germany)

MARTIN, M., Epinay, Seine (France) MARTINOT-LAGARDE, A., Lilie (France) MASON, W. P., Murray Hill, N. J. (U. S. A.) MAssA, E., Milano (Italy) MASSIGNON, D., Gif-sur-Yvette, Seine-et-Oise

(France) MATIDEU, J., Lyon (France) MATHURIN, C., Poitiers, Vienne (France) MATSCHAT, K., Göttingen (Germany) MATSCHINSKI, M., St. Michel-sur-Orge, Seine-et-

Oise (France) MATTIDEU, P., Berlin (Germany) MAuNDER, L., Newcastle-upon-Tyne (U. K.) MAYNE, G., Bruxelles (Belgium) MAZET, R., Chatillon-sous-Bagneux, Seine (France) McCARTHY, M. F., Nottingham (U. K.) McCuTCHEON, J. 0., Montreal (Canada) McEwAN, A. D., Cambridge (U. K.) McVEAN, D. B., Zürich (Switzerland) MEIER, G., Göttingen (Germany) MEIJERS, P., Delft (Netherlands) MEISTER, E., RiegelsbergfSaar (Germany) MEIXNER, J., Aachen (Germany) MENTRE, P., Chatillon-sous-Bagneux, Seine (France) MERK, H. J., Delft (Netherlands) MERZ, E., Karlsruhe (Germany) MESKAT, W., Leverkusen (Germany) MESMER, G., St. Louis, Mo. (U. S. A.) METTLER, E., Karlsruhe (Germany) METZGER, R., OttobrunnfMünchen (Germany) MEYER, M. L., Sheffield (U. K.) MEYER-JENS, R., Bremen (Germany) MICHAEL, D. H., London (U. K.) MICHALKE, A., Berlin (Germany) MicHEL, R., Chatillon-sous-Bagneux, Seine (France) MIGIRDICYAN, Z., Düsseldorf (Germany) MIKLOWITZ, J., Pasadena, Cal. (U. S. A.) MILADINOV, J., Skopje (Yugoslavia) MILES, J. W., La Jolla, Cal. (U. S. A.) MrLLER, D. R., London, Ont. (Canada) MILNE-THOMSON, L. M., Sevenoaks, Kent (U. K.) MrNKHORST, I. H. K., Geleen (Netherlands) MöNcH, E., München (Germany) MoFFATT, H. K., Cambridge (U. K.) MoHACSI, S., Herzogenaurach (Germany) MoLERUS, 0., Karlsruhe (Germany) MoLLO-CHRISTENSEN, E., Cambridge, Mass.

(U.S.A.) MoORE, F. K., Ithaca, N. Y. (U. S. A.) MoRAVEC, Z., Praha (Czechoslovakia) MoRA WETZ, CATHLEEN S., New York, N. Y. (U.S. A.) MoRCH, L. A., Kobenhavn (Denmark) MoREAU, E., Paris (France) MoREAU, R., Grenoble, Isere (France) MORETTI, C. F., Bilancourt, Seine (France) MoRLAND, L. W., Manchester (U. K.) MoRLEY, A. W., London (U. K.) MossAKOWSKI, J., Warszawa (Poland) MouLIN, TH., Chatillon-sous-Bagneux, Seine (France) MüLLER, A., München (Germany) MüLLER, E.-A., Göttingen (Germany) MüLLER, H. D., Ottobrunn/München (Germany) MuNGAN, I., München (Germany) MuRAKAMI, S., Nagoya (Japan)

· MusKHELISHVILI, N. I., Tbilisi (U. S. S. R.)

XXVI List of Participants

MusTER, D., Houston, Tex. (U. S. A.) MYLES, D. J., Glasgow (U. K.) MYLONAS, C., Providence, R. I. (U. S. A.)

NAEss, A., Oslo (Norway) NAGHDI, P. M., Berkeley, Cal. (U. S. A.) NASH, W. A., Gainsville, Fla. (U. S. A.) NASITTA, K., München (Germany) NAZE, J., Bergen (Norway) NEBEL, H., Clausthal-Zellerfeld (Germany) NEUBER, H., München (Germany) NEWMAN, J. N., Washington, D. C. (U. S. A.) NIOHOLL, C. I. H., Quebec (Canada) NIELSEN, M. P., Allerod (Denmark) NIELSEN, S., Hannover (Germany) NIORDSON, F., Kobenhavn (Denmark) NISHIWAKI, N., Tokyo (Japan) NüDLING, W., OttobrunnfMünchen (Germ,any)

ÜOKENDON, J. R., Oxford (U. K.) ÜDQVIST, F. K. G., Djursholm (Sweden) ÜETER, W., Düsseldorf (Germany) OHASm, Y., Nagoya (Japan) ÜLSZAK, W., Warszawa (Poland) O'NEILL, M. E., London (U. K.) ÜNUFRIEV, A. T., Novosibirsk (U. S. S. R.) ÜSBORNE, M. R., Edinburgh (U. K.) ÜSWATITSCH, K., Wien (Austria) ÜTTO, P., Heerleu (Netherlands) Ü"UDART, A., Paris (France) ÜVSJANNIKOV, L. V., Novosibirsk (U. S. S. R.)

PACK, D. C., Glasgow (U. K.) PAI, S. I., College Park, Md. (U. S. A.) PALANDRI, E. M., Cambridge (U. K.) PANOVKO, YA. G., Leningrad (U. S. S. R.) PARIS, M. T., Paris (France) PARKER, D. F., Teddington, Middlesex (U. K.) PARKus, H., Wien (Austria) PASTOR!, M., Milano (Italy) PEARSON, J. R. A., Cambridge (U. K.) PEDLEY, T. J., Cambridge (U. K.) PENN, C. A., Sheffield (U. K.) PERCY, M. J., Liverpool (U. K.) PERRONE, N., Washington, D. C. (U. S. A.) PERZYNA, P., Warszawa (Poland) PEUBE, J. L., Orsay, Seine-et-Oise (France) PFAFFENZELLER, A., München (Germany) PFENNINGER, W., Winterthur-Seen (Switzerland) PFLÜGER, A., Hannover (Germany) PFüTZNER, H., Berlin (Germany) PmLLIPPS, A., New Haven, Conn. (U. S. A.) PiOHAL, M., Praha (Czechoslovakia) PILLOW, A. F., Toronto, Ont. (Canada) PIPKIN, A. C., Providence, R. I. (U. S. A.) PissARENKO, G. S., Kiev (U. S. S. R.) PlvKo, S., Beograd. (Yugoslavia) PLUNKETT, R., Minneapolis, Minn. (U. S. A.) PomiER, Y., Avignon (France) PoNOliiAREV, S. C., Novosibirsk (U. S. S. R.) POPE, G. G., Farnborough, Hants. (U. K.) PoPoFF, K., Sofia. (Bulgaria) PoPOV, E. P., Berkeley, Cal. (U. S. A.) POPPER-BOAS, Y., Haifa (Israel) PORTER, B., Newcastle-upon-Tyne (U. K.)

FRAGER, W., La. Jolla, Cal. (U. S. A.) PRECKLER, A. G., San Seba.stian {Spain) PRosKURYAKOV, A. P., Moscow (U. S. S. R.) PÜTZ, A., Aachen (Germany) PUTTE, L. A. VAN DE, Delft (Netherlands)

. QUINLAW, P. M., Cork (Ireland)

RAABE, J., München (Germany) RABOTNOV, Yu. N., Moscow (U. S. S. R.) RADAJ, D., Braunschweig (Germany) RADENKOVIC, D., Paris (France) RADOSAVLJEVIC, L., Beograd (Yugoslavia) RANGER, K. B., Toronto, Ont. (Canada) RAo, A. K., München (Germany) RASCH, H., Karlsruhe (Germany) RASKOVIC, D. P., Beograd (Yugoslavia) RATHNA, S. L., Bangalore (India) REBILLAT, J. C., Poitiers, Vienne (France) RECHTEN, A., München (Germany) RECKLING, K.-A., Berlin (Germany) REHWALD, W., Bindelfingen (Germany) REICHERT, G., Ottobrunn/München (Germany) REINER, M., Haifa (Israel) REINHARDT, J. P., Eindhoven (Netherlands) REISSIG, R., Berlin (Germany) REISSNER, E., Cambridge, Mass. (U. S. A.) REITJIIEIER, W., München (Germany) REVELL, A., Newcastle-upon-Tyne (U. K.) RmNER, H. S., Toronto, Ont. (Canada) RlcHARD, H., Frauenaura.ch b. Erlangen (Germany) RIEBOLD, W., Ispra (Italy) RIEDER, G., Braunschweig (Germany) RIETDIJK, J. A., Eindhoven (Netherlands) RlliiROTT, F. P. J., Toronto, Ont. (Canada) RIVELL, T. L., Newark, N. J. (U. S. A.) ROBERTS, J. W., Edinburgh (U. K.) ROBSON, J. D., Edinburgh (U. K.) RocK, H., München (Germany) RoESNER, K., Göttingen (Germany) RoGERs, R. H., Brighton, Sussex (U. K.) RoGERS, T. G., Nottingham (U. K.) Rol\IBERG, G., Aachen (Germa.ny) RosENBERG, R. M., Berkeley, Ca.l. (U. S. A.) RosENBLAT, S., London (U. K.) RosENTHAL, D. K., Manchester (U. K.) Ross, M. A. S., Edinburgh (U. K.) RosTAU, E., Stuttgart (Germany) RoTHliiANN, H., Aachen (Germany) RoTT, N., Los Angeles, Cal. (U. S. A.) RouETTE, L., Aachen (Germany) RousE, H., Iowa City, Ia. (U. S. A.) RoY, M., Paris (France) RUBIN, E., Freeport, N. Y. (U. S. A.) RüOKER, C. v., München (Germany) RUEs, D., Aachen (Germany) RUPP, D., München (Germany) RusANOV, V. V., Moscow (U. S. S. R.)

SACHER, P., München (Germany) SAFAROW, A. M., Bad Godesberg (Germany) SAGIROW, P., Stuttgart (Germany) SALJNIKOV, V., Beograd (Yugoslavia) SAND, P., Aachen (Germany) SANITZ, D., Karlsruhe (Germany)

List of Participants XXVII

SANTON, M., Grenoble, Isere (France) SARYCHEV, V. A., Moscow (U. S. S. R.) SATTLER, W., Göttingen (Germany) SAUER, R., München (Germany) SAUMWEBER, E., München (Germany) SAVE, M. A., Mons (Belgium) SAVIC, P., Ottawa (Canada) SAVIN, G. N., Kiev (U. S. S. R.) SAWCZUK, A., Warszawa (Poland) ScHADE, D., Darmstadt (Germany) ScHAEFER, G., Hannover (Germany) ScHAEFER, H., Braunschweig (Germany) ScHÄFER, M., Göttingen (Germany) ScHALIPP, K., Darmstadt (Germany) ScHATTENMANN, W., München (Germany) ScHERBERG, M. G., Dayton, Ohio (U. S. A.) ScHERM, V., OttobrunnfMünchen (Germany) BemEHLEN, W., Stuttgart (Germany) ScmELE, 0., NeustadtfWeinstr. (Germany) ScmFFELGEN, H., München (Germany) ScmFFNER, K., MülheimfRuhr (Germany) ScHILz, W., Göttingen (Germany) ScHIRMER, G. F., Darmstadt (Germany) ScHLICHTING, H., Braunschweig (Germany) ScHMIDT, B., Darmstadt (Germany) ScHMIDT, B., Karlsruhe (Germany) SCHMIDT, D., Göttingen (Germany) ScHMIDT, W., Ottobrunn/München (Germany) ScHMIEDER, L., Oberpfaffenhafen (Germany) ScHNEIDER, A., München (Germany) ScHNEIDER, W., Aachen (Germany) ScHNELL, W., Darmstadt (Germany) ScHÖNAUER, W., Karlsruhe (Germany) ScHoLz, N., München (Germany) ScHORR, B., DudweilerfSaar (Germany) ScHRAMM, K.-H., Frankfurt a. M. (Germany) ScHREIBER, H. H., Schweinfurt (Germany) ScHROEDER, F. H., Hannover (Germany) ScHROEDER, K., Berlin (Germany) ScHUBERT, B. v., Darmstadt (Germany) ScHUBERT, H., Halle/Saale (Germany) SCHULTZ-GRUNOW, F., Aachen (Germany) ScHULTZE, W., Ottobrunn/München (Germany) ScHULZ-JANDER, B., Freiburg i. Br. (Germany) SCHUMANN, W., Zürich (Switzerland) ScHWARZENBERGER, R., Aachen (Germany) ScHWARZL, F. R., Delft (Netherlands) ScHWEITZER, G., Stuttgart (Germany) ScHWIDERSKI, E. W., Dahlgren, Va. (U. S. A.) ScHWIEGER, H., MülheimfRuhr (Germany) SEDOV, L. 1., Moscow (U. S. S. R.) SEGEL, L. A., Newton, Mass. (U. S. A.) SEITZ, H., Hannover (Germany) SENGBUSCH, K. v., München (Germany) SETH, B. R., Kharagpur (lndia) SETHNA, P. R., Minneapolis, Minn. (U. S. A.) SEYFERTH, C., Karlsruhe (Germany) SHARFUDDIN, S. M., London (U. K.) SHARPLES, A., Manchester (U. K.) SHERCLIFF, J. A., Coventry (U. K.) SIMBO, E. J., Swathling, Hemps. (U. K.) SINBEL, M. A., Cairo (U. A. R.) SIRIEIX, M., Chatillon-sous-Bagneux, Seine (France) SIRIEYS, P. M., Grenoble, Isere (France) SILBAR, A., Wien (Austria)

SMIRNOV, A. F., Moscow (U. S. S. R.) SMITH, A. M. 0., San Marino, Cal. (U. S. A.) SMITH, D., Manchester (U. K.) SoBRERO, L., Trieste (Italy) SoCKEL, H., Wien (Austria) SONNTAG, R., München (Germany) SoPWITH, D. G., Glasgow (U. K.) SoRG, H., Stuttgart (Germany) SoRGER, P., Freiburg i. Br. (Germany) SoUBBARAMAYER, Gif-sur-Yvette, Seine-et-Oise

(France) SouKHANOV, I.M., Kensington, Md. (U. S. A.) SOUNDRANAYAGAM, S., Edinburgh (U. K.) SPEIER, H., Mülheim/Ruhr (Germany) SPENCE, H. R., Redondo Beach, Cal. (U. S. A.) SPENCER, A. J. M., Nottingham (U. K.) SPIEGEL, E. VAN, Delft (Netherlands) SPIERIG, S., Hannover (Germany) SPREUER, H., Freiburg i. Br. (Germany) STALLYBRASS, M. P., Glasgow (U. K.) STAMMERS, C. W., Bexley, Kent (U. K.) STARK, V. J. E., Linköping (Sweden) STAUDINGER, H., Ottobrunn/München (Germany) STEENTOFT, 0., London (U. K.) STEFANIAK, H., Freising (Germany) STEIN, E., Stuttgart (Germany) STEINER, H., München (Germany) STEKETEE, J. A., Delft (Netherlands) STENIJ, S. E., Helsinki (Finland) STICKFORTH, J., Essen (Germany) STIEGLER, K., München (Germany) STIKLORUS, L., Ottobrunn/München (Germany) STOCKER, P. M., Macclesfield (U. K.) STRCHELETZKY, M., Friedrichshafen (Germany) STUART, J. T., Teddington, Middlesex (U. K.) STÜCKLER, B., Ottobrunn/München (Germany) SuBRAMIAN, N. R., Bangalore (lndia) SuN, E. Y.-CH., Aachen (Germany) SwiDA, W., Karlsruhe (Germany) SzABLEWSKI, W., Berlin (Germany) SzABO, I., Berlin (Germany) SZANIAWSKI, A., Warszawa (Poland) SzAsz, G., Zürich (Switzerland)

TABAKOFF, W., Cincinnati, Ohio (U. S. A.) TAILLAND, A., Lyon (France) TANI, 1., Tokyo (Japan) TANNER, M., Göttingen (Germany) TAUB, J., Delft (Netherlands) TAYLOR, A. B., Oxford (U. K.) TAYLOR, G. 1., Cambridge (U. K.) TEARE, J. D., Everett, Mass. (U. S. A.) TELLKAMP, T., Clausthal-Zellerfeld (Germany) TEMPLE, G., Oxford (U. K.) TENNEKES, H., Delft (Netherlands) TEUBL, E., München (Germany) THAMM, F., Budapest (Hungary) THEIN, V. v., Ottobrunn/München (Germany) THEOCARIS, P. S., Athens (Greece) THEODORIDES, P. J., Silver Spring, Md. (U. S. A.) TmELEMANN, W., Braunschweig (Germany) THOMPSON, J. H. C., Oxford (U. K.) THORNIDLL, C. K., Orpington, Kent (U. K.) THORPE, S. A., Cambridge (U. K.) TIDY, G. H., Sillery, Quebec (Canada)

XXVIII List of Partioipants

TmosHENKO, S. P., Stanford, Cal. (U. S. A.) TJ0TTA, S., Bergen (Norway) Tö:PFER, H.-J., Berlin (Germany) ToLLMIEN, W., Göttingen (Germany) TooMRE, J., Cambridge (U. K.) ToU:PIN, R. A., Yorktown Heights, N. Y. (U. S. A.) ToWNSEND, A. A., Cambridge (U. K.) TRAENKLE, C. A., München (Germany) TRAUGOTT, S. C., Baltimore, Md. (U. S. A.) TRICOMI, F., Torino (Italy) TRITTON, D. J., Newcastle-upon-Tyne (U. K.) TROMBETTA, A., Monte Carlo (Monaco) TROSTEL, R., Berlin (Germany) TRUCHTESIA, C., London (U. K.) TRUCKENBRODT, E., München (Germany) TRUE, H., Cambridge, Mass. (U. S. A.) TRUESDELL, C., Baltimore, Md. (U. S. A.) TSCHAUNER, J., München (Germany) TsENLIFANG, M., Poitiers, Vienne (France) TsunA, K., Tokyo (Japan) TucK, E. 0., Washington, D. C. (U. S. A.) TULIN, M. P., Laurel, Md. (U. S. A.) TURTON, R. K., Loughborough, Leicesters. (U. K.)

UEMURA, M., Tokyo (Japan) ÜNSAC, 0., Istanbul (Turkey) UHRIG, R., München (Germany) UzsoY, S. Z., London (U. K.)

V ALENTIN, G., Wien (Austria) VALID, R., Ch&tillon-sous-Bagneux, Seine (France) VEKUA, I. N., Tbilisi (U. S. S. R.) VELTE, W., Freiburg i. Br. (Germany) VERESCHTSCHETIN, W. 8., Moscow (U. S. S. R.) VERNET, J.-F., Fontenay-aux-Roses, Seine (France) VrsSER, W., Delft (Netherlands) VöTTER, M., München (Germany) VoiNEA, R., Bucure~ti (Rumania) VooREN, J. VAN DEN, N. 0. Polder (Netherlands) VRADSALI, I., Haifa (Israel) VRECKO, M., Pancevo (Yugoslavia)

WAECHTER, R. T., Cambridge (U. K.) WÄCHTER, W., Ottobrunn/München (Germany) WAGNER, H., Gainsville, Fla. (U. S. A.) WAGNER, S., München (Germany) WALKER, A. C., Glasgow (U. K.) WALKER, M. S., Sheffield (U. K.) WALLER, H., Hannover (Germany) WARBURTON, G. G., Nottingham (U. K.) WARREN, C. H. E., Farnborough, Hants. (U. K.) WASLEY, R. J., Livermore, Cal. (U. S. A.) WATSON, D. R., Cambridge (U. K.) WATTS, A. M., München (Germany) WAY, S., Santa Barbara, Cal. (U. S. A.) WEBER, H., Berlin (Germany)

WEBER, W., Frankfurt a. M. (Germany) WEDLICH, T., Darmstadt (Germany) WEGENER, P. P., New Haven, Conn. (U. S. A.) WEGNER, U., Heidelberg (Germany) WEHAUSEN, J. V., Berkeley, Cal. (U. S. A.) WEHRLI, C., Zürich (Switzerland) WEHRMANN, 0. H., Seattle, Wash. (U. S. A.) WEIDENHAMMER, F., Karlsruhe (Germany) WEINBLUM, G., Harnburg (Germany) WEINERT, G., München (Germany) WEINITSCHKE, H. J., Harnburg (Germany) WEIS, H., OttobrunnJMünchen (Germany) WESKE, J. R., College Park, Md. (U. S. A.) WESTER-EBBINGHAUS, K., München (Germany) WETZELL, 0., Hannover (Germany) WIEGHARDT, K., Harnburg (Germany) WIGLEY, C., London (U. K.) WIJNGAARDEN, L. VAN, Wageningen (Netherlands) WILLE, R., Berlin (Germany) WILLIAMS, CH. J. H., Solihull (U. K.) WILLIAMS, I. G., London (U. K.) WILLIAMS, P. G., Teddington, Middlesex (U. K.) WrLLIS, D. R., Berkeley, Cal. (U. S. A.) WILLS, J. A. B., Teddington, Middlesex (U. K.) WrLSON, R. W., Derby (U. K.) WIMMER, A., München (Germany) WrTTMEYER, H., Linköping (Sweden) WÖRNER, H., Stuttgart (Germany) WoERNLE, H. T., Darmstadt (Germany) WoHLHART, K., Graz (Austria) WoLF, R., München (Germany) WoLFF, G., Düsseldorf (Germany) WooLACOTT, R. G., Glasgow (U. K.) WoRTBERG, G., Ottobrunn/München (Germany) WoRTMANN, F. X., Stuttgart (Germany) Wu, T. Y., Pasadena, Cal. (U. S. A.) WURZBACH, R., Düsseldorf (Germany) WuTTKE, K. E., Berlin (Germany)

YAMANTÜRK, S., Istanbul (Turkey) YASUOKA, T., Osaka (Japan) YFF, J., Amsterdam (Netherlands)

ZAAT, J. A., Amsterdam (Netherlands) ZAGUSTIN, E., Caracas (Venezuela) ZAJAC, E. E., Murray Hill, N. J. (U. S. A.) ZANDBERGEN, P. J., Amsterdam (Netherlands) ZELLER, H., Aachen (Germany) ZEMAN, J., Wien (Austria) ZrEGLER, H., Rüschlikon (Switzerland) ZIEGLER, S., Wien (Austria) ZIMMERMANN, B., Clausthal-Zellerfeld (Germany) ZITRON, N., Lafayette, Ind. (U. S. A.) ZoLLER, K., Stuttgart (Germany) ZoLTANI, C. K., Zürich (Switzerland) ZoRSKI, H., Warszawa (Poland) ZYCZKOWSKI, M., Krakow (Poland)