aero engineering thermodynamics 9

47
!qr fr,ll 93/ N F* 4 o2{ v' F1 e N FJ i m ^A \JJ f--J 0a e) F-l E 4 d A lr l-t a v E ffi' Hi FFII HH F* @ e -ll M H4 HJ z @l e kJi o M, l+i. HJI 4 s <ffi <6F # * <fi. 4. 4F # <ffi # <ffi .dF. 6 1#'{F # * # +'a.qF # 6 €f * +'# <#- € € <ss r*h l*ir ::m' )Lu' "t* t*5 '; .- f,) :l G {F G G G G G a. 11. 1p G G G G {F <F G t G G * * €- ff <R'1ffiF 4'K'q' <'qTt" 4i'F.ffi # <# ,fs * * * <# <# <# * + + <t * * * # # * <# 6 <# 4.{.- 4i: <.:f F.- .4/- e * <s- <+ €rq d- & 4g- # 4.# 4ss €,. #. k .g 3 :: .!.{$E :9 ;iilgi. '. ")- J :i 4.J:r -f ".: r! - "J E:- El'i. r! \J a. t1 &,4br rr- ::., .: c :: a!!sJ-:i :rtr.'rtaj v. fi2 tr] f i: i- r : :. -l :*l :ltrEtr!1 5:?.: t-.-|,,o$:!: ZEkrFgc'cN: qkljdi--r:^j flo .) ^ !J + d i : :-- !-\,7?C1 :)!i. EF:TOJ FlEazr'l@=<r>. r,llJAr-ii\ s'7.H::j X;-i- H HE -! X r-i Gl -c r- L.r a 4, .! :- "nlc: alL -pc- F..{;ar COC\tnir \IL: r=iEq5:; q-o:: 1 !- ;* I F c = t- e t! a 5 l- (/) (9 a q ltt r! e (, e t{ rl q (j l- 5 a o CC l{ l{ t- l{ E t{ o = t- o \ Fn Fn @ ofi rJl E a )) g') ag ZF- {h AFJ F+ !dx -l ln J r{ i* lm t*

Upload: bibin-chidambaranathan

Post on 12-Jan-2016

235 views

Category:

Documents


0 download

DESCRIPTION

AERO ENGINEERING THERMODYNAMICS UNIVERSITY SOLVED QUESTION PAPER AND ANSWERS

TRANSCRIPT

Page 1: Aero Engineering Thermodynamics 9

!qrfr,ll93/

NF*4o2{v'

F1eN

FJ

i

m^A\JJ

f--J

0ae)F-lE4dAlrl-tavEffi'HiFFIIHHF*

@e-llMH4HJz@lekJi

oM,l+i.

HJI

4

s<ffi <6F # * <fi. 4. 4F # <ffi # <ffi .dF. 6 1#'{F # * # +'a.qF # 6 €f * +'# <#- € € <ss

r*h l*ir ::m' )Lu' "t* t*5

'; .- f,) :l

G {F G G G G G a. 11. 1p G G G G {F <F G t G G * * €- ff <R'1ffiF 4'K'q' <'qTt" 4i'F.ffi

#<# ,fs***<#<#<#

*++<t***##*<#

6<#

4.{.-

4i:<.:f

F.-

.4/-

e*<s-

<+€rq

d-&4g-

#4.#

4ss

€,.#.

k.g

3::

.!.{$E:9;iilgi.'. ")- J :i4.J:r-f ".:

r! -

"J E:-El'i.r! \J a. t1

&,4brrr- ::., .: c ::

a!!sJ-:i:rtr.'rtajv. fi2 tr] f i: i- r : :.-l :*l:ltrEtr!1 5:?.:t-.-|,,o$:!:ZEkrFgc'cN:qkljdi--r:^jflo.)

^ !J + d i : :--

!-\,7?C1 :)!i.EF:TOJ

FlEazr'l@=<r>.r,llJAr-ii\s'7.H::jX;-i-H HE -!X r-i Gl -c r-L.r a 4, .! :-

"nlc:alL-pc-F..{;arCOC\tnir\IL:r=iEq5:;q-o::

1!-

;*IF

c=

t-et!a5l-(/)(9aqlttr!e(,et{rlq(jl-5aoCCl{

l{t-l{

Et{

o=t-o\

FnFn@ofirJl

Ea)) g')

agZF-{hAFJF+!dx-lln

Jr{

i*lm

t*

Page 2: Aero Engineering Thermodynamics 9

c'lFi

l!

:!

l'"

iJ -i-. '*:

a\'; :"

pi-c"a,,:4?€"Psn

-a-t'

=:'.: *

-a:t-

(:olC5"c

'tt-;= t u.2\:t ) n

., -: r-l

Y-n ir-\-1:) i = =

a-

-::-::1

'CrC-:4!--!ui-

- !; c")\-j fn f) F

>.,aa/aAA"';i.cXO

"z;M O ,1

.F

x!r, o ! ttLOd!9 .1 --'a?,1_a

!t-, -. .*3 !;. I .:

a_

a

^,6

oiioM

.EO

a

Lo,.ao

-c!a'ac

.C

!-

------.=

=:t :..7Y::-a--'J_,

+-":iaic'>i^o,: od c o4 a. u .;o4dLOd,Ots:

d!!_)+vHL-; st n* !LaLa.;o1-o.s U* PKE:j--? ddQT'6 ^ o

* - aP L!oaq;4 d : .u E/[email protected]:\-

o#" > i ': .:3 &Fpri 5 rh .1",36G i, E: ti*!, 6'oY!!i:{@h0.! c"6t! I e.4*da@Eil 5H ;".H.sp t Idv;+^o :\t-L-tlrMfl b+.8 * E q ,r€ .Sd;ljd o E

E K O-YZ\@aaJtr9*!a ^:< i H 35 '. ''

d

OJ

cd'aA

Q>:Eo

^teuc)ci.d

:({o

ii.qlEoho.:cl

u0.;H

<10oNr1i

:54

>=

UaJ

Pi€d0)o.(i4!

.t6!HN6

,9b

Hq

6+jo@tsCHo@-ooI .:?O. ic-d

do

a9'oq

oa

.c

Nc.q.

cd

rd

6

@ookooo@okF

o€oh0

bDI

!

o

H

o

cd

at<

n+ia

o

o

d

c!o

dd

oo

cd

aaO

-

=^:

QYoJ

CJ!Ola>QOU!d0iioo;_do;p+oQdoo

icx

h:0>(!0trdoY oCO*

o '- tro90

<"t#

G^o@ d 5@, -il ..if

A@"O r /\

-' =7

tr r: ,

o:^A

=tJO: o.x-oo !!

- rJ!

aU!I .:

+= =ccY>.e-

>r-c

+-^:

; - t.i-^,-

mt

;-xa:i.-f

^_d

:J-

> r .l

c-

CF:

FH.=.E,Emt

.g+"9qd!o

6oo>raoc\

hod

!

O

ho

6

(d

Hoakadqoqo

h

5

t

c)

a

E

b0

riod

ac

oJ

a!

@ll

(oix

I

u

a

:i

>1

'- 1 J-

q!>

D;>

->qdN

d,Jad- .: o=6"rnrd>;o

, € EH

fl'vxH-.!

VJ

P@4.$ox?nr-f

'dl

:i1

r,vftJ ^ 's:---'t dL)o t3: .'; i's go t 'J!U+)-Eg^ : ^-(d9- 5c at I '.d--n,a'- c d v * a-r -.r.! a, il'ded d .q

\ 'd; d x 0dL^uail-

I6io q ,i a-q: Iq\Hohara

- A,a { bo -- '{" F:# P t -e-i.Uo<oGX!,E e ni ? E r.")6F H:t E i "i>,-. b!* ! J .--O:o i p qi !*o-gaalJ*Vit E ei b.tlq\*;q]-o o o "q ,t .S;,^do+)q(u![ia!ddoKj8..;b 3:'6pt\ il i? ! ci !qldrur+O;-fl; +g i! \, 4p; E + ! * a"icn"gE * 3 9,ob20rioao0:o'".Co,J>.91.9r.4 o c, ro''-aP-d.cl;6!:.^i.r$!I:JL,v

iAYn.x.r1!-Uv

?

o

O

ooao

O

o

od

!o

o

€a,; pad

Xtro;

d .H

u9LO

:.4

o

Fo0)

'q)

,oaoO

o

E

d!o

hD

!b!'a

!.Eqa!

aoooa

do

@o

'60

oo

IvF

cd

oB

o

oI

b0

d!or\o

"aq

-J

xtrl

p

m

Page 3: Aero Engineering Thermodynamics 9

wr(./ I:SI

e-c:CO(-

),e

p\)C-a

c

-f

t

Ui

c?Jo

o1"1

q.

-1*

.il

n

v

a

V.

)

d

Y

r-Q={

,l

a-A\

..1

cee(-loql!

(C

c

eoJ

:q

3n

t'

cOs.oJ

c?

,J

-.I3

.)n\a*

n^

,d

*{.Ycqt

roy't-.;il\)l$lt14 ll-4 li\,, ll

eillt.,li

-, \ il

b )lllt

F) a\r

dFJ=)

^t^(J

"d\)i.lcJ.F-$

G

n-pt, <L- +-ios5a_X.^O\a\

Q db-e-E

C 'n-s_ \-YN\*c-

U

!o5 :v.c

D

r(t.11

bS

-L(\,+*

-*.-

3Yolola_l

^Bi*lI

dl>1..j

1cleJl

-_t? IclT)J

-S-cw

d3 d2l--v) -b-c

c,C.,C\.C

't{

lll q-FNJ(t LfEo:oa

< !.tca<EE.,: tt

-d)4.5 ozo-miE(!caE

{t-'u,l-/ <

Page 4: Aero Engineering Thermodynamics 9

-\-i\J -

(-)

-t- rV

t-r

r -i-

-?(

; C!,

^C{_ :-

1-

e.c)'l

-*l-sl'\]LI\lG,

(-r(!

Q

1

,C

-1-.

Cc

aU

:-aOl

c>

(,

I

\c*P.L

^l -

L?.r.4,

c'\ ilF

t" -Lt-

.t;I* \

JC

xn 'b-

cr\

:, d'eo

'\-

--)v(-/

oa-{d

oS

o

<)oFt)

)

-z-

\,t

\_oYiis!wF\C;

LL

ci-c4._ oS

)=i'.{ !9rot!\(

(

qJ

{o

Ccv

{q)

5

\)4-c-t-Y

-d

,C

.b; \-.r

ji ci,r(-v+

.l

.L!_c

Tcc

{Sv!_r*-t-\

tcx

-J5J

tQ1

4;aDJC

Cn

\.)

q!_

O

qJ

_cI5.c\)1_

c-to'C

e-

..\C-.

ob-cv

4ai

4dCI_

tLa{Jvt

-,c

OA-/

ec(a./r

td

Nvl

+cit4

9G

rg

1(!/'

q€et

,C

f

,c'l--

?-t--

rC

Ci((

n'3

.\.(\l.^.

U<JC

': ^1! (\

L

^dlj-a

'J

=aN. ICP)

/') q./

s

ec./1

\L

ct a,v

aJ

\-.U

-{-+Lvl-

hl.{_t-!iay'l.<.

---.rlI

-. I

l

Ni-t.-ii4

lo^le/l\, Ia)\tI

^). I\-{

I! j a

.

- {-!

.1 !X, -F+'c

Coq\,

et

94c .c

U

L<- tTli:-l',-l,,.12

-s*a

.ai-v^t:la..\

Gt.\^

a v)

-\:C

-\t-\r+_.:+c.

a-c{-{.S

rti(/lr-lEIc/l2tiJl

Icr

dA-9t'- r..oi-'+- !'\o\{\A

-s c,ca/C+-l*

os

:q.w-(-d

rr€r!\$\^-(+-

,\, c{-J,J

>l--S ct.)Jd-j (bJ.+-Ja_c- -tq,L

c

\rl

Page 5: Aero Engineering Thermodynamics 9

Lf*+

o

-!

{J--)-il\k

>t:.t;c_\Lo

t<A-f'

/'or

t.Fo'

Jv-ai'a

Iv

iiil

:

:

I

i

,l

,Js3o1'

dvpb*L ^t -^v^. < l-i\ ul1

LI

Fc.

qCqO

aFo3

qc\\

il

q-lnN,

g.'

ei/5

(t]

AJ

t-

a\-ZJ

QI-ai9-l-{-

l!lqi

,erl2eII-+- |cts, l\<ia

L

q

=.C

rStv-

xtv-v*E€S

5r.P

= -\ co:!-q.,YSF+-\Yqj{ F,i}<t: e€ .-triLc i-i $

t-I

lc!\r_ c!!Q, .e,

\4

e ai. \:lC vl{- Qiqi

t.F

{coq,

Ee{a

-S...-itta- FeN{- {.ci^a3a)4aR8

'{n\NP\)-5\,s.r q\r[

id\ciIc-1\ a\o"

-q\5€_e_\ -,J

ls/\J\rY cr)f-jd:

{s)d0

rr )o\t_

I

\_\

I

:

\_

ocql! U

UI"tF\-/

(l

ric\lA'-l ^

q

i*t- .at

^u\

ar!

-t -':

(.'^!.1\-!

*..\.v

E.,^ t__

Ca^o>La

I '! t

<)-t--? (rJ

-3Q'-glA.v\JF|'. \-4

'l 'r*l [\"0ls n"ttv +-

<lQr

*l'3

ea-)A-)v)

l_l!

'(, lLt'

L \F T\f!!ts

E

rr)

J{>/I- ^l^F\\r.-dnsv

h-p€rl 1\eJ!!opAi{ e

L_ I

-(-.\,c-\

-r.

v-\aU(a/

C

_/,

h-a

+._

q,

!

-eL

qG,A

,ugts9\J r-/' aJ

P

-C\fl.-

.?!

CScta,\a^Y:doYSo"ev\}r?\

nvv^r\\-\yv

t(

!LLJOU^l

1N,VqYit,4,'0F\_cr'J\a,

^Jv1 {*Y*(\-fJc\{--!

!(-l.uHc--\,G_t/*Y

"(b:i.!v

A 'C\-

cb ^ 'r--- v^

!.t-90 +2J^v! A:- .+ rtrtFac

CcCa.cLe9ps++

et .\ja-&

,O;O(- _;asC-\!

Lr-'F(- c-,E,=n,\-(v

Uv*/Ea"(\.v\,-)

vaJ:<so \-cr'\vn-J'\vF .b.-<)u

c-Q-C* q) atc"^-?(-\lJ=Urz1\./La--\

c

onUv

\ l

+

-sN

c,*.

\

Page 6: Aero Engineering Thermodynamics 9

j

,-'-'-)- '; )^) JOU 1 flzn"tlz(

'w dt q c-d Lo,bou ( 6 u tt dtolo g

r>+FAs uo-}J pJ.tLqr4 Pal\2;nd c'tlo? ?x0hl

g6J-,! q ]f 6) n)ADUaldl Otr'-l

' Ee-o ,"? ^duo') 6 r'>+'lt'

q-) I (,1 r'zTYv(i Ns-) (/r) t O*lt"::,

vdog 'dt4l' )'v ?z(8 o,) ab:1:1

z 6 v'roqt slT2 q6"t 4 Fratt ::"':::;

_lo -alu c-toT ."/ v)6)'o1'n)? q r i

' noT q p-avi;

' P > 1 o>qr)cuq 4 uc.4L-'lJ:'r,' l-P>v'atc/ OJo-2 6 u p.t o-i as-<).rc]

7i<1,r'11 Oc)

6la rt,r1'u -6; 11,i i'q' "f! n) t'va

"u-tdlqaLd 6ct ,rtt)t)ltJg oU y fiautr,

pa<m 1 rua1>R5 ucr-iul$9q7 "\dtu'Lj

'ttet '4 +f OJ a)U rJU Vl0.tPL4

' ,'t O f y a:'dcu'c) 5 ' 't 1 's '>

a^-d *I-l 'r)

-!'

W ICY? P n{Dclrtlo) JY) z 6 wql {v P

-auJotr vLl+ a'i ls ul nuNS

,-t^r.)-)rra-xcl I Et'tsqrt,)P olGJ Ir] mo]*

/ 3 )i rrl- z,rol xo!" z1c1o1rrtg { +L

'q6"U 41:ra<'l<]

oa?1)n\soo) tl.1 tpaSts rtaxl 0Jo) r-r:ul ad

toc4o

L

?

C,

'a

Y

'l

n tvJJ

xofvatdwa-l 6u,Uo)ot-(J.y-v-Jy pJo )4:r:7ar;. , €-tE:;3 _,r-:-7.^.-.-3.-; :-i.t-;1.?I!.'f b

,.*.'*d

l

i

ll

I

1itllliiilil

\.-'''^i-4.:':a::jj>"ilr:1

t, 'C '.'S a . cr - : -t s.. F -J { . i Jr-yJ\!c";v:'\c ? c;: \-+ ra

-Y .L e. a .. -c

-O,El *i $ v i c + i{l Q- I 6 \ \ u '.Cl % '+ i .c) q){l o g ol a : i s< v !;l og 6 c : s =^ a il,;'l : q ! ) ! ; I ;Fl Pa$g! d!:.s rqt\^-_l j t l- .i- t

lxuo'so:crn:bcl u- J + + -s- : :.lc,o.a/\,cY<'-l .' d -: '; I a ; ool v $ 5 : J +' 5 6

-\ ! * P ; i : \ x f Ett\ € o + i t v k ,o'Jl b-' q a < -F f*

-ol s d ='. d 0

-'l I5 -,-*EzJl "P{ tXrai

(-/

<!o

_il

,!\Ja_C5

t\l

s/!nl\\Y!>t{12 -t-F\!a_ -c. L

-Ct,:C.u>-t.FAL

noLJFG\l)-o!_-Lj-fif L

cr:,'8 E I,E I{ F 3< I

S 3 c* i\)a$i

N, o, s 4 li

s.\ S : i 3 i : , ::il f n : t i -a ..l 3

iIl t \; , i r,61 3 c -s i \' ,, i:

loS.-t-cc\lut 4: ! r-, F i ,i li'\-l T) ? :)t S s F { ti

$l6l Lr R& ll

\0 s-lr

Page 7: Aero Engineering Thermodynamics 9

!

{

o'J

i-r

F!9

''\ qJ

^AoSJ

\)t'ao

or stl-jC\9:ts :: \,--\d$:c-oLt, cfiuJ'-s, i >-o,,tu\'-\\-.xur cJ

.-Lqr\':-I- t\ ,:

^l,cc-:v

-=CQx(!

-S ]l {: E--rQi-!-,L.G,$

E T:q-TSr i Z : c; -nl . t I Y ;-C<ftu n\5

c:_rJ

"'lII

tr-ls'r{q]s),F-l-q

-

-\i

CIcci\*lciol{I

-+- |al

ass

-t\-Uco

\)

AJrIF

cr

OA

dl4!ii}qrjirlalfl friu !*rd+d*srrMNh! 4*@$,r$,\i*o,,".,,,,"j-.=eas

r.O

-1-(,l)/(o

-ls1

tq\v

ti c)(J

.)J)-t-

cts

\tsc_

c3O -b.-

cQ--]-. {- .r bXS+-\-/O':;r-t\tr

Cc-oF-(- F i"F : ts\:tu\LoOvC-={1vJ

!CJ^c) !;: C;v q.c':: i 6t'v'a:-

:P"'^\-a\,-(.cx<-\e_.LL:=\

tt\.-vc'i"-t4'\5 dg ', ) I r-

u\_Ue,p\: ^3 s,: LeO'il.-srq- et \, cl .L -:\-1 u '1- i <lA '-/I":9"1 hv',rU^Nd'-\F i t 6; :

\/-c!'FeJ1ir!+/.:1w.lV

c\.ah.€\)Fe_to

qe).4_t1

J*

3E

caa\)

t-)g

*trCc)

-6<r

O

a/c.u U

N)b

Page 8: Aero Engineering Thermodynamics 9

i,

$lr-\.'u

"r -{ts'\

.-Jaa-\ Ol9 r'{t +F

arvt2F$

-- \-)\ -+- 'rd- td.*.6-cy=l bts\, '-?

^J.}.OcFoeJ cJ ql.cssl"'f- +-

Jnaq))1sq\J\)-C+ 4-L.< -P

*OT-t<jt-) c- e,Cr 9-\{*e-'q,

.\11 L-

-g-a

rrYF

.i

--i-L

q)

C'Sot

'i'\ ,\I \ - t-..J*

-J\rlC-L1:\\Lvl;.-'o E ;hL /:"{ d \

3x;:\l\r*r[\'t\'vrOg":: f'\ a- ,i-$i pF S5L-:a)J .l_u(-; L P C qnF"-9aFcnqs I qd

'o(-\-g'c'(\-s "> 'o sYl q- +- c vIl * a.1 c * C- T-..'s I Tt ar \) tXl S);l \ \ s- - s \LI R+

nn{1o-1i-)

dTrlo

(J

I3-cc-J

14

c{\

I

I

I

I-. --*@f;F,*€.ffik$$)M$4#iAt#ilRrrit:fd$:1"*Sj*tr:fv!Ef r.:.- r - -!. :.r1+l#

Page 9: Aero Engineering Thermodynamics 9

\_

,-ocCIL\{,Jl^\vU\-

,vcr

,,1 J

CI6O

JI

<, Jo.n-L\i

F. ^l\\J v l\yu2:anc:^\Ll(- ! \CCCr,F(Yv1',...!J vU-.\ s'

ai l . d CLla> - C ^-FI L !il 'r o L*l fr t c Ll.l-I ' vo\ : cAi * - o( :*l

a

:

:

C

l!

o

\J'(

t

L\(

t0

\':

C

C

T-F:Fl\)

a--

--C,^\

c^a.i*O-C (.r

-cAJ.t\

.C-o-\!

L':1--+-

!a-

+v:

(,--

'.J{its,l

NYL

aj^lu) \ !ts^x$C<-cl-a,aUC\)\)C\9 S\,-\ *\ \_,\'cE/^)te\\

J{l-!-\)b'>\-*.J\v

-l--r-i\- \

(.\v)\tG c'l 's

o+,4H

\e

ja?O

qeI

.L

tF

t

L

a.

-oAJ

afJq4

t\'-r -c(c-

('

c{?.J

t-1J

!

.{.,)

\)

:Joa\J('.

Il.s

sJ

"t'

o-c\)

Js _\)

(),)^\o.l(.\ N

"l*J

!

n

(_

c

oo\

O\l)<-

^)FJ-t--

nCLL-)

Cd

o9'J L_..?

+og!

s)!-eu

.s)\Gat

lJ e,q)s\J 'i-Vl\r(^

\J

\-5O l*,)b" xrO 'l.Jua-rccsoe,r* c_

o

c,

{.

a

:((dc,!

IrU(J

(.

^iL\

cy cvCJ,s

L-l_ us

--U{=

a,n

g-c-((-

c\-o

bUq

,s(^

U_

t_\

'-

vP

b-)c' >-, l\

tq,\+-:+-1^\UoR 5 hFi.cd"PXc

d b -r.. y4 _c-jc-cSJq o-l a -\ \-F':-' d c -Xqst.qs)rE\JXCiq)dc]'--ca_f .t I b-.r 3,te ! {.! iq/:diu ;abuislJ^c\!-I ,a 's-\ : :J\J^(.s +- \- \- (-Y*l-(vU^>.'a:\:: €, c,3 - t;"-\(-3 i: ) \ Y \JC.r-(-O\v.:6SLL F c- \ -t- C

Cq)-L J

N\.) nq,

t-',

=\a\).?t

cU.)t

S:-!(

-/

!

c

(-

Ci

,-

a,

a<

llq"

\t

N-t_

Je

r-Je,s! ^\l\y+rps

\r-qN

cl\)s

Jl*1 Jq,

a\ t-X\0J -L-

\C\)o\ \\)uqA\Le{'.5 "tJ

-l- .J'+- 6;-, \J -^

Nto1(<h

Page 10: Aero Engineering Thermodynamics 9

( -:_

aa:>-*r\i*

_L :l

\,q

IJ

a_

\.C

\l

Eo

v

FaYi

\Ic_

ta!)

q.cS

!

:,c

:i,Y--\_ +r

l! "t-q;aJo9.')L(J.l-nYJ) Iv !J

i*\

-\ J )oalub-](f,\ui..in\)n\!

a\v\leJh

) L )-iJ bq >dJ*oaJq=Xc\Ji^-,JwqO

-r- ^) CC.J;OS -.-- , GI

q+'':ciSo!'56'h'c':

+wa\O'i--f qg i\e, ilT-) qJv-*.adotr)i oo c

\ii^Uu.^\c-JL

P

-ll\J -lf-c

c:cq--1

.\ >JUa-

nca

n,C

6sll3djr'llxlMrffi@wreMi$MetrqMeEgqtuI sF c,+;&1*-edws!1l3@

l(\e+*e: \4-oql

\Lro

(.rLc.L>

{J

= Qv

cCJ

U

c,c\U

wt\lcel"-)ulal,CJI r' I

l'clolc€-

Page 11: Aero Engineering Thermodynamics 9

s.o:f:t: c. ;'-Q i B X >ic{.U.Yq4en*wlo.r,rr>Scdoc: : =t I i -l e € {3c, :r srsSs! E: € v qe €-.4\'/ 3S t' : ; F -g s

iaC{Ndt! ) e S o N SS Su i iF ;t$iu;:silS :i:$. 3icp'-;:/J:iS-Ecve3 .-a$it\4-a-3ii.c-':'S\FSr-'r: avlt.u-FS': += 11: L c \ J c c \

A, A J'sd$Ede#3iEEl-.., r : xa brJ s ts I 3 ii aJ p! sEgsSC q n*t,cq

-Uaq)a

ocC

':R

g.,

(,ccgclco

A-

c)O)&

o

q)c

d5JJo-t\

ao\J>isa]G{

aie

{cqJ

o

a)

NA1

Page 12: Aero Engineering Thermodynamics 9

?J

:ii

vY-i

r"t

!

+:

- \) ii --\, {rficFv/\i' dtML1 -

'' \r-l, '

l

Itr ,1JAJf

\_) I"olci{j

"1I

t-l

3314

c.\ ^Gv'

Eo*

-l.t

-.

\cao*-;;{c\{ay\\\TC\\v1e,:' <F '. +- e"v<{<J\

aroc-q/'wt-{'\J)\a q'rt?

vX) u U A.t.% J -c Jt/ \r_^o{'vld!

oracY'J+-+U

v-../\

n-\ Y \'vj eij ? cioy!i'.<aN

qvc'r-r\io-rcr -/ r-' qa_w:+\pitr,X-J!+L\Jl-C5a_\1a+d :gca\j'\s-'\- \ C. c-.i s "Y':o ot-

i s ^:td-3 tr .t trS+SF-c\.Q'\S E-e: g\J €-X o ,*, 1 *r \)

o ri; : a s d

t€+q-rJ3\S*:oftrdbe-t o(o-\-ud

;t3: e 3ta-i3X&qlrT!-'le'rCE:n

d S d-$ 1 a qv J e' J i{: 3 v "{t , od p : *t; I %

+a^OU:J X lt p i r jot;:a-q=,L-'\'XSYf y ts s 3 S:- l),,

dn^rhSrir Ear.xO"Oauq) 'r q\ Jr rd-n \r n , :

^^vc:!:s&I aYt \

t.d i'Q: s';% 3 J; j:'L*-..-09d ." 3F ilYLX F/', ^l

-L \j

d -[ t s] ]fr-. \ -J .' C)\ ? J' \--:tNl$sis: Ui!\-nv!--F{O\avJy

YYq+r\AoE3_Bssq

c\ -t"C c\X-s^-+ctrr -: tCr/iq /rl

fNi-( -{-

v\..aA\/(*,qo

d-

sGq,e;1r

\iftsa*t5%v O: \-

n{-\- riEiJl o C

ca-e r.\+aic\fo; \l- 0r\rg

o

: tas-i -!r" t*

cl\.J

Page 13: Aero Engineering Thermodynamics 9

i,!jl.' l

!:ili-;+' !.1

E:t

rj!.r

:

\,?.

<

l1

\a

.-

514

ta

-:I.f

-:.

F

'l-3t-.-l->-t )

1l

.-l,al* tF-L II

'i rrl F$ (:LLT!

\-t: .:t>\-)t

u/- ll

- lla

-\ J$'- l{, -..-,,

Nl$I t>

r-l,ct\ ir--cfac,\

a,

i :1"

-t-!:.Vcr> v

+l(-/Y)

r-i

lr

d N$ €

IA<J

F(,;'\{rl d u)r) o

i,;

'> ,l

-t-r) :

a1a(iq %i

' c,iri _I.

{

Y\\qb€0r, i

CO\aa---c;v>

\ -: v

\:g -: ? c*1.-r[:

^lr3lO Il " t-l voc 6> -c.-\J,OI'T*rli<o?xt! sO

J-c{o

sc

T\o\0

II

Lt)

c\)

O\ct\ ao

, a a--1 t+- lFr:lF tio" ;.-9

rt;__ \l

ll

(tlA

VJ dF-l u ot\l> o '-.i

{l"{l\^N

JaJ

f\s.)

dJ

d')x-

Lr

(-J

lr

it

IJ

Page 14: Aero Engineering Thermodynamics 9

I.^

L (d \,J- F

Jr- i. c

a.7

t\V

<\

^1Ul -aq\ tIt^

^loc\ l*oclx *r I Url l-

.i c\

Page 15: Aero Engineering Thermodynamics 9

r!--\

^C,

--!Fl 9

)J',

-r (,

(!lC\&- J-''<lC)!TJ

i. !,\-(-L

+)a(') a .-_- !i \ -^-i

CJ:Si ^ -\{*! l\+-\

C)J\ r.

c_ \r

I

I

I

I

d1-t_ I

-?ui

c+.l

iil

-\ I\VlQI

'i- i!!

0ri

r,FqJ

d

o

+?w

_)

NJ

Q"

c,aU.Lo!

\IJP{O("

a-\*

.a

qrqt'vlN1q\t\-:

^cP{J_

d

?-(_t?

)la

LL

: .Ft , Y qJ o4 c _r: ) {: e }"! c_tig*sF!:ii: l i:!qi:l (i-e :irLi!i

5 5 3 b $ l o* I c E I N t { :sfe*tasst-9r!fr-E:ux$Fs:3tltE?a$:ioSttRs w >'e \*:.: -.":i=ilS. biSio*t";r:

F

5; :! ti:iia"$irEi:iiqis:p$_tqbtrrIt,FF"t;it;*E i[:i\o;:itD:\rti:3lItet g*.;b ;$;$t!bHrrri%a_\,

ci-

Page 16: Aero Engineering Thermodynamics 9

\Cr

f5

.i*

\-vCj

c-

L

\

9t,U I

c. I

il1\-lIlEIal\J1

3l

-1'.wv''v

sC-oa+oLJ-<: ?-o+.\UU \\!.aoa

!

P,c.t ri

t-

;U-:--t-

.-c

q/

va\

t^

a,a

!Jc^

\pdoac-r l<X' p\^

-'v{-l-hc :v>( a \J1U!^ar\- !-L'3 -t c F .o{ e ol .I-+.\ -: ,1 <){V a- \, -Jds rr3t,.-"t-?\) n ^lU\V

o'

I

CtrtJe4c-o

'a_ ItbaU

d

o\.t-_

")s

.oJ_!

C^

:->

tl,

Page 17: Aero Engineering Thermodynamics 9

dtutrjijtl:i.

n:ri:

t-:A

F

B

I

E

t1-{cCavr-a-/cr\r\+.1

- 'tcc_

-!_- \ :r

N

b;q,tOrl

>r.C. En!'t-.1.\s|t

-L)FJl1-r* -e u,

OnsJ^/ \ \(\v\J

.rV,qr.:\\J^\J

t!n

cr\JL-N-\J

J(\JL\o\-(^1+ i^.,

t\,h-.tC;, s \.,

d c-aSr X rc,

!

O)

do\+-.\ G,,+^+-)u

\\n3$F

01

v\"J

-["i

JDc.\

\r*

L'tr

C)CJ

tn*

-t,t.\

) r-, \l\\ JIa v'

:CNlL.r -n. ,!

)'Y- -{- niC* v -'1

{nO.:s,(

..S r,^+-\I.p^{_(-)<(1,oii.u/

a!s+:-\

-S

dA.l5fFMLLa\

\){t- ,u1J

aO

dJ,1 e)

ar7!q

s...e+-J

qljoS),

c-aUq*i L\

-)cl

\

CTca^F\)Far

")o\

J

\l

ctr^

s4-p-c

Qv

('l

--\-e^

')A+

tt

(T\s.

J.Jal\-) I 6<1

:l\1 Ir_lc-I,l

oe1:t.ta l*l\]YI

^ 3llttl-loi ;^,'

j-?cQ-

2;

]'

t0a\q3U

c.N's;U:*ol J c\)9-osr'u 3 t tcv

q ; € [{i t "r t'seJr-ioc-jd.o f. :brp.c;: re

{ :d1* Ju

; a i 3i9{!. odI{NE T C iSs$ I ".SAdJa-\ +- '.JeV,<r-.a-S i F- '<\ ciE-dsS.J+€t o.\Jts-S t- 1^\ -a

Co

cr-:<t_vqt

a

.F

d\?c

ar8€-L oS

u=/lo/\'-st !iU -15pAJ

€s-l 'b-

-j-J

\-

:o_).-J,-s !)c,o.'sq;,'t- -C e')

IXq')q39L=^'{c1,1 -o,E I ,-<

cel ,l- ,)oJ=b(J

'ffit

Page 18: Aero Engineering Thermodynamics 9

3! l.lls/!

i:, d-\- l. l

a)lo.llsfiur>1:oM i0)

',,,-\-/"

n/).-

6

A

I

;-i--=-'*

EN{IDIIS.E TEffin.O EX O-EIS'Un'OE,iCI BNI}d;uO t

:vn ll a

uolssarclUof lz)

\/\/.\

a)j0j1suoriJns ii

a-*"-.

t"l,

t.l1""

;,i

\v\:

vt\!(!v-L

v\/L\ { -O

?ce I c/')

,e , \-,!a\\j*:' >J -!-\_ (^^l.rv+-d,

d-': do<Lo4V^\UAYaV

=JOLd\J,(-e!

dl--\+L

dL!<\J _ua\-,) ^luqol\tdc,

->.)(L\+J- r: ctq ii a_

<J!

\s

t

c'

-a.LO

t"cfi

OU

\-j

5\J

-o

a\)l*cit-

(,^t\;G-J\l

a1l

-ldlNI'Flc)

q)

aisa

?\)'JotL

{SldrasauS : t ; -? q -i-$d F qA^\r'iNSiSX g'F{f I" : f i s c .bfqJ^

fl S* o\ r ; f E -q {l\rg"l;'c:c\ -(r __ J

iEd99\il-t-i;{"c.X Y q d;t s:it-+ q t E -t a ;.i b o * i q d A e f.j q,l't- '\ t ;,.\..: -cF:.e * q, ;, d S FBI; 3r6, R ili'€x i g

-d -is)

+ F g t -d't $ i e.s I\)F E a r e F; X7a

-i d &; I o- v g o/ 'J--ctf i iQ.,dS\:-3i y: -i,X1.7 .,b.:- a : : .c e a * R ;-

a.; .,JJ-b \,

!

^ c\r

Rt\) ^\.{":

- l\ \ .{!St/--l0"1:.tr-.:_ "L "l\cJ -\=J-!(

C\L!e*+l"XCsAr)C)(-) )

1^^((\ \- rr s-<-eq-!+ )\OoS G c

Page 19: Aero Engineering Thermodynamics 9

.! qi

a

-l: LO /-1

(r *)Fc*a^

C,!-}:cE;r

-ts

t^d1..-\,

(

-ai4

-v -1P4.2()\,eaY,

.t'q

1

-lil

.,4,

U

t.J

O-,

'' 't

/\

q,. '

e:J

C]

xi't

.1._

<- -fY1f42u

A

\!

"lc!

-L \.1

t\it).n"Y!:{.ln{f,,g

-eCJ

,d Q{ a')-t-

\xI

"xc \wl

a\':qJ t/\qLU

lnI

lNlI'i (-/

Q,,ylo{

c,o$\)-P

.-

;. i--

al v

*:-

e>

+:(

-:-

^i.\c

va

J'1

Li-iiJ:t,Nb

&\.LqLJ

Page 20: Aero Engineering Thermodynamics 9

4ttrys4{?,'l8il3rqrwtry!4f5(

{

C

-\a

bq,

*c

a/c

U

car'.A

-!

-tJ

IJ

:

u

c-!r€rt

q,

tl

c;^l{-li-Ibla

cc-X

Q)

:-Fl

,c

U-(,{-t!

.t5

-J\J

ql*aI

J)

_0

\d-t-qa9

n\;FgaF

}\JI{Ul*Iclr{\)d"1+

dJJ,\(-\Q1c,ice0ey

{.s$fq,;:i ) t v - s;\+ dRr.u"!2-E'r*ore: \YEn V--r,.r<rCeCp:+\') p1-.-\ 5'i 3 E *cTE [,S: J J

r in i y q :oNoq,;c':vx-t C.:!t;vF r CI: NftL^dteca:-.co;'s0s\/ i I g q €

l ! \" .V.ALJ{J)o ) )o ^\

.I- S)

PN5\rc4EiFV Y (:; L

..<r+^Ci-?.EEiif(- Y c-3-gC nc,l'

Page 21: Aero Engineering Thermodynamics 9

a- -fxnfa2l)

"41L

Uc

:\,).i!v

V

fn-ct\

)F\j

{.C\l.a Qnat-{*

\\I

l19

\;l\

I rj1c-1t"-,c1<l*q.\:\--]U.LOI

Il^\NI .---,.t

$l\\arl\l-\]alrl

.t\)\^l!l-\J

I

\)alctNiI

-lc\)t<l\)l--t

a\\

\.tl1

c{q) \, 'id ^f P =h n,, F{ c d ^ \ d 3 & }tf3.StlA.-,ii!rsFltPii -ccyu_\Jv'-,-l\

: (Y o b \ o\S g j-c a /'i

; t." E! i" v - i ^-E9:;\'t-a

,'s c t h-sEq q iq'p':Ya D: s i 0 I : ,c Y,:J.J4--*f {sqt\Tq,*€ i r,i a i \( c, $ E'€:-3E:i ;i'"i; i"?5; t S j5 y -F 6t:.i"-crLJ^U,9CvTl

.: E: i'. "i,: a FqsE2flifE

3

$Jls)

3CE

Page 22: Aero Engineering Thermodynamics 9

-i IU

c'.j, Laa\! I \l

v,ii.i

:

u:t_+oFL

o

-<

'L-

\--L

l)\V

{--{!J

$)aeJ

-e

t..

bYil>.e_

Ea--1._

o*s

ta-t

'+-o

qI

vle\-

-c-

'l- -!

'r- b\1' \.1-+r

b o--)N

q' o)--).C

s{q)

l{-'lo

q,cq+_

t-!a\c

9cr*Jc(, c->Ut- a-

-.r-* a

J^\

- (\ \]:x-L

r\s-+* N --^\\\$l 6Jo

r)i\-iYlbI?\iJlsi'l!tbl,i<l

A, I

alJI^tUI4-l

IFloa

.a

c

dl,\a"roe1a3

.s- c g d q 1 qt ot€ L": JJ'Yq-D-."r0-o')qVgq,;\+ dRt"uoS fr-tr'{-oF6:!Y.nv-d;po;cEc pT: .\ s'-q, n,c t trE?€5\'J5'x $c:4 q y q : $c'loq,:i':fih{ i 'lt; e:F; Eiq $ P: tb d'tsrt\-qJ!.a\

"s Es \/ t I f, 3 s i' -:eurJJ-b,:.rn:ts:.:rL 5 v R4 h j tr q ,c{- .. Sn ' 'i'-: I I i e ? i 9s

--v: .-3+tP+d

s

o

6

tJ:{

ai

'v!

f,i\61UJ-

r1

-+o

0/a'eS)'. t:h-\vn:|N\) <*.a/v'!n!{l qr

o/ ': :l \+\-1* IJoJ \4

Fo\+-NCorJ'c-o) \

! t\9.\

-J.O1., sJuv9

r-129

^'.!NY -b-c_x,.il

Page 23: Aero Engineering Thermodynamics 9

-e\Jo-\\J

-*N1JqJ'- 'CbS

trqt- 1. t-,;6.v(L4\q<tCJJ'-:.C-\r-;': L 4 * u

YnA-r!J)-J+oscc< \r \ q U

U - 'Uar^:iq_Q}('9O-':r$-*e9bo::-t'j.-IcS e J r\\4>.-:cr)./Lq,

ddf.5e'e'l-€ci--e:S.L-vtr-c?c/:Jsl qls.{i-o-: c r.a ..(J n ,)\ \r' -t_

!) '!a\c-=oCa)Nc^rsc:r. . (]._ i -\. c ?': i,I N c4 Xtr s"tt e-Y { !,.-L=1*acs+q)qoyb

2.C!\-)CUqS

-:..-

\"-=(,,re\'a;"iL- ! -:ef

ilJ uYl C!*<,

Itdci !.\,-l I a- {v.-1 \-J0 I.rl V

iu;_^N\.r\:2 1 \ .Pl ,:-LL i.^l !lJ1

I r-

ol 1-?l !l- I \r\rv

**o-t-*',*S

-:-

r nlN/ V

\ 'r-a

{-L\^

\

^C--j

/\U.\

c

u--,\-

*lJ

e

sv1L.>l

-L* i

-tIl

+-

q(

Qr\tI

.su.({"i aJ q.L t yv ;f '5 s {-:0(aavnqs$,\3.1 { -t__

ar,A-) OJ-l-...!\^-!O->vJ \]- r\ Ja cS, o.s:o,9;)-EYi 1L\J L ! t-so--s> *t,+ i t:Q,Z4<-t

gcrXtTrlc.-q.n>\

:vwe!df-L\qr+-t -: qi In c C--c -> Tn\-{- !)-<

.'cdIO"*i't--i-o F c cel:c\\r.}s P E $i :q YS : F X9 ''i* : -t ^q \)-

+ ef +\ir F

"Jd\-6-J \-,)iP t :-, Ed : ; *o' FA) c S!-u b\ S

.Jaj 1l \l \)v€sJ<+c? :Ci+q/AJdt -\ (Ol-Cva,I CI)S \, F\- +- ,'

cd X -tf,oq * :' I c"":\Dlrf\'-rr()!*t+ ,Y !l{v,.I-x'\.c\J O C -r'- ^1 .\S*e o q j J't-11od<n'*-\\g

q4cvxSt*Q--s-,d

L -!*I n,uvn.*C:otr"S+U

7,

\J

ai'Ur-{--9

^rUo, \::-(,J :l-

Ov \\,q\qJ

lr..v\5l -+

P

U

LL

-\.--

\Ju/{)

\L.\evc\-4.:sa-:.-. (.-

+

J

l_.\

ec_

"S "S

-l

Page 24: Aero Engineering Thermodynamics 9

\?

<l

^.

(J

^i.-

Io

sJ)an

4{Fl\J

oa)ouAr

o-e

d'a

-.L

(J

A+.o5UcJ

N

\

cr.,i1!-r]l#l{(-\

\et\

.)

-r-U

\

:.::-:

Cc-r-

.:e

f,<t-o

t()Fo

-a

J-t_

L

.J

.s$\\)

Y-.v

Ol .-C1-U

.U\J l"

(-<(-a

\ts(_-

$-\\JU.i *4_

bds{-

J\n 6 < \'aist \ * u >{, 3F n € * l I q';qixsJ i J! g *i_i 0 sr c \:l y IoS33Ni^:E{'\h-c -: -L --:

"<\ b \ f - \' e: ! fd l::'F A-; 3 \; ) i\nLA/\ fin o ! q e \S (i

d " {.3, $ :: 3 S \ i * -i&t:,;f *s*hiE tsb3 sP - '. s Yr

X \r r1udsi=3*3tF:r ##€ilb $Et &lt{ -ccs3 t+ N F S Y: B 3b3 s fi Y it -- -?.: S E : t v +s { ; i a s : F

aJ f j) tr o)

$ s; L! o .s qr: PJorrtFisRR. :,28' 5

-ov

-esas/

No

01

s-t-\Q)

c'a

-)

If,

aL

qaa\)

>\!

o

n.tu

o$

i\)-JOeaTct-

;\)vox

-tr.a

-{ei

oa

Js

!:'\ !.NLlauc)(-cc5 .a

tv.1

-r_ s4

ANx\!(-'dn \)\s{.F1-U{top\Ju

c-,\"$\q(\1-fi

<lqJTJ!raa\J\n,ox\^:o !d

^eJ (r--!t (1

TJ

-c-Y

r

CI-c.r_

o

Page 25: Aero Engineering Thermodynamics 9

-.1tl

R'

&dliE4t==-t \ l'r

{t'l.r itiilll-r I

- l--

tr

EINIIDIAI,E TO8,lLEd EXO-UIS 0,\\r i0 Blfl]luoiet

-ae.{l

C' J.l_

o\L({c

/\ (

A* q,

n

U-AJaua

J

d4- \.V.L

tal€t \

p

A-

c\JStU

:

a.:

v_ .e._

1, \--:V-i

!LJ\-- C .,vr?Y \!' v-l

ra'

C-{-\!n \J \l

1^RC-.r+Ndv--Cf.t\\v

r\OJ

+^ t)u^i-a

YRe-iD

J(=,-. \ t

a+(-{\yvJ

j

:- .=

(- .(

(, -+-

\ (-\-):( r.v!

-+OS

:-

-

-c

:

r\

-l{,)U{c

e\:

vi

drS-ts-

\OJ

{Jc

es

::!-

\!

:(a

c).!

a- ql

v-ec

i-

L

>-L

:,a.<I-

-g5

() s.pa Z-.q,c

qa-

F.

c

!

Y

c.

d

t

-c

-

G..s

Y

c-c

i-

l;\z

-L-crf,

..t-

ir-U-

^

c

..

<_;,e,

i r.-\

Page 26: Aero Engineering Thermodynamics 9

aan\r'e

tra

\,,C

!,J

v\\\a(: 'O

"C \!

t

aV(1rLca

o?!

Ci

v-a

"t\ ^ rlq{i

!

\v'.r t]t',1

a ''

L.-

q.

.i\!

a \.,

i

'i--

,C

,'.

; a c-1 +q-.

ccs+i e^)v

U-C JV '.]

v>f' ^ (*

C/S;

I

!1

d

$\cQ

a)0

eqVpiaC.(o )L.-,

\--(-q2

C(_

Ir,r

s-t-

\\J(V-Jl-C-t-cjU$

f-,s

\{p c }3i;i + € s ts \J C F gl":P:v5:c- s\CJnla

I:St;# s:s+'d(Do-Srnlbtadl,E SniE,sSiL)'Sj - i I st {{iit:t BeF:^S+?'a(*rnl,-€ ^ i a c$iJ oJ t S a 9 *+ L

;€:Y 5 ;lo)tucasaFtI ) I i c "s u V]elXdf AFI:ya-' E',i Fa qlf f ?€ : $. { F 0 rl ! i ;-t a $ i F : G 3ls/ € € i i "g s nl s 6o-f

o, nJ

€e+

l'c

1AJn^

.O !!t:\J^\ )-tceL{n*a\\J'

!t

{o-

U

{p'1

I

fl

Page 27: Aero Engineering Thermodynamics 9

/\,'\\I

o,v_, ,

/

'. A',

\. I\9x!

,.1 --+-=:.\ Fq---\

r.-- \ -!:jl "Jir-r.'-.]It

Et{I5}iE T-ES-3IC EXO'8rs (ofifif ,Jo Dihlly-lucrryl

I

N

oJ-=1

U-q\,

C-.

eve

(-:\

Page 28: Aero Engineering Thermodynamics 9

' jlid stto iTgtrJd

?W r:; ,14 jq tld I 'J7u?8 () .i qi / Q t r.1 6',ta n

'Otr-\01 iUO

'a}-oU\) q vu)'bui 7cl-l

t'o ?(,15 ?tNt25 aq+ i

^e-/ tn<l +no r/rnod I

'-T)aa)-i ' uo-2-1 n)alTV 1"d l

,rY_7 _ranod ?uo

I

I

I'aua I_1,I

I

' I lld +"r) a '1'''i \ r') - J

-zu\)ltl )utt ,oi 1\:r"

:r,,9.1 - )q+ /,-' r..'-. j

u-r-1.+ i u rl' la Ll

rtf?] g au')r'uJ

? (-t+ I .t "a L 'i :; ; trJ ij\'

Vq,l tV ltlr)1t)'s \J{-"J\i

hU a1"1 (L)J.')7 i)10'' rl J tl:

I ?ro-!r r'lo1od ?ut)

o a-'

] l1 (r-trl-t , 'ii

!

T7PD wd e?d cl.')' 5' o o'Ul a)-YY->ih 1')1 :-errtt) \9q

'auy%cta ", 4? c r'._, vJ?aJa )'>'.'-' \*> o r/ )(r'J Y i,)

'q?u?tr=-">

.-\i ;t^"'.- ; ): ]- *r.'

c

!(y

J

-T\J(-

(fq(_

1

a:<.o!-i

o

+-

c!

€r"oe\)

.aJ*J

-a--

sJ.

vi

c_-t_o!

oC

\

<'<-)

cY

)o

l-o<.-c-

\)c+-

_T)c-e_

f\

s)

a-C\)

"ct_

c-,.

}-

-i-c

UU^l /^.v!

\t-

aI--x

!a-\ W-i\-) f,-

<J(i

.S e!ts

ts\l-

a<!uL9)

c.^

\

t-c-.E(-'

-Cb.-

ftq

\JS

'+-

^,\c\.

q"

_t

-

u

!(-

-i--

:-

'a\

\U

l

\-CsC-i .?

dt.:t !I

-q\__ !

a\J:1 n\Y

J,

6))t:

^\qJr_

J.JJ*\J

Page 29: Aero Engineering Thermodynamics 9

liI

ij'r ) - -

'4A ' n?ftoou JOIV)

rtltTs !'q aA)

' 1'T) I O50f

(l/ 't1

01)91 0)nd(10 \arnad flol

paa(/, q6Jy ^et paqn

' w tl u o q?au) nnl 0A

/o -tr7 u a f q'-rJ -a't44 Gl

"n'P F2u rJ lq 6'Yan

r.^-lU /J,n df dYno '1) c--J

7 j-Qq)

oTCrs)-- ->-l--lJ:/ JJ ,

.r 5j.-,J

-.J,'t

-_-

) r-'1

tfO ;lr)l)U!.

2t la0

ar,

_t__I

I

I

1(]I

@6.bec'i{': rg-'is

.>{o_J^J t9rY \13?! PaO lr.)Di-r'? lt

' 4 *ocl fii\rJ1ue2 {rnlCIA fu.t2)aa} 4ho4 | s'any:^ ol

-d>/ o lr'rc rral 4

k:vsl lrDdp6)

. 3J.>b 'J?-Yr1ci uDu+

h<rtnt* |p.htt",Y))t+a

Y"t'l+ c'"c-y-

-au$oud

-z:,3^.i Cct- UCrl+ -nl+Oq

A A, J 3-', , ,)<? PYsl )Y-'d

'fnoa.n4-;2 rvNr?q+ q 6IHi

i

' hl r,,z,n,tt ! J ltt't't r at !I

----'-.-."-----l

a 7t-,1 d utoTaa? i" r!

,T+ u)\.\l Jr n I b ).}. l'u'r loo?

euO uo')'rt lWg-r]

-finitc-taclt^j a J'

^ t-l.r U r-i U l'd 0/ bi

'ErarwloQ q

Fuylon ('al q?d 1'o {7a4f,

vJ-QOv 4 uo'il tl tN tLlUoA

i ?- o 6u A P:r*9 nY

't4'Vl w

6<L 17oaiFU,tl u>lLqn? ia

fv4

, ) -^I u? tA/7Y ] r){, J\

"rral q /2O

uql <l ul niuGl)

'uo()J

b

7

t-^I

i

'?\,O AJ traY'q

Page 30: Aero Engineering Thermodynamics 9

0 --r:

c* !-q\,.\ n

(\,

cU

ea"

.:ql(, I

C1I

I

-lCirlt Ivl

.-ClI

lijri

UIC.

'J -J

':-

r'a

J' n'Ir<

a _t

NnA

-..f,

Y

'_t

q

Ct'

:.'

;L,

1

I.1.l

\l l

\p+dt\-)

(\

\3\

c'(

F

;

pa^\!_

- 'a\\JUl(

5{!a'-*)O"t-'\L!

\/r-

C-\ \lnl

i ec ie '3 q :Yt-cesAN-s-)olc;c{

{<ac3CaqL6

't-\)Yv*eFA\t-.gO)o:

n+J

ht'\L'{-.\c<ns-t'v-L- -t- r:-.. lFi'dLC: €-a S' aj{r)UaJa)vJ Y1\--\-L:11-:qao*

II&f-] . . -' /\ ffi @ @ -fi .i: -: i

Jq4

,:

.S

]_L

c-g

U

1

dEiA]

\,JI-r r" (* LL_d

"*

os

^ \€€i{(tr5i€ a-!,

J

J\IU

{'sdletrr{

--\ aJU)/-

-\.laq/ dUC- \

^1\-YJ\

$€:dq\, q)f -.'a-s'

ul{d

sbs\Jta

3tc

,o/J+\)

EEq)(^

t-

!i

i:i

:?

j

J<4

.4

rc.)t-.F

n- A-

<- Yfftmddu.*;E-tYnWA

ln:; ',:-lt

Page 31: Aero Engineering Thermodynamics 9

II

ia-\l

lq,

:i

Ct_

i

tr

ri,. GO

I

lt

/_J

i?

[-:I

(L

l.a

\l(7,: o_

\-/L-Itl

{i

E

J

tQ-]U,

t>I

l

I

II

I

t{I

vc.

II

rr'Ft^) v

4,-) c-,!il)

,1,C t'

-<r- 7\-

)t

ar-o1

,tq{(yJ

\lc^-i

T*

C

dtcgJ-<<

+.

-'

\L'.)

-:-1?

^LrrS^l*lL'-clota'"^s

-Laq-'ao(t.tl*c(]i('c!L-C:!t-L(s

\1 '>(;Ua1 r'

aJ Ct;:Je4hJ!)hxvr\ -{ PU+

.oo.SPs\-vr\nqISc-1-(\

-J/!Jr$rs --Q c/v) i '-)C!d-.xItsJa)a cf t-tso\__TCSa+

9!+-\ -r-qL- l-. .r\rL-_

.:

L

ail-r-l

UIoll:t-.L

I

I\)l>tt-t-lJIJibI5t

I

I+lclbl+*l.lcl

AJ

,+

c,$elUp

d

-'\r.t-

IL=aiq-

>1 u_

UIU

I

li

=h:rcq!

- 2 \-/'

J!

v-}L

I

(lil

,

fi..-. ?*9-9-:i;**:-- l::^^^^ ^ - -;EF*4j

dLl

cl/^\

L)

n\ioF(.t*

.s.-L

o-$l ;- lt-dt .drldt-l'

rlal

i\c sl s^ra

I

'd- I

SlC-\5F-Jr\e

vc+d(J'=A

!L

a-!'l!i\gCJ

.3

.o\L.ca_

E

Uc-'optc

A- q)

,,-J,cot-.Lq

Ic0

.<\cJJo

et

U4_ t)v+-

A +r!J\lJj- cari.v;.d+

\-^6.ir\.r^d:?FNS - dc- c-U il9 siS d :;t':-F;iix^a-\*/tr -\- ?, .-----\ r "n -l.a ; *v J* slg >l; u : fg$9 U':t -J i, ,

td:.tLt" c4 n t r:rg $ tslt-!c-L(^aJL-{ q/

J -.t--

Page 32: Aero Engineering Thermodynamics 9

d!i

!

--)-

gA-

dv^ col ^rL. rr-ru- q CI6\Ac-c

r/,,* s- . o.- tr\6.1

:ar,'i1rI -'q 'J ocq

^ct'q I tt -E-' Lr-

,'5.LnKPn

lct(

t

\/

-

v.T

^rt6\.- Ji^l$,, \u$\,---./

;->

-t

\\€

-, la.hr

t^,

-)-{

n!< l-:--; t-t?;r,rl],

.:J

v 1-rcq ) \,,.rc1') )\-6 ul

+clNS)t

d n\.1>l+e\

qC

r\a(>l

l_d \0--:)

+J

l_

rl\

r,{

vt\-or L "O l^. Cq-<ld.2t' -t 1 €

rr"l"l I'N(-6.a\.i t

cr ^-l* ; r- "N /r

J >1" I c- ,c.,rvt+

1\rrf \J O-r tl\i=\.1 -c a- Y o>l I .J* o)- cl'lx(l

\_l-

*l.q l.A'^ lcqJI-, I c.l.dl'

. .l

od\E

3 \10Q -r-?r

'T'-gNjl

,a) c1-) c\

a+x^e tt,.r o ?, or ;:

2t " rlq : n: r dra -3\RX i.s ._c -rdl-c I, ' !J

ts

6A-v{fqt,

N-rl+.rl-

'r t l.n-o - l-rL"l

rili

€_i.::rr

a)a{-+f1

c

b')U

lh\1,Aet I :r* lon

-t

{J

-cc

Page 33: Aero Engineering Thermodynamics 9

c

!

9),-*

oo

}\Fc)lOJ 1*

I

9_ a, __c

\OY3\CeIii.aJ-.ro0is9 f(

Vd',r $'r S '-o \* €^ c >ll- ut^\

d.iq/q,n\-

c__

JLJ

{wq!

S)

.{o

cF

-€Y*gt-g cr

.Occt

c{]

€,t

t4 J+ dr ou-s 'l t-' cr)

rlr(rf:-f:r>oJ^-\-

J(_\

,,,,(ir!dvc{i.? 1s e,r\)irrt_

.n 'cqlL\CL

I l.>- lj-"'\a-l

L^

," lq:l,ol{l L'\llcn\a"t\----../

ll

^lvr ,.-9.JlL' l-l- I I \! i'

o-oJ

I$A.ea,

-l

A- r'l

o c't

loL

s),\d\J-

F-b-

,(fLI_ .i

t1 Ssln

lr

'.-\z

Lsli

fid

F\ol.o- t-ooolcq-

t-

-l-l

tl

I

N\d1.:)

a-\)

q\c0

['n

L

9oo

=

cq

rt ll

rlq E

Page 34: Aero Engineering Thermodynamics 9

a,o

e- o\v3

cvgf,;

'A nla-\_

G

W' JP

Jr1)\J t{\^

>(&

-vqdri.:'L4

eJ ,1 -L+ \rv

\JCL^ n ,Cev

,J\ 5 .a ,'v ! (t \

LLrijt-kr!

qiL-i>-\vvT!

i.I a^f.!!v

c!'>L-c'F

-a..-Uo( \r --ua\J,C-+

n'l.5.s3_I>-\Gr-!f-c: c a o.

J- e Lr uCo\)Ln{oSt.! ? cf .'

v X d N- ot J: J"F \Jft-t

^\Jtu-+-n-A E ? -,u'\LY$4r-Cr.J:)

F- r + $ d)' -:1 </\ <r Qr :\u!

:t'* <F P !J d c c-\-o

+-.w

q)

?

e_

AJ-(*L/j

e\.)

Lt

e\C

\2

aJb\J

oc)/c

^ L-)

5

c-'aJqJ

A-Fzo_

nv(J

n^

fcll:. i

lritliI

1,

\,i}llr

{i, i'"il

tz :'ir.0

:

l

Ill I

c-\:'

lr

i.

-(-

a'b

l.FJ

acl

{)

JrO

O\--\><.xiJ

+- i.rJ hl..C c,l--a rlco'-, c*\ .. I rvr: al6 oa J -'*+ rl+-\Jt'L

A-dc!

33garf

\J-tAe<'

uLrc'l

^l

i1 .lo.U

-t -,./\e

(-./ dl

^$,! +(_ \J

(\c0

L_

(-\ I

_ctI vJn +-c(J

'-r Lt), ".r> s

T

tJ1.

-l

-0.!.0. \r-\--/ shJoo-a ox

X\--/ -9

d.0\JJt'J

";tro cq\

tL lrLI

a\,

;gJ

:

i

j

*1.\\r ('A-.rC.) \/ {a

\)<C- \o I-vLo.,

"^r^ Oo g/U\ Cil O

t^1 ^

\l/o00

ri

tlr.)

T-

CD

l i l,

-"1!l<o; I ^-o '-$ /-*rl0_ c_t()lJI.. Iat<l

""LI llA-A"

-\ t_)

5JU

lt

\

Page 35: Aero Engineering Thermodynamics 9

\-!]

{l

V

(..

iCv

4

.r

,:l

C!

c_

:i-

+:

i

-t-G,-nay

Lv

.S

..Yti\Cr

c_

:

:

(;

-S

lt

-{_

q1na\J)-

r):

N

o<-t],

U

{

\I

-oqJ4

\J

-L

a?

\'.Sr-

i

I

nss,r

P

={O

tfo-J

I\+

JI :dl 3'=l od\ &

Dl

E3.a

t-*dt ,v-csr b.'

3r--c ct*t3

e)'v

.F+l

.:

\{

,soa_

J\-s'TrYqJ{ea)

sl(QF

r-E

F< 3 ---)

c,aL \ d3 gia\)r- vdvr I a.'\ g' c--

ca s Q-t-d J--d

- e,l3 {:--J\F:9R9E\rJ-1lcV-l qUx

(/1

,t' S o-

s3\ue'\

JYar- 1\)o, o)u'Y X-i- d

<rtduc

Lq.Cnnl e"

i4 {-"Av

l-UIe.^\OJq

qU3e*< n\ax

.'1\J iuai

-F M\o\cJCh\J

o-)J

c{t

(_ rfrlf nJal)3 + t1vrLl0radu}}l,c-.€t3

Page 36: Aero Engineering Thermodynamics 9

\"i

e,"1'U

\a

a

0,/a

.'-

:D{,

\,-L.?e,

dr(+-c.(

q-c

i

1lF

o

CJ

t\<-

aJo{r

-ari\c-

i

c

)

dt3

J

J:!r<-

J__1-.

et)

I*{t

crl

$A{

o_

-+-

Oc{+C)o'is

4.t

?6. rl

Gt^'-Cr't c *ld tt-4-rl.r- % dl

I

\-\J

U

rl

Ue.U

\I

\

o

.0,l

c6

s))I-tLJ

)t

J

*-bJ:a/:rret: ^\ft -\-r-..-\q.!a\t^.!\\N;o-\ v \J' ts\*,US-t- \! A ,-

\- { b-s

'J wq., ; \! e(-! c -\-)ccliCncorqrPN'ri-r_^Fqi\J

c3 0^c\ \(\lsk{-cct;b- A9{we,{-do

\J-\J.(-!J{* C- h --iFO n.J-ENE

-xi\rCJ{_l_cJ< \* cNd'o N f-(- \-(5aco3 tr'oS t.S

-c

e,

c\-

"S)L

ay

t4J

_go

-sa

ei-sI

L

ac-

a\

*, .il?-

lv

vAv)\\Y

vc

oSq,clt--

(\'

orq{-)\-)-r-

\Jg-<.tq)'o-TE\Jb

t

qJ

c-JL

Uw

\J

(^

Ea

a)

\..,

od

-JlJdE'-ie\J

.c+\J-a

?J-

;{J_

$!

9GSJ{-Y

l-CJ

f.J

n\

"_ct_L

-aCJ

-at-s\c!/

t,Ca(J

1lsl!lLlJIc.t-pR

cq

.d

nqi.J

cl-

\I -o)\y].{- \rf,

C, q',) '\

(!\slef.- \a

\JJ.F o:D{Q-^olPoJ{\a06a-3

ir{ \l

c./1 d\J 6': u

I

,A_\*aV v ^')o-rqr-.rra-)ca's\iu

c.,ll- c.Pol co-eSqcc'b-t

css-5*0

1-t\)d>*Ja*uudil c.\r.Ci-'r*-ct' ua \.)

,cl cJ lF--'-V^ 6i q'i€X

c,

b'-^!\ru!alT\-OuSv\]1-c-{;"-)b\rsu

c--\/\

^or.c:SS-- \- U

P Y', $At-'riJX^\ !/1 q-\U!€a}.'-s

J^\ -\'\USFt 1_-.j-

^-c:r}\+-u d i'<-Q-C'Jnr-5 5il-a.t<<bi\\

oC\)A.

\la.

c!IJ\)nNIe_

GJsF

n1

e_+I

(,

q-)

cFr

.e

Jrc(.1

0\I-cg,

-s

.F,/

1-:

<!

Y

;

oa_

"?\J

oL

s%

Lq

Page 37: Aero Engineering Thermodynamics 9

-i Ial+Ql-<lJ!t

'

:a

-Cc:r-l

t-:\fr*\ \J)a -r'( 'n(?

a(\ i

?J.Lotqlo rO L I>Yl^L fnl'j(". JlrrvrU

(-.

\j, {- \-)\J-\)v)

va.l

qa

.t{-L3;c'iJ'c

rlll

o,s\.)

nFo{

-LCJ

I\).)JaA-

A-E

d

alI-

C

t).\.Ft,oll...\ i<]lJil

ll

NoC- .J

a!

sl _o

"v(sl *\ -tV' T)isctb0r/ al

Jrb

nol v)

cfit--r\_L[ \--l eJ \+_ _c--e

^ r"l

ll rr Q-a_ x_t".

C, y )rJJ $-

g *r. 'S 'so a-+-fJ

3ndp<I

NJ

_o)I.o

^.t aLL- (.r\

s)r.Lq-

-{JcnaCJYF.Ll\ ./

Ja

tc

Itsoa5A-F

cJ

t

cq

n\B

-s

cc)qc

3ttVY

Dns(. o-c

I

c{dt.-\ \,

Icr 's-s\tl

ct Fz

g- q

eD-

rl,r

.'ir/\(/

$

$

c\j

I

't-c

-{

\

'eri F--liJ<tnasnuLQ-

cq

T

+qr

tcc\-

I

J{q)IgeJoJ

I

clA-

I

t

dJT<t{S \t-

tY,cst)'{ i'

t

d

.{aY1<1

s,Fc_

ci.:cT{

-qs)Fe_

q)

o-g

>o

\9$

ts:%

ILe

=t-

eav6'+{

O*-0l

\--qbt^ s..l-*Il c

wI

cl

J

q

-ea,v.*

cL\\i

v1

tP

=ct-sll(s-+-

nl-A

c5eJ

I

J .\Si)UFaf

Page 38: Aero Engineering Thermodynamics 9

:

-c

.^- v,

^-ca, c{

I

a i_^. t-\(N

^-\,

c\ c>,/\ !

v

FL

c

LACff,

!'11

i.1.l

C,ul,{^1 (\

cl+fJ

'3+m"|

-S lJ !i st

(l_)J

___s- !_:,

OJ

c?\

nu3c_c_

'\

-c

c

Ll

*a

\z\

:-:1

n!

L4

..|Lr,

r-r

J-v

r\\l

<vtln

Fl)!

') tr

U.l Ylc'l

c.\ h.!

_o ots -J

,ts-\All

trLt v

a\f'\l\

r^i{, .{'dtr wl\) o \/n-{\

XtJ\.trr\\vov_ vl09 r Lilcl;cc<t

t./vooc{?: T-€oooUO

9oo-Tll tl ,, t,

cq -cq 4**t--i?g

AJ

c

d-

L

+c-

Z_

t-FJ!)

FoJA}

tcI{

vo)<

\(l

-ooJ\tJ

Jd-o'-' c\

^"1n V' Lr\./

I

YJ_J4-

O .ltcO .+ \--b

lct

,,tl, lr.a_

cq '-l-_-!

t)

d__c

\i

<J i-_ c] \vltY:i

)v

r:(-o a 'i- i'

Ec,;JTccqljeocv -s c.l

\Ctcld-6c{3;iL)c.clt-cc

tFS)65oJ

c+

JJ

z

rt

\JA.

n5\

ll

NA-

.tJ3-1

\JFn

{s,

q

()ao

AJ

Ua_ \)9"o+ U

$c,lrt ll

CF1{

dJ.I{aa!J<nq){ a.-\JCFc./.\cJ

-J-lq) \')

-oae0 clEarc<- g Aa'yoqa"1

t"

Page 39: Aero Engineering Thermodynamics 9

lltu)

,J (J]GJ CI

U

l

Lt li

v{,--

ll

A-o\,

\.a)

Lf<rJosJa

qJ

eko:

Ib

\{€1

.caLaq^ L - - t'(-(r"', : \J t

{i

!a\o

J)._od-t'{16UoJJa'\Aon t-\ .{-F Vlr- C, Sav'ru-t- {sl-r-vv\J^^v/!-!-!sJ^\Jv{JdJ* rrx-iRri

i(,. \ c"J\ \ .ctjllr \Jc'1*---\.----

i ,,-\,^. \ Ln'

-cr\rd\t-^t\ U \CTMI

sl\r.'rF I \cq, .n \b ct

/^ tafl .\(; a I \'',I J \-J---J \J I cl

t/

,.t

C

<a

a-.xL9\_

IL

L-VO

COLQ a-

c!02q/

ca(-\

ro{fots

r.4

\o-

CL'- b1J c\ev,?

ca

a

c

cq/

(-:\

--t

!a_

ca)

J- d d i .4 -s; ; "';e

0,

sLo--.t-r(

\Pr_Ic

J$-

,J -{xop+r -r-

r]1CnO .\)

"r c.qJo

-.) \.'\\VFLevTf,qQJLCl\)SF v q: gx-icuq'x !!.sJ }-, a'\)\2oGc4 a .lJ

Q <+-.

t.>l<L-J^\Jo-i c?

-aaJ+gxs4u

J'\

JCrJoi4a-'<J6-L-c( '$-w

(J

c- \J -b-

9-.l-q-b\.{ql,actXtcU n<L\-+ .1'YV

\ld\v -l_srYs.:CIdJ

lbc{o\r=<\4sA -st2

\J) J3+'r.9o:I-{={

x3os\

,q

+ ,\)ctr^t CY\)JA^\\\ys)x/xF\<t-

eFr\-| '-l^l-.JlCsIt+l-{)

l"qt<+1-lglsI =C

{rCIclalql>lYIol(l

t-t- Iol*lsD-t--{q)q_

L3-3

5sa

h!4t.-icisT;{h.l .oo

do cc

tl ll

dc!

f,irJ'etttl\)Jd4-CqL.t- c.JaJ+'t-

-dtd

--c.t--

3a0,q

qhFci

-r-t Tilo sJl, rF

-o-:_--{

Page 40: Aero Engineering Thermodynamics 9

+v

I

;YI

^c.tC\

^dJ

gl

,o

Li

11I

oc__

tt

-:L

La\L

\)J

A:

c.tIr

!i ^^{

vt

v^c(L

---J--L

X^

a\

I

'tcl

r<

v'.{

a\

Tv

^cl

)

j

\)l

t

0\r)

^(\!-

..+r

L\-v

cli

-I

Y

t'(L-\2

u_

ir

Ir

.1

j vi

i

I

v

^cA

o-

v^.n

\)

L-

atC"

^ciL.-

:irr l- V'l lt]( 1., i

^(''l i ..r \-:-L-la-I

ll

r)

I lv_l*aql^tl

t\I

X

oicJ)!I\)

cl{:)

L-Jtd

..{

t--t

1Vi-N

c_.)

.".r V\_l

,)t-

d(--J

CL----J

ta_

\l{ rlt

_.l .r r ./ -lV_./ i- -lr( I -

!tl

-tr lcC/

.)

^lvL-----)

^\

-\L't \ l--r."lu)-d

-{

^l I

ILI

\J

C:-)J-^ c.

.)a\-,J.

t\--a

oS-h

v,!d'nia1 '-SJ\vR\_kcl\-JAL-Ao!ogdNi3\s-l*l\\s 5 (\tuu

S))d-cqJ>Fct )t+.<\\v9)i\)r

F:"i\

d

{JJ(x(\)L

{F

J

o.)

c+

s\"*J.)

J)J:{+-(rt\i \J

:cc

q,L

-(

JF

rt_

O

J)

{a\)

tl-

i.l€

Jr

)^J\J>{

o,r C^N!J-

t\rw

-- \{, j-\

dI

rlc

{\d-:--/

,-L':l tlicc}

^,r{l ^-\,Jq

L--Jt:_\t_

t_.l r-l c(l

J

o

\) .Ii

Tlc1t

c\\ cl

+rll-cr

^,lrd ]c-

tt\

^! .\$

.S

-oo

3_ct

ol\

aAJ

d

d*c+

:*Cst' eJ F> a !-u'iue-tsr\\J-n\

v.x!\LA5! "'l.v

d3+ dav \-JqC^\iYcia(<e_

r{ 'UA'N*VNrs{i*t- { +-

Y,\. \)ra \r{oNe$\-,\ i- o,/t* (\ \

-l-JQ-\d

D :' Sd)

'l*=lqda -qj

dcoo!ndV 'C_F (':^ - Jt9X-o.)aJC

sl>.5,x

da\

CP

\)Fa_ 6J._1

"), fi\bC\o

(\\ ox'oY\Jo^ '{J\J

.1-

o-c+^

{-

{5

J,3lqlerl

ht--l,ldt--l^lUIolcrlllNt4lclFl

\>lciI

i13l-ldl>\._l

dt-r.

Ic\

aa.

ct

€\J

S

aL

J_u-o

ot

.o\x{.

Page 41: Aero Engineering Thermodynamics 9

f"i i:r

I\C I L -:-\- ^ -:a\

cl1\

J\-o

n

.a+G-{CN"

U

v\

-J\l

e

---rc

-\l

t-----r

! 1-.. tL.^A I

v--) i

.li1\\vlgo-rt_5 ^\

k\t

eti' ,L

\!ainC,

L\

c'-2

CLI

sc\c' {ld

"ar(r

htl d\n ci-*lq- :J

l--,/

(, .l; -\l c,i .trc 3, (\idli -)c 'le I eir, -1'-

,',,t.*

o^CsC,9'!ira

^n\6 ': t J

'l--)n,35;

i F'' r'

ava

'\f\c.l t*

ra{*

\l:N!)gF-LOt1

T)1oP

3i_Il'o>(_ga!cl-\c

X'l.-\L

:\r.U\C\r6 c):*tLs''v {-n +--c

Fg\Oq7aoJts-c_ q,

'-4{r\JqjbA.

Jq-

v!.oJ

a-

:t.J

t

\Tlccl

sl{

tg

f^i\)II

\

.1lc_, "tc\

^q\l no_ 0* l*LI

lt

nI

. .{ l^n llJAUIa*r

:.-c

- iC a-flJ ln-

l* \:-I

Jila-r,.t_ ^ci O_

Vtso3

fTlcct

1alclqI \--/.\..--.-J

j

';cic

)tht\lsl(_'-i

t-+a

c6

lr)

nUA-

q_i

Ieklc

tt ,.

SdI

tl

l' J<lv (1

\v l^ d\\ -'--. I ' ...i g'\^.,, -l \ N._ILL I ^-l_ l+,, JIAlu,t\)

oc{

olc.*

It

\?

NI

c

Page 42: Aero Engineering Thermodynamics 9

:

i

--- j"-{--1--.',.\

tui

(nil] tn ip.\ a - __ -ll :.lL/l (.J \/\l ii / 1 -1

Er#::i?t trFi 3d?S:t"Jt*:c-S's:i9ca.J ve . c oo r tsF itr Sv c "^.q r )': t C \i ! \ : itrr.' c t ; c a : ( + t -', y -c, y <( tv

( r i: i r : t r _$_ .s E : u F t t F a, :ri:rt{;E}.cct :inh$["S e{ $ ?* L i { c -s p c } t u +' _E-sc*g:r 9 s 1r-:: : t ,p a, o p fl R y 3 c c

-gr-SI-<'r**CCl'l-Jc-r< r;'r ::i6 Xc E h ti =_; s cCl rvr

Fl S".J \: e' .t dcs u q)

ri e ?:-c'iFcr,,;-!i€ '*Eliliti \- F .+ e) E c t'F ; o S{iti:,lrr-}P-rrii "({"1 < F < v' E C t F ; O : q " 5 L--

X\ i S C v Lf F av -lJ \L o u ,C c- \-r

-l F i E t E; s ; c e Y F d ; x L s € ; i ;FIO J\l >' ;. r:\,c O : : d d * ; \ E t C 3tl " 'r t; >

c,\ F q l : d * d - * s u

Al : n: id -c d r Y t % Y: Y Y t I d I :I ; : c- ; 3 c' "i p -.- -q .. : 3 d + 1 I o s i*l-;i;1-: evh63 +-iS"L t+ &!l g;i:EA-3!=$;^.! $i3i$;l a, i 6 ; J d : -< 3 -E- -tr oS +

-A

-{

Page 43: Aero Engineering Thermodynamics 9

.CJ(:u

-

s!-L

2srat "-'

IqcrF-).c{t, I Iappei\t-i -

__!-\^)aAl^Y

, \-l

tUa_ctL

l)c/r-

j

t

1

I

l1

L

:-

..

+l

nlAt-a'1"

: (, I

Jr-o

tl

c0-v\\lJ,'\) . )

dbv

a-(-)

v

wc

\t'^!\

- n \, I!(ca-\^\-\ , - -r J a

l>;4.\vsI a b t c _r:*F;"q'1cF\ii ( c S .tfqj J : d, >- d-is9 tsga:ev+

cU!qtV-*O+\'c d t.: r"-, :

^\)!4,.F.F\A^\r\vl 't- \\rt' - 'O C \4 \r'

+J";G+-a{o{\XdCelg d - "*f. { } {Yq'?\.clqJ=JAn.agAd+v-)"JXs c s ?'p g n v; sr : O: Io5'x_e a:: I c)v) t.:5 R-"r:-8\) t+:.o q oa€ sPSd Sqrd'f-

dic-r- j

l-_ \ r''rl

-\_ i

tl, r!,

(\./

ll <!

u-^\ \ v)v\;,UlJttr

/\tx* s-t-9Vnn cv vl

^:. a-r-/\rr

,-arp

\t- A-

I

rA,, I

IUH {iI

:

pl03 rI

I

rnrp^ Dl0j ;U/tltJ,l ' I \

uotsLiedxi

\-/

.icssa,fl .l,I0l-3i i

e paaj L PAOJ

Page 44: Aero Engineering Thermodynamics 9

\, (<.L-l-i;.!

dtCc.1,L

-);L'{, e

-L r_

B

c-rS L

Q,((_

-(J-)p

CJ

?

'1-Q-J

C.t

a'.c

c<\OLD'\ "!

t-\

\./ _1-

U\

r\ -LCr\! (

,U(\,

.!

v^t

-t--ie

oCs

n-L(\

Uc

C

L'

J

l_

g

C(-,

O

c-l(

'!(\

a;,

Erqldl-f

a\dU

-s-Jd\f,

,/")

. -o'-ccJ

-(l \\vtco, c.

hv

lc{

,ivt\v)

('-a\J

! (.)

.\OwdFon)(-")uCI

^-r! (*

l.

,}q.J

\-C

dS

+o)

4-q)

\-?U:

q)to

o-3

:

i"

a-S

L;: -cX-\itf..

: :. t. F Fs10,/!Ja.\

_iJq,6_\J

'r-wC'^)

i'; b E: i tal*rr*qv!^cdcL !: \ i i-\(\-)\)x.srCsct o.., ,qqbes\vS v c-\'= C :/1 -'J'el-*'l\-r':ich:q)a-v-L?<.a\-'rC.-vNC=n\i\JX t qr rh: +\-Lot^{-r\")x^^1\'vs\gou:-i^ j c m E=\- I q/ \Jl a- O{n'r--c:.-\i-sucL

'ay<JCOIC_:

,rL>'-!LS

1-LL

>(tqif. o

I-c

FJ-

,':c c*(\J

1.-cIa'1 (-J)"

\\,{srcect-r9\

c_ >Jt oIaY$

?:^)Ja)\-]C(-1I o-tJ-N\^lvt\

U!){{>

ep\vv<vv!

ueCrl a

Ca/f,?E\!

U

\s\}t-

c"v1

"Lok_!

rt+lL^

(1 ,

c):-\JCaeQv.l

Page 45: Aero Engineering Thermodynamics 9

tLl

c\ro

00

I

tJ,

t-

YI-:;fr\, \/

,Vc\

. ti

a{t

D

ij.-

ci

-s

fl*+ Y : a"--J $) ; $\cl(Y'+t--

$ - r

:ln,qT\:r!{l-"+!DJNtl

-cri;tlrrO-l F nl(n:fFtt"t'd

a.ry.$:cl

v)

1t

v)

U

o$,t ,lSc|-.*, d t-\ f0r- \--/bi.t_

llL

b=+_

\)v(oo +d srtd=Or*- 0{ J 1r

r)/>NEF F

-{- €

A

v

€st:$

A

,Tl.a','Aarvdr4c ts{ b yaiorVdn .o t'c ;' (v

^- n^ ;'r) t $o 'ti w r(:: :r\ i o- : X h\4 ^l

*af\ r m S o o- lz-\lll:l _1 c\ r *r ai-C T a, F{-

"dcl\-Cl

-E (r

G7a;'[rt, _C .J _c\ :Lr (. o) ii

^-VS- tl --\-anl\-) -c --c EextL

$)'ctO6Q.')

.Ev

A1

tl

Aov

J-c

,ttso'r

\C \FJ-qJ

lt

Ja/

\./

srgl-{._sds).E-t-AJA.

'r)s].'rror- l cor0 L: :1_.2tm v P,rU\TL4

rJJ "O ,' Oe:- ir r{l O\J t-2.J!rla.) t* 1ls)lr-E\-it^t-

Lu0/

AZ

s

nt

I

JJ

eq

-c

4- 6-

-(J-q

!ct _+*_ __ _1 _EI\l

Page 46: Aero Engineering Thermodynamics 9

trv\ot'i.-

\9co!

a\ hx"rclC^c ._"x.ftl

i.l(A

61, \o>\ t^.1\ \)G-\ IXrl-I l( t4- l^ U

> l!.

^-t xtlVV

Lt

t\-{l

.JI

v<- '{

^<1\-_a-t.vF-r.-

\),{t<vsw.' v

4-,-J

\CI'o

;\oIr

J(ilr0

C;

3

a

<'

)

V-o

-J-

aC

{q

L,

na,

ryLI

v$o

C0tsL

+ ji,6T'.J

'1 S-clt- .--\

I+

LJ.

<----\

.l cI

9ls \---lJ

LI

,JI-t-

rD1j*i* $,l*

d9Ejo

tor)

q{d.:enP U*; e tttcdC',q\jm$tLt-\,j(-t

s3"; F $;eb t^ S !Jl,tl,Jt€ L-C{ S 6

i.A

il;rll

c)t

lacr lc-

rel_ -lLc- t\

Cq

, - t-^ Cf'-L.IC-Ec\ .J

x Lr\

-rudo -- \J ccjv-><.\

\-/ c(rl (J

tlal oJcl <_

c\c6

cO

:(r-Oo

c"lc\\0

tl

-tsfv

t-c-olaq{- llrl -

(.-

s

Page 47: Aero Engineering Thermodynamics 9

:'

:-

crO'C\]

\co

NI

ft.f/.-qiil\-/ a

'::'

\l

(_^c-1

CJ

JLL

J C,

o ola-

JIt-o,

Cr'

:\

iJ

.\e_c-

r,

qrc.C+

t-iL

a,

'4\ i t t'l J r1

L I r\ v

'^\u u T-

e lro - {\ u- 1\- l) *o\ -t e-$\ cn co'E\t

qtt < ,,

\ r'\>

lfb\J^co 5i e!-n"\)Ol. {F\JL3anud

qFs

lq'{a!)

\C-

YVw\Jo-F

\{:s-\

\+le{l

'laxc\)\J

{-JrqJ

U

I

adt

r-?\_)

.i, Ia\JIolnl

I

JF(!

!c\

cQg

t 'i:

OIx tt-

.\9l--l r !.Jl* '()-t: i- I

--- 'l:t. ll$

{J

x'L,-'

1<terl<l-|

Jo r-.<

I

30/_qa_L

^lr^ll'^l.X ^l Att

Fo

qla\o\)

-v>.o?g

JIU

{-q_o !4{\ i TI: !.

.l o;T- - '\ YI- rF

"a;g:'AI" a\:tX-or.a.nD.r f1 :94irro]. t

^-ld; -3 F- d ., c$la L:'i ,, r . SitJ ; d E.! Flrd

(J Tr^c\! ^i_

ldl'Tc \--'/ pq L---) \JF)

tl

<-nr.-.-;---t'l,t\ai.