wind tunnels: experiments low speed tunnel observations

142
Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS Forms of Aerodynamic Experiments Observations Measurement Objectives History: Wright Brother‘s Wind Tunnel Model Testing Wind Tunnel Principles Scaling Laws Scale Parameters Geometric Similarity Kinematic Similarity Dynamic Similarity Wind Tunnels: Low Speed Tunnel High Speed Tunnels Transonic Supersonic Hypersonic Tunnels Shock Tubes Special Tunnels: Low Turbulence Tunnels High Reynolds Number Tunnels Environmental Tunnels Automobile Tunnels Distinctive Features Application

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Page 1: Wind Tunnels: Experiments Low Speed Tunnel Observations

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Forms of Aerodynamic

Experiments

Observations

Measurement Objectives

History:

Wright Brother‘s Wind

Tunnel

Model Testing

Wind Tunnel Principles

Scaling Laws

Scale Parameters

Geometric Similarity

Kinematic Similarity

Dynamic Similarity

Wind Tunnels:

Low Speed Tunnel

High Speed Tunnels

Transonic

Supersonic

Hypersonic Tunnels

Shock Tubes

Special Tunnels:

Low Turbulence Tunnels

High Reynolds Number

Tunnels

Environmental Tunnels

Automobile Tunnels

Distinctive Features Application

Page 2: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Forms of Aerodynamic Experiments

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Six component force tests

Internal balance tests

Pressure tests

Flow Visualization

Tests

Page 3: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Observations

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Aerodynamic behaviour of Various Geometry

Pressure Behaviour

Control Behaviour

Flow Visualisation Behaviour

Page 4: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Measurement Objectives

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Various Testing Methods

Model mounting Methods

Testing Tools and Application

Various Types Wind Tunnel

Page 5: Wind Tunnels: Experiments Low Speed Tunnel Observations

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The Wrights large wind tunnelAfter building and testing a small wind tunnel, the Wright brothers completed a larger, more sophisticated one in October 1901. They used it extensively to carry out aerodynamic research that proved essential in designing their 1903 airplane.

The wind tunnel consisted of a simple wooden box with a square glass window on top for viewing the interior during testing. A fan belted to a one-horsepower engine, which ran the machinery in their bicycle shop, provided an airflow of about 30 miles per hour.

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Wright Brother‘s Wind Tunnel

Page 6: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Wright wind tunnel balancesWhat made the Wrights’ wind tunnel unique were the instruments they designed and built to measure lift and drag. Called balances, after the force-balancing concept, these instruments measured the forces of lift and drag acting on a wing in terms that could be used in the equations.

The balances are made from old hacksaw blades and bicycle spokes. Their crude appearance belies their sophisticated design. Largely the work of Orville, they represent a solid understanding of geometry, mathematics, and aerodynamic forces, and illustrate the Wrights’ engineering talents at their finest.

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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History: Wright Brother‘s Wind Tunnel

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Page 8: Wind Tunnels: Experiments Low Speed Tunnel Observations

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At the end of the summer of 1901, the Wright brothers were

frustrated by the flight tests of their 1901 glider. The aircraft was

flown frequently up to 300 feet in a single glide. But the aircraft did

not perform as well as the brothers had expected. The aircraft only

developed 1/3 of the lift which was predicted by the lift

equation using Lilienthal's data. During the fall of 1901, the

brothers began to question the aerodynamic data on which they

were basing their designs. So, they decided to conduct a series

of wind tunnel tests to verify the results they were experiencing in

flight. They would measure the aerodynamic lift and drag on

small models of their wing designs using a wind tunnel in their

bicycle shop at Dayton, Ohio. They built two separate balances to

perform these measurements, one for lift and the other for drag.

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Model Testing

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Aero Dynamic Force And Moments

Model Size

Model Geometry

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Wind Tunnel Principles

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Low Speed Wind Tunnel and Major Parts

Honey comb & Screen

Contraction

Test Section

Diffuser

Fan or Driving Unit

Silencer

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Scaling Laws

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Astronomical Scaling ->

Gravitational forces dominate on an astronomical scale

(e.g., the earth 1 moves around the sun), but not on smaller scales

Macro and Micro Scaling

Geometry Scaling

Two types of scaling laws:

1. The first type: Depends on the size of physical objects.

2. The second type: Involves both the size and material properties of the system.

Summary

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Scaling in Geometry

Surface and volume are two physical quantities that are frequently

involved in micro-device design.

- Volume: related to the mass and weight of a device,

which are related to both mechanical and thermal

inertial. (thermal inertial: related to the heat capacity

of a solid, which is a measure of how fast we can

heat or cool a solid. → important in designing a

thermal actuator)

- Surface: related to pressure and the buoyant forces

in fluid mechanics, as well as heat absorption or

dissipation by a solid in convective heat transfer.

Scaling Laws

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Surface to volume ration (S/V ratio)

S ∝ l2 ; S ∝ l3

S/V∝ l - 1

- As the size l decreases, its S/V ratio increases

Scaling Laws

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Scale Parameters

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Let f(x) be any pdf. The family of pdfs

f(x) indexed by parameter is called

the location family with standard pdf f(x)

and is the location parameter for the

family.

Equivalently, is a location parameter for

f(x) iff the distribution of X does not

depend on .

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Page 19: Wind Tunnels: Experiments Low Speed Tunnel Observations

Example If X~N(θ,1), then X-θ~N(0,1) distribution is

independent of θ. θ is a location

parameter.

If X~N(0,θ), then X-θ~N(-θ,θ) distribution

is NOT independent of θ. θ is NOT a

location parameter.

19

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Geometric Similarity

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Two objects are similar if they both have the same shape, or one has

the same shape as the mirror image of the other. More precisely, one

can be obtained from the other by uniformly scaling (enlarging or

reducing), possibly with additional translation, rotation and reflection.

This means that either object can be rescaled, repositioned, and

reflected, so as to coincide precisely with the other object. If two

objects are similar, each is congruent to the result of a particular

uniform scaling of the other.

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Geometric Similarity

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Kinematic Similarity & Dynamic Similarity

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Kinematic similarity – fluid flow of both the model and real

application must undergo similar time rates of change

motions. (fluid streamlines are similar)

Dynamic similarity – ratios of all forces acting on

corresponding fluid particles and boundary surfaces in

the two systems are constant.

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Wind Tunnels:

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Low Speed Tunnel

High Speed Tunnels

Transonic

Supersonic

Hypersonic Tunnels

Shock Tubes

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Low Speed Tunnel

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Open-circuit

Tunnels

Closed-circuit Wind

Tunnel

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High Speed Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

1. 0.8 < M < 1.2 Transonic tunnel

2. 1.2 < M < 5 Supersonic tunnel

3. M > 5 Hypersonic tunnel

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Transonic Windtunnel

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Transonic Windtunnel

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Supersonic

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Blowdown–Type Wind Tunnels

Induction–Type Tunnels

Closed-circuit Wind Tunnels

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Blowdown–Type Wind

Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Hypersonic Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Shock Tubes

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Special Tunnels:

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Special Tunnels:

Low Turbulence Tunnels

High Reynolds Number Tunnels

Environmental Tunnels

Automobile Tunnels

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Low Turbulence Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Page 37: Wind Tunnels: Experiments Low Speed Tunnel Observations

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High Reynolds Number Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Environmental Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Automobile Tunnels

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

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Application

Unit-I FUNDAMENTALS OF EXPERIMENTS IN AERODYNAMICS

Page 41: Wind Tunnels: Experiments Low Speed Tunnel Observations

Unit-II WIND TUNNEL EXPERIMENTATION CONSIDERATIONS

Low Speed Wind Tunnels

Page 42: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Principal Components

Unit-II

Settling Chamber

Contraction Cone

Test Section

Diffuser

Drive Section.

Page 43: Wind Tunnels: Experiments Low Speed Tunnel Observations

Corners

Abrupt Corner without Vanes 0.1

Unit-II

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Function

Unit-II

Stilling Section - Low speed and uniform flow

Screens - Reduce Turbulence [Reduces Eddy size for Faster Decay]

- Used to obtain a uniform test section profile

- Provide a flow resistance for more stable fan operation

Honeycomb - Reduces Large Swirl Component of Incoming Flow

Page 45: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Test SectionTest Section - Design criteria of Test Section Size and Speed Determine Rest of

Tunnel Design

Test Section Reynolds Number

Larger JET - Lower Speed - Less Power - More Expensive

Section Shape - Round-Elliptical, Square, Rectangular-Octagonal with flats for

windows-mounting platforms

Rectangular with filled corners

Not usable but requies power

For Aerodynamics Testing 7x10 Height/Width Ratio

Test Section Length - L = (1 to 2)w

Unit-II

Page 46: Wind Tunnels: Experiments Low Speed Tunnel Observations

Energy Ratio

P

AUqAURE t

Losses

2/1

LossesCircuit

EnergyJet .).( 0000

3

00

Subscript 0 refers to the test section

P is the motor power

is the fan efficiency

Unit-II

Page 47: Wind Tunnels: Experiments Low Speed Tunnel Observations

47

Design Requirements

Unit-II

Page 48: Wind Tunnels: Experiments Low Speed Tunnel Observations

Losses

q

ppK tt 21 Local Pressure Loss Coefficient

00

210

q

qK

q

ppK tt

Pressure Loss Referred to Test Section

0

3

000 2/1 AUKE Section Energy Loss

00

3

000

0

3

00 1

2/1K

2/1

LossesCircuit

EnergyJet .).(

KAU

AURE t

Unit-II

Page 49: Wind Tunnels: Experiments Low Speed Tunnel Observations

49

Constraints And Loss Coefficients.

Unit-II

Example Open Return Tunnel

Section Ko % Total Loss

1 Inlet Including Screens .021 14.0

2 Contraction and Test Section .013 8.6

3 Diffuser .080 53.4

4 Discharge at Outlet .036 24.0

Total .150 100.0

67.6150.

11.).(

0

K

RE t

Page 50: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Wind Tunnel Performance Flow Quality

Unit-II

Page 51: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Power Losses

Unit-II

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Wind Tunnel Corrections

Unit-II

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Sources of Inaccuracies

Unit-II

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Unit-II

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Buoyancy

Unit-II

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Solid Blockage

Unit-II

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Wake Blockage

Unit-II

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Streamline Curvature Causes

Unit-II

Page 59: Wind Tunnels: Experiments Low Speed Tunnel Observations

Unit-III

WIND TUNNEL BALANCE

Load Measurement:

1. Low Speed Wind Tunnel Balances

2. Mechanical & Strain Gauge Types

3. Null Displacement Methods &

Strain Method

4. Sensitivity

5. Weigh Beams

6. Steel Yard Type

7. Current Balance Type

8. Balance Linkages

9. Levers and Pivots

Model Support

1. Three Point Wire Support

2. Three Point Strut Support

3. Platform Balance

4. Yoke Balance

5. Strain Gauge

6. 3-component Strain Gauge

Balance

7. Description and Application

Page 60: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Balance Linkages, Levers And Pivots

Unit-III

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Model Support Three Point Wire Support

Unit-III

3-component strain gauge balance

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Three Point Strut Support

Unit-III

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Platform Balance

Unit-III

Page 66: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Yoke Balance

Unit-III

Page 67: Wind Tunnels: Experiments Low Speed Tunnel Observations

67

Strain Gauge

Unit-III

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3-component Strain Gauge Balance

Unit-III

Page 69: Wind Tunnels: Experiments Low Speed Tunnel Observations

Unit-IV PRESSURE, VELOCITY & TEMPERATURE MEASUREMENTS

Pressure

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Static Pressure

Unit-IV

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Surface Pressure Orifice

Unit-IV

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Static Probes

Unit-IV

Page 73: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Pitot Probe For Total Pressure

Unit-IV

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Static Pressure and Flow Angularity

Unit-IV

Page 75: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Pressure Sensitive Paints

Unit-IV

Page 76: Wind Tunnels: Experiments Low Speed Tunnel Observations

76

Steady And Unsteady Pressure Measurement

Unit-IV

Page 77: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Various Types of Pressure Probes

Unit-IV

Page 78: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Transducers

Unit-IV

Page 79: Wind Tunnels: Experiments Low Speed Tunnel Observations

79

Transducers

Unit-IV

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Errors in Pressure Measurement

Unit-IV

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Temperature

Unit-IV

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Measurement of Temperature using Thermocouples

Unit-IV

Page 84: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Resistance Thermometers

Unit-IV

Page 85: Wind Tunnels: Experiments Low Speed Tunnel Observations

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Temperature Sensitive Paints

Unit-IV

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86

Liquid Crystals

Unit-IV

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Boundary Layer Profile Using Pitot Static Probe

Unit-IV

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5 Hole Probe Yaw Meter

Unit-IV

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Total Head Rake

Unit-IV

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90

Hot Wire Anemometry

Unit-IV

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91

Laser Doppler Anemometry

Unit-IV

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92

Particle Image Velocimetry

Unit-IV

Page 93: Wind Tunnels: Experiments Low Speed Tunnel Observations

Vector Visualization Data set is given by a vector component and its

magnitude

often results from study of fluid flow or by looking at derivatives (rate of change) of some quantity

trying to find out what to see and how!

Many visualization techniques proposed

Unit-IV

Page 94: Wind Tunnels: Experiments Low Speed Tunnel Observations

Vector Visualization - Techniques

Hedgehogs/glyphs

Particle tracing

stream-, streak-, time- & path-lines

stream-ribbon, stream-surfaces, stream-

polygons, stream-tube

hyper-streamlines

Line Integral Convolution

Unit-IV

Page 95: Wind Tunnels: Experiments Low Speed Tunnel Observations

Vector Visualization - Origin

Where are those methods coming from??

Rich field of Fluid Flow Visualization

Hundreds of years old!!

Modern domain - Computational Field Simulations

Unit-IV

Page 96: Wind Tunnels: Experiments Low Speed Tunnel Observations

Flow Visualization

Gaseous flow:

development of cars, aircraft, spacecraft

design of machines - turbines, combustion

engines

Liquid Flow:

naval applications - ship design

civil engineering - harbor design, coastal

protection

Chemistry - fluid flow in reactor tanks

Medicine - blood vessels, SPECT, fMRI

Unit-IV

Page 97: Wind Tunnels: Experiments Low Speed Tunnel Observations

Flow Visualization (2)

What is the problem definition?

Given (typically): physical position (vector)

pressure (scalar),

density (scalar),

velocity (vector),

entropy (scalar)

steady flow - vector field stays constant

unsteady - vector field changes with time

Unit-IV

Page 98: Wind Tunnels: Experiments Low Speed Tunnel Observations

Flow Visualization - traditionally

Traditionally - Experimental Flow Vis

How? - Three basic techniques:

adding foreign material

optical techniques

adding heat and energy

Unit-IV

Page 99: Wind Tunnels: Experiments Low Speed Tunnel Observations

Experimental Flow Visualize.

Problems:

the flow is affected by experimental

technique

not all phenomena can be visualized

expensive (wind tunnels, small scale

models)

time consuming

That’s where computer graphics and

YOU come in!

Unit-IV

Page 100: Wind Tunnels: Experiments Low Speed Tunnel Observations

Vector Field Visualization Techniques

Local technique: Advection based methods -Display the trajectory starting from a

particular location

- streamxxxx

- contours

Global technique: Hedgehogs, Line Integral Convolution,

Texture Splats etc.

Display the flow direction everywhere

in the field

Unit-IV

Page 101: Wind Tunnels: Experiments Low Speed Tunnel Observations

Local technique - Streamline

• Basic idea: visualizing the flow directions by releasing particles and

calculating a series of particle positions based on the vector field --

streamline

dsvsxxtxvds

xd)(or, 0

Unit-IV

Page 102: Wind Tunnels: Experiments Low Speed Tunnel Observations

Numerical Integration

Euler

not good enough, need to resort to

higherorder methods

dsvsxxtxvds

xd)(or, 0

ssxvsxssx

Unit-IV

Page 103: Wind Tunnels: Experiments Low Speed Tunnel Observations

Numerical Integration

2nd order Runge-Kutta

sssxvsxv

sxssx

2

*

ssxvsxssx *

Euler Runge-Kutta

Unit-IV

Page 104: Wind Tunnels: Experiments Low Speed Tunnel Observations

Numerical Integration

4th order Runge-Kutta

sxvsxx

sxvsxx

sxvsxx

sxx

xvxvxvxvxssx

23

12

01

0

32100

21

21

226

1

Unit-IV

Page 105: Wind Tunnels: Experiments Low Speed Tunnel Observations

Streamlines

- Displaying streamlines is a local technique because you can

only visualize the flow directions initiated from one or a few

particles

- When the number of streamlines is increased, the scene

becomes cluttered

- You need to know where

to drop the particle seeds

- Streamline computation is

expensive

Unit-IV

Page 106: Wind Tunnels: Experiments Low Speed Tunnel Observations

Pathlines, Timelines

-Extension of streamlines for time-varying data (unsteady flows)

Pathlines:

Timelines:

T=1

T=2

T=3 T=4

T=5

T = 1 T = 2 T = 3

timeline

Unit-IV

Page 107: Wind Tunnels: Experiments Low Speed Tunnel Observations

Streakline

- For unsteady flows also

- Continuously injecting a new particle at each time step,

advecting all the existing particles and connect them

together into a streakline

b.t. =5

b.t. =4

b.t. =3

b.t. =2 b.t. =1

Unit-IV

Page 108: Wind Tunnels: Experiments Low Speed Tunnel Observations

Advection methods comparison

Unit-IV

Page 109: Wind Tunnels: Experiments Low Speed Tunnel Observations

Stream-ribbon

We really would like to see vorticities, I.e. places were the flow twists.

A point primitive or an icon can hardly convey this

idea: trace neighboring particles and connect them with polygons

shade those polygons appropriately and one will detect twists

Unit-IV

Page 110: Wind Tunnels: Experiments Low Speed Tunnel Observations

Stream-ribbon

Problem - when flow diverges

Solution: Just trace one streamline and a

constant size vector with it:

Unit-IV

Page 111: Wind Tunnels: Experiments Low Speed Tunnel Observations

Stream-tube

Generate a stream-line and connect

circular crossflow sections along the

stream-line

Unit-IV

Page 112: Wind Tunnels: Experiments Low Speed Tunnel Observations

Stream-balls

Another way to get around diverging

stream-lines

simply put implicit surface primitives at

particle traces - at places where they are

close they’ll merge elegantly ...

Unit-IV

Page 113: Wind Tunnels: Experiments Low Speed Tunnel Observations

Flow Volumes

Instead of tracing a line - trace a small

polyhedra

Unit-IV

Page 114: Wind Tunnels: Experiments Low Speed Tunnel Observations

Contours

Contour lines can measure certain

quantities by connecting same values along

a line

Unit-IV

Page 115: Wind Tunnels: Experiments Low Speed Tunnel Observations

Mappings - Hedgehogs, Glyphs

Put “icons” at certain

places in the flow

e.g. arrows - represent

direction & magnitude

other primitives are

possibleorientedlines

glyphs

vortex

Unit-IV

Page 116: Wind Tunnels: Experiments Low Speed Tunnel Observations

Mappings - Hedgehogs, Glyphs analogous to tufts or vanes from

experimental flow visualization

clutter the image real quick

maybe ok for 2D

not very informative

Unit-IV

Page 117: Wind Tunnels: Experiments Low Speed Tunnel Observations

Global Methods

Spot Noise

(van Wijk 91)

Line Integral

Convolution

(Cabral 93)

Texture Splats

(Crawfis 93)

Unit-IV

Page 118: Wind Tunnels: Experiments Low Speed Tunnel Observations

Spot Noise

Uses small motion blurred particles to

visualize flows on stream surfaces

Particles represented as ellipses with

their long axes oriented along the

direction of the flow

I.e. we multiply our kernel h with an

amplitude and add a phase shift!

Hence - we convolve a spot kernel in

spatial domain with a random sequence

(white noise)

Unit-IV

Page 119: Wind Tunnels: Experiments Low Speed Tunnel Observations

Rendering - Spot Noise

Different size Different profiles

Unit-IV

Page 120: Wind Tunnels: Experiments Low Speed Tunnel Observations

Rendering - Spot Noise

bla

Unit-IV

Page 121: Wind Tunnels: Experiments Low Speed Tunnel Observations

Rendering - Spot Noise

Scalar - use +-shape for

positive values, x-shape

for negative values

change the size of the

spot according to the

norm of the gradient

vector data - use an

ellipse shaped spot in

the direction of the

flow ...

scalar gradients

flow Velocity potential

Unit-IV

Page 122: Wind Tunnels: Experiments Low Speed Tunnel Observations

Rendering - LIC

Similar to spot noise

embed a noise texture under the vector field

difference -integrates along a streamline

LIC Spot Noise

Unit-IV

Page 123: Wind Tunnels: Experiments Low Speed Tunnel Observations

Texture Splats

Crawfis, Max 1993

extended splatting to visualize vector

fields

used simple idea of “textured vectors”

for visualization of vector fields

Unit-IV

Page 124: Wind Tunnels: Experiments Low Speed Tunnel Observations

Texture Splats - Vector Viz

The splat would be a Gaussian type texture

how about setting this to an arbitrary image?

How about setting this to an image including some elongated particles representing the flow in the field?

Texture must represent whether we are looking at the vector head on or sideways

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Texture Splats

Texture images Appropriate opacities

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Texture Splats - Vector Viz

How do you get them to “move”?

Just cycle over a periodic number of

different textures (rows)

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More global techniques

Texture Splats

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Spot Noise

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Line bundles

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Time Lines, Tufts

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China Clay

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Oil Film

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Smoke

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Hydrogen Bubble

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Optical Methods:

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Density and Refractive Index

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Schlieren System

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Convex Lenses

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Concave Mirrors

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Shadowgraph

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Interferometry

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