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BLOWER BALANCE FOR SMALL ASPECT RATIO
SUMMARY:
The equipment has been designed as an experimental unit to study
the Co-efficient of Lift and Co-efficient of Drag for different aspect ratios of the
model. The test rig essentially consists of axial blower handling the air as the
medium of flow and is driven by AC Motor. The test rig has provisions for
varying the parameters, viz., speed, in turn flow and head. The specially
designed AC electric drive facilities the accurate calculations of input
horsepower to blower.
Aspect ratio = b2/s ; b = breadth of the model,
s = Area of the model(Span)
SPECIFICATIONS:
1.BLOWER TYPE : a) Axial with circular duct for (Delivery & Suction)
b) Operated at 60Hz.
2.MOTOR : AC Motor with thyristor speed controller (AC Drive)
3.DRIVE : AC. type
4.ELECTRICAL : Single ph, 220 V, AC supply with Neutral and
INPUT TO and Earth
THE CONSOLE
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PROCEDURE:-
1. Keep the model in testing area
2. Set the model to required angle up to 15()
3. Switch on the console
4. Switch on the blower motor and rotate the speed regulator knob to fullspeed
5. Note down the lift, drag & air velocity for zero angle of attack
6. Repeat the experiment for different angle of attack
Note: 1.During the adjustment of angle the direction of Angle is Positive
towards top and Negative towards down.
2. The Experiment is conducted using suction flow.
TABULAR COLUMN
Model Lift
in
Kg
Drag
in
Kg
Air
velocity
In
m/sec
Angle
of
attack
Coefficient
of Lift
CL
Coefficient
of Drag
CD
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DIAGRAM
(+)
b
C (-)
FORMULAE USED:
L
Coefficient of Lift CL = -----------------
()V2S
D
Coefficient of Drag CD = ----------------
()V2S
Where,
b = breadth of the model
= Density of air =1.1kg/m3S = Area of the model (Span)
V = Velocity of air m/sec
D = Drag force in Kg
L = Lift force in Kg
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TABLE OF READINGS AND CALCULATION:
SAMPLE CALCULATION:
L L = Lift force in Kg
Coefficient of Lift CL = ----------------- D = Drag force in Kg
1/2V2
S
0.94
= -------------------------------------- = 0.5930.5 1.1 (8)
2 0.49 x 0.1
V = Velocity of air m/sec
S = Span of the model=b x C
b = breadth of the model
BLOWER BALANCE
Velocity = 8 m/s
ModelAngle ofattack Lift Drag Span
Co-efficientof LiftCL
Co-efficientof DragCD
20 0.94 0.54 0.045 0.5934343 0.340909
15 0.88 0.5 0.045 0.5555556 0.315657
10 0.64 0.31 0.045 0.4040404 0.195707
5 0.48 0.23 0.045 0.3030303 0.145202
0 0.2 0.11 0.045 0.1262626 0.069444
-5-
0.18 0.12 0.045 -0.1136364 0.075758
-10-
0.34 0.19 0.045 -0.2146465 0.119949
-15 -0.53 0.28 0.045 -0.3345960 0.176768
SYMMETRICALAEROFOIL
-20-
0.85 0.47 0.045 -0.5366162 0.296717
20 0.03 0.13 0.049 0.0173933 0.075371
15 0.18 0.04 0.049 0.1043599 0.023191
10 0.16 0.08 0.049 0.0927644 0.046382
5 0.3 0.17 0.049 0.1739332 0.098562
0 0.56 0.32 0.049 0.3246753 0.185529
-5 -0.6 0.21 0.049 -0.3478664 0.121753
-10-
0.86 0.34 0.049 -0.4986085 0.197124
-15-
1.05 0.56 0.049 -0.6087662 0.324675
SYMMETRICALAEROFOIL
-20-
1.29 0.74 0.049 -0.7479128 0.429035
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C = Chord of the aerofoil
= Density of air = 1.1kg/m3
D
Coefficient of Drag CD = ------------
1/2V2
S
0.54
= -------------------------------------------- = 0.340
0.5 1.1 (8)2 0.490.1
GRAPHS:
HELE-SHAW APPARATUS
Hele-Shaw flow is produced by forcing a liquid through a thin gap
between parallel plates. An example of Hele-Shaw flow is provided inFig. for flow over an inclined plate. Streak lines are generated byintroducing dye at evenly spaced points upstream of the field of view.Since the flow is steady, the streak lines are coincident with streamlines.The fluid is water and the acrylic plates are 1.0mm apart.
Assumptions:1. The flow is steady.2. The flow is incompressible.
3. The flow model two-dimensional potential flow in the xy-plane.
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Analysis: When equally spaced streamlines of a stream function spreadaway from each other, it indicates that the flow speed has decreased inthat regain likewise, if the streamlines come closer together, the flow
speed has increased in that region. In Fig. we infer that the flow farupstream of the plate is straight and uniform, since the streamlines areequally spaced. The fluid decelerates as it approaches the underside ofthe plate, especially near the stagnation point, as indicated by the widegap between streamlines. The flow accelerates rapidly to very highspeeds around the sharp corners of the plates indicated by the tightlyspaced streamlines.Potential flow theory: This theory gives the definition of stream lines as
lines which shows the direction of the flow of fluid at any particularmoment. A flow entirely free from vortices or vorticity of any kind issaid to be irrotational or potential flow. The principle of superposition isalso defined on the basis of this theorem. The stream function for a flowdefined by superimposing two other flows upon one another is sum ofstream function of the two components of the flow. This is known asprinciple of superposition. The basic equation of potential flow theory isas follows.2 2
+ x2 y2Where is the stream function.
VOLUME FLOW RATE DEDUCTED FROM STREAMLINES
Water is sucked through a narrow slot on the bottom wall of a water
channel. The water in the channel flows from left to right at uniformvelocity ,the slot is perpendicular to the xy-plane, and runs along the z-axisacross the entire channel, which is w = 2.0m wide. The flow is thusapproximately turn two-dimensional in the xy-plane. Severalstreamlines of the flow rate plotted and labeled in Fig.
The thick streamline in Fig. is called the dividing streamline because itdivides the flow into two parts. Namely, all the water below this
dividing streamline gets sucked into the slot, while all the water above
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the dividing streamline continues on its way downstream. For the givenset of streamlines, we are to determine the volume flow rate through theslot and estimate the fluid speed at a point.
Analysis: By Fig., the volume flow rate per unit width between the
bottom wall (wall = 0) and the dividing streamline (dividing= 1.0 m2/s) is
V
dividing - wall = (1.0-0)m2/s = 1.0m2/s
w
All of this flow must go through the slot. Since the channel is 2.0m wide,the total volume flow rate through the slot is
VV = w = (1.0 m
2/s) (2.0m) = 2.0 m
3/s
w
To estimate the speed at pointA, we measure the distance between thetwo streamlines that enclose point A. We find that streamline 1.8 isabout 0.21 m away from streamline 1.6 in the vicinity of point A. Thevolume flow rate per unit width (into the page) between these twostreamlines is equal to the difference in value of the stream function. Wecan thus estimate the speed at pointA.
V 1 V 1 1
VA = = (1.8-1.6) = (1.8-1.6)m2/s = 0.95 m/s
w w 0.21 m
Our estimate agrees very well with the known free-stream speed (1.0m/s), indicating that the fluid in the vicinity of point A flows at nearlythe same speed as the free-stream flow, but points slightly downward.
The streamlines of Fig. were generated by superposition of a uniformstream and a line sink, assuming irrotational (potential) flow. Wediscuss such superposition.
Inlet valve
Drain valve inlet valve ( ink)
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Air out valve
Width of the test channel is 0.30 m
Gap of the test channel is 4 mm = 0.4cm = 0.04 m
Connect the inlet valve side to water source. Fix the aero foil (or any
other) model. Fill the die liquid in the funnel.
Keep air out valve, drain valve and inlet valve (ink) in closed position.By operating air out valve fill the gap test place with water. (Removal of
100 % air gap is not possible). Close the outlet valve.
Airs out has to be made by opening the air out valve and then close the
valve.
Inlet and outlet valve are to be opened partially (by experience) to get
proper flow pattern. Open inlet valve (ink) such a way the colors should
start in the straight line form. If required adjust inlet and outlet valve.
Observe thick line of 1 mm in upper side which has to be noted by
operator.
Any two stream light lines to be identified and note down the scale
reading (the operation to be fast). Also observe the eddy formation.
Collect 200 ml of water against time.
Close inlet valve and open outlet fully to drain the water.
Repeat the experiment for other models.
After the experiment see that the die line & the passage of 4 mm to be
cleaned by flushing the water. Clean water to be used to avoid clogging.
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SUBSONIC WIND TUNNEL
INTRODUCTION :
The information useful for solving aerodynamic problems
of Aeronautical, Space , Automobile and Civil Engineering structures, are
best obtained rapidly , economically and accurately by testing the scaled
models, and sometimes actual structure in Wind Tunnels .The size, thespeed and other environmental conditions of tunnel are determined by the
actual users problems .
Leaving the size and environmental to the actual users, the speed
determines the type of the tunnel namely, subsonic ( low speed ),Near-
sonic, Transonic, Super-sonic and Hyper-sonic. While the speeds of these
tunnels are obviously named with reference to the sonic ( sound ) velocity ,
the low speed ( subsonic ) tunnel which is of our concern is below 300 mph.
An alternative definition to the low speed tunnel would be the tunnel where
the compressibility of Air is negligible .
SPECIFICATIONS :
* TYPE OF TUNNEL : Low speed, Open circuit,
Suction type.
* TEST SECTION SIZE : 300 mm x 300 mm.
* CONTRACTION RATIO : 9 : 1
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* DRIVE : Axial Flow fan driven by AC
Motor (10 Hp)
with AC Drive for Speed Controlling
* POWER REQUIREMENT : AC. 3 ph, 440 V, 32 Amps
Electrical supply with Neutral & Earth
connection.
* MATERIAL OF Effuser, Diffuser : FRP
CONSTRUCTION : Blower Frames &
Supporting Frame: Mild Steel.
SPECIAL FEATURES:
* Tunnel does not need any civil work and easily transportable to any
place of convenience.
EXPERIMENTAL CAPABILITIES:
* Study of Lift, Drag & Side Forces : Symmetric, Cambered.
on Aerofoil
* Study of Drag on : Wedge, Flat Disc,
Bluff Bodies Automobile models.
* Study of Pressure Distribution : Symmetrical Aerofoil,
Unsymmetrical Aerofoil,
Smooth Cylinder
* Study of Smoke Pattern : Aerofoil, Cylinder,
Sphere & Hemisphere.
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MAIN PARTS:
Honeycomb inlet mesh screen, Effuser, Blower unit with ACmotor and thyristor controller, Three component like Lift, Drag, Side force
balances, Multi - tube manometer , Smoke generator constitute the complete
tunnel .
DESCRIPTION:
A. INLET DUCT (Effuser):It is aerodynamically contoured section with contraction area ratio
9: 1. The inlet starts with dimension of 900mm x 900mm contoured to
300mm x 300mm. The axial and lateral turbulence are reduced and smooth
flow of air entering the section is achieved by installing the Honey-combs
and screens , for most effectiveness of the air inlet . The ratio of length to
cell size of the Honey -comb is maintained as per the recommended
standards . The wire mesh is also fixed to smoothen the flow , futher . Thisis particularly useful for obtaining laminar flow. The screen is made removable
for possible cleaning. The duct is secured to the test section by flange. The
provision is also made for easy removal of Effuser and diffuser for
possible separation from the test section when required. It is also highly
smoothened and painted.
B. TEST SECTION:The central portion of the test section sandwiched
between the inlet duct ( Effuser ) and the diffuser using flange. It has
300mm x 300mm cross section (inside ) and 550mm length . Fixed with
transparent window on either side which facilitates fixing and viewing of
the models. This houses smoke chest fixing points.
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The traversing mechanism is fixed on its top of the movement of total
pressure probe .The holes provided for holding the models for different
studies and for taping out the pressure probes .
C. DIFFUSER:
The downstream portion of the tunnel is the diffuser .To
the end of this is attached an axial flow fan . The diffuser starts with
300mm x 300mm square section at the test section end and enlarges to
900mm diameter round at the fan driven end . It is flanged and bolted to the
test section.
D. AXIAL FLOW FAN UNIT:
The fan unit is independent stand alone type and does not
require any foundation . It is housed in rounded casing which is secured
to the diffuser . The bladed rotor is connected to AC motor directly coupled.
E. CONTROL CONSOLE:
The tunnel has two consoles, one for the air speed control (
AC motor Controller ) and the other for the indication of velocity head
and forces . The console which houses tyhristor speed controller
connected to AC motor by 3 ph, 440 V, AC supply . All safety precaution for
excessive electrical loading are provided.
F. ATTACHMENTS:
( i ) STRAIN GAUGE BALANCE :
This is housed beneath the test section portion. The
models are mounted on the vertical mechanical member called String. The
lift drag & side forces are measured using this unit.
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(ii) MULTI BANK MANOMETER:
This manometer is used for studying the pressure
distribution across the various models. This unit is mounted to the right of the
test section.
INSTALLATION:
The tunnel does not require any civil work whatsoever , and is
completely self reacting stand alone type .
Normally , the first time installation of the tunnel is done by
our experienced engineers , unless it is required to be re-installed in another
place . In the event of reinstallation, the assembly of the tunnel is to be
done by following the description explained in earlier pages .While installing the tunnel, the following things are to be borne in mind.
It is recommended to install the tunnel facing the inlet and the
exhaust ( blower side ) of the tunnel towards the windows . This is to
facilitate clear movement of air velocity at the test section and also
pushing out the smoke during the flow visualization experiment using
smoke generator .
The electric power supply to the control panel should be accordingto the specification .
PREPARATIONS & OPERATIONS:
a) WIND TUNNEL BALANCE :
The tunnel balance is three component type ( three forces )
designed using the electrical strain gauges to indicate separately on the
digital indicator. The balance is intended for indicating the Lift , Drag, Side
forces in case of aerofoils, and drag force only in case of bluff bodies,Viz.,
spherical, Hemi - spherical, Flat disc. These models are mounted on the string
(Vertical square rod) situated exactly beneath the test section. The output from
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the Lift, Drag, Side forces are connected to the respective multi - pin sockets
provided at control panel.
b) SMOKE GENERATOR:
The smoke generator unit is used for producing the dense white
smoke , for the purpose of flow visualization across the models .
Essentially , it consists of electrical cartridge heater , over head diesel
bottle , sump bottle , air supply pipe from blower and smoke distributor .
Keep the needle valve closed. Fill the over head bottle with diesel
and check the level . Fix the smoke distributor at the starting portion of
the test section . Connect the hose pipe of the distributor to the smoke
generator. Connect the electrical supply of the cartridge heater .Fix the
required model in the test section, cover the back side of the test section
with the black cloth . Connect the air inlet to the smoke generator. Initiallyopen the needle valve and allow the diesel to pass through the heater
(Thus soaking the heater unit) to the sump bottle . Now switch ON the heater
control unit and keep it at maximum . After the initial heating is done the
smoke starts coming out of the smoke distributor. Now decrease the heating
and balance
the heating & the diesel drip in such a way that the continuous dense
smoke starts coming out of the distributor . ( If more smoke has to be
forced out of the distributor , the air inlet pipe of the smoke generator may
be connected to air compressor unit , where higher forcing pressure is
available ) . Switch ON the blower ,adjust the valve to get the uniform &
visible smoke across the models . The unused diesel collected in the sump
bottle may be put back to over head bottle .
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After the experiment is over, close the needle valve , switch
OFF the heater , controller , and allow the blower to run for sometime to
drive out unused smoke .
During the experiment check blockage of condensed oil in the
smoke outlet pipe leading to the distributor and drain it to the sump bottle .
c) MULTI TUBE MANOMETER:
This is used for studying pressure distribution across
various models, Viz., Aerofoil, cylinder, special purpose shapes . It contains
13 Nos. Of tubes mounted on board with adjustable inclination. Bottom of alltubes are interconnected and in turn to the balancing reservoir filled with
coloured water . While the last tube is left open to atmosphere for
reference , all other 12 tubes are connected at their top to pipe / tube
bundles of the model. The required model is held in the test section
between holes provided front and back side Perspex windows. The
pressure tapings ( tube outlets ) are connected to the glass limbs of the
respective Serial Number . The required degree of angle of inclination canbe given to the tube bundle and angle measured with respect to the
horizontal .
d) VELOCITY INDICATOR, PITOT TUBE & TRAVERSE UNIT:The velocity of air at test section is measured as the
m/sec in digital manometer. The two plastic pipes from the indicator are to
be connected to pitot tubes ( static and total heads ports ). Check that thetotal head port always faces the direction of flow . Otherwise the direction
effect may cause error in air velocity reading .The traverse unit can be
operated up and down the test section . It should show zero reading when
the pitot tube head probe is in bottom most position of the test section .
Otherwise adjust the pointer.
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OPERATING INSTRUCTIONS:
All the components described under DESCRIPTION are
readily integrated for conducting the various experiments . Follow the
general instruction detailed below.
1. Connect the power card to the 400 V, 32 A,3ph, AC power
supply with neutral and earth connection .
2. Keep the speed controller knob at Min.
3. Check all the switches of the controller are in OFF position
before starting .
4. Put-on the mains and observe the main indicator lights are
ON at the bottom of the control panel .
5. Now switch on the console and observe the console light in ON.
6. Select particular experiment & fix the required model in the test
section.
7. Follow the instruction for PREPARATION & OPERATION of
different attachments / accessories explained in earlier pages
.
8. Observe that no tools or loose parts are left in the test section, and
then close the transparent window.
9. Now increase the speed control knob slowly in the clock-wise
direction and observe the AC Motor picking up the speed
gradually.
10. Observe the movement of manometer liquid in inclined
manometer (velocity indicator) when liquid variation is low
set the required value of air velocity by adjusting the knob
on the AC drive.
11. Take readings in the respective experiments detailed in
later pages
12. While stopping, gradually decrease the speed and then switch
OFF the AC motor controller.
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TROUBLE SHOOTING:
1. DC motor does not start:
a) Main not ON.
b) Console not ON.
c) Controller not ON.
d) Motor fuse blown off.
e) Field fuses blown off.
f) Mains fuse in your laboratory blown off.
2. Smoke does not appear out of distributor:a) Heater not ON.
b) No diesel in overhead bottle.
c) Diesel control valve closed.
d) Heater burnt / damaged.
e) Diesel supply too fast.
f) Air velocity too high, the smoke gets diffused.
g) The holes in diesel air pipes are blocked if so, take out the till
it and clean.
3. Digital Lift, Drag, Side forces and Yawing, Pitching, Rolling moments
indicators not getting balanced and does not show proper reading:
a) Multi-pin connector not properly connected to strain gauge balance.
b) The model or model fixing tube is touching the tunnel wall.
c) Calibration is to be done.
4. Pressure Distribution in multi-bank manometer bank is not indicatedproperly:
a) The holes in models are blocked. If so, clean it with fine gauge
S.S.wire supplied.
b) The air velocity is too low.
c) The angle of inclination of manometer bank is very high with
respect to horizontal.
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d) The air is leaking through the connecting tubes at the model
terminals or at some other point in the tube line.
EXPERIMENT CONDUCT:
A. ON PRESSURE DISTRIBUTION OF AEROFOIL & CYLINDER:
1. Fix the aerofoil in the test section.
2. Set the require angle of attack using angle setter.
3. Connect pressure tube bundle coming from the multi tube
manometer to the steel tube extensions of the aerofoil model,
follow the instruction mentioned under PREPARATION &
OPERATION.
4. Set the required inclination of the manometer angle.
5. Now set the required velocity of air flow using AC motor
controller knob, and now observe the displacement of manometer
liquid in all tubes standing at different levels, and note down the
readings.
B. ON FORCE CHARACTERISTICS:
(i) SPHERICAL, HEMI - SPHERICAL, DISC MODELS:
1. Fix the above models in the vertical sting & lock it.
2. Set the force and moment indicators to zero.
3. Fix the air velocity using the velocity indicator.
4. Take down reading of all forces and moment.
5. These models can be tested at different orientations & the
results are compared.
C. ON FLOW VISUALISATION:
1. Cover the back side of the test section with dark cloth.
2. Switch ON the light.
3. Follow the instructions under PREPARATION &
OPERATION to set up the experiment for flow visualization.
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4. Fix the required model in the test section, at required
orientation.
5. Now observe the smoke being forced out of the smoke
distributor at the entry to the test section.6. Control the main flow of air in test section by controlling the
AC motor speed, so that the smoke flow pattern to persist across
the model. Higher velocities will defuse the smoke.
7. Observe the flow pattern at different orientation of models.
8. Check periodically that adequate amount of diesel oil is
available in the over head bottle.
9. Also check the unbumt diesel oil being collected in the sumpbottle, and outlet smoke pipes and transfer it back to over head
bottle.
10. Never switch on the heater for long time without the diesel oil
being supplied to the unit.
11. After the experiment, switch off the heater, diesel supply and light
and run the DC motor for sometime. This is just to exhaust out any
smoke left in the tunnel.
THINGS TO REMEMBER:
1. Do not clean transparent test section windows with petrol,kerosene or other chemical detergents just use soap water.
2. Keep always the holes of the pressure distribution models closed
with soft clean paper wrapped round with rubber band. This is
very important because making holes on aerofoil is done by special
process and not easily be cleaned or made.3. In case of faults beyond routine repair / understanding, please write
to the manufacturer.
4. Dont bring any fire near the smoke generator during flow
visualization experiment.
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TABLEOFREADINGSO
NAIRFOIL
VALUESOFPRESSURE
CO-EFFICIENTONSYM
METRICALAIRFOIL
(1)to(6)
-
UpperSurface
(7)to(12)
-
LowerSurface
Velocity(V)-
(PoP)
-
InitialManometerReading
(P13P(i))/
2
Cp(i)
-
---------------------
Cp(i)=
Pressureco-efficientatdifferen
t
(PoP)
OBSERVATION
TABLE:
LOCATION
(X/C)
ANGL
EOFATTACKindegrees
0
5
10
15
20
-5
-10
-15
-20
1(5)
2(15)
3(15)
4(15)
5(20)
6(20)
7(10)
8(20)
9(20)
10(15)
11(15)
12(15)
13(StaticP)
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TABLEOFREADINGSO
NAIRFOIL
VALUESOFPRESSURE
CO-EFFICIENTONUNS
YMMETRICALAIRFOIL
(1)to(6)
-
UpperSurface
(7)to(12)
-
LowerSurface
Velocity(V)-
(PoP)
-
InitialManometerReading
(P13P(i))/
2
Cp(i)
-
---------------------
Cp(i)=
Pressureco-efficientatdifferen
t
(PoP)
OBSERVATION
TABLE:
LOCATION
(X/C)
ANGL
EOFATTACKindegrees
0
5
10
15
20
-5
-10
-15
-20
1(5)
2(15)
3(15)
4(15)
5(20)
6(20)
7(10)
8(20)
9(20)
10(15)
11(15)
12(15)
13(StaticP)
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VALUESOFPRESSURE
CO-EFFICIENTONCYLINDERMODEL
(1)to(6)
-
UpperSurface
(7)to(12)
-
LowerSurface
AtAirVelocity(V)-
(Ps-Po)
Pi=(Pr-Pm)
Cp=
-----------------
Cp=Pre
ssureco-efficient
Ps=(Pi3)
(1/2rV2)
------------------
2
TunnelDynamicPressureofW
aterPo=Pr-P13
OBSERVATION
TABLE:
LOCATION
Smoothcylindersurface
pressurePm
1(5)
2(15)
3(15)
4(15)
5(20)
6(20)
7(10)
8(20)
9(20)
10(15)
11(15)
12(15)
13(StaticP)
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TABLEFORLIFT,DRAG
&SIDEFORCEREADINGSONSYMMETRICAL
AIRFOIL
AtVelocity:
Model
Angleof
Attack
Velocit
y
Liftforce
DragForce
Sideforce
Chord(C)=0.1m
Span(S)=0.25m
A=S*C=0.025m
2
=1.29kg/m
g=9.81m/sec
2
D=Drag(Kgf)
L=Lift(Kgf)
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TABLEFORLIFT,DRAG
&SIDEFORCEREADINGSONUNSYMMETRIC
ALAIRFOIL
AtVelocity:
Model
Angleof
Attack
Velocit
y
Liftforce
DragForce
Sideforce
Chord(C)=0.1m
Span(S)=0.25m
Area(A)=S*C=0.025m
2
=1.29kg/m3
g=9.81m/sec
2
D=Drag(Kgf)
L=Lift(Kgf)
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STUDYOFFORCESON
BLUFFBODIES
AtAirVelocity:
Model
Drag
Projected
Dimension
inm
Projected
Areainm
2
CD
CircularDisc
0.12
113X10-4
Sphere
0.1
7.85X10-3
Hemispherical
Bowl
0.1
7.85X10-3
,CD=FA/FT
=(Actualmeasurementofforce)/(Theoreticalmeasurementofforce)
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FORMULAE USED:
1) PRESSURE DISTRIBUTION OVER AN AEROFOIL:
P13 P(i)/(2)1/2
CP(i)= ---------------------
(PO P)
Where, P13 = Ps = static pressure in cm
From manometer (13th
point)
P(i) = Pressure at each point in cm
(Po P) = initial manometer reading in cm
Draw graph of
Pressure in mm of water Vs Pressure tapping points location distance
2) CO-EFFICIENT OF LIFT (CL) AND CO-EFFICIENT OF DRAG (CD) OF MODELS
FORCE, FT = AV2
x Cos 9.812g
where, A is projected area of aerofoil is the air density = 1.29 kg/m3g is acceleration due to gravity = 9.81 m/sec
2
v is velocity of air in m/sec
is angle of inclination on aerofoil
FA Actual measurement of force
CS, CL, CD = -------- = ----------------------------------------
FT Theoretical measurement of force
Draw graph of CL, CD Vs Angle of attack
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3) VELOCITY OF AIR AT SECTION,V :
V = (2 x g x (hw/1000) x (w/
a 1))1/2
= (2 x 9.81 x (hw/1000) x (1000/1.29 1))
1/2
= 4.22 (hw)1/2
Where, w = 1000 kg/m3a = 1.29 kg/m3g = 9.81 m/s
2
hw= U tube manometer reading in mm
X
LocationX/C
1 0.05
2 0.2
3 0.35
4 0.5
5 0.76 0.9
7 0.9
8 0.7
9 0.5
10 0.35
11 0.2
12 0.05
X
Location
Distance
b/wPoints
1 5
2 20
3 35
4 50
5 70
6 90
7 -90
8 -70
9 -50
10 -35
11 -20
12 -5
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VELOCITY DISTRIBUTION OVER THE TEST SECTION
CHART OF FREQUENCY AND VELOCITY
Table of Readings
VALUES OF PRESSURE CO-EFFICIENT ON SYMMETRICAL
AIRFOIL
(1) to (6) - Upper Surface
(7) to (12) - Lower Surface
Velocity (V) - 64.1 m/s(Po P ) - dynamic head from velocity indicator (Velocity head) = 23.07
Frequency
Distance
travelled
in mm
Velocity
(from meter
)
0 42.650 55.6
100 64.5
150 64.5
200 64.1
250 58.5
50
295 56.5
0 27
50 32.4
100 40.5
150 40.5
200 40
250 38.4
30
295 35
Distancetravelled
Frequency Velocity
10.88 5.9
20.18 11.8
30.08 18.5
40 25.3
150
50 32.9
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(P13 P(i)) / 2Cp(i) - --------------------- Cp(i) = Pressure co-efficient at
different X/C location.
( Po P )OBSERVATION TABLE:
LOCA
TION
ANGLE OF ATTACK in degrees (SYMETRICAL MODEL)
Air Velocity =64.1 m/s
Cp(i) 0 Cp(i) 5 Cp(i) 10 Cp(i) 15 Cp(i) 20 Cp(i) -5 Cp(i)
1(5) -0.279 42.8 -0.628 53 -1.16 68.5 -1.56 80.8 -0.19 38.2 0.21 23.5 0.40
2(15) -0.208 40.5 -0.337 43.5 -0.50 46.8 -0.59 49 -0.17 37.7 0.05 28.9 0.17
3(15) -0.190 39.9 -0.267 41.2 -0.36 42.5 -0.39 42.7 -0.20 38.6 -0.02 31.2 0.06
4(15) -0.147 38.5 -0.199 39 -0.25 38.6 -0.22 37.2 -0.19 38.4 -0.05 32 0.03
5(20) -0.046 35.2 -0.064 34.6 -0.07 33 -0.01 30.3 -0.19 38.3 0.00 30.5 0.046(20) 0.071 31.4 0.067 30.3 0.09 27.8 0.08 27.2 -0.17 37.5 0.04 29.1 0.05
7(10) 0.101 30.4 0.083 29.8 0.10 27.5 0.07 27.5 -0.07 34.5 0.09 27.5 0.05
8(20) 0.021 33 0.046 31 0.11 27 0.12 26 0.05 30.4 -0.02 31.2 -0.08
9(20) 0.006 33.5 0.052 30.8 0.15 25.8 0.18 23.9 0.15 27.1 -0.07 32.8 -0.13
10(15) -0.034 34.8 0.049 30.9 0.18 24.6 0.24 22 0.22 24.8 -0.17 36.1 -0.26
11(15) -0.123 37.7 0.012 32.1 0.21 23.8 0.29 20.3 0.29 22.5 -0.34 41.6 -0.46
12(15) -0.129 37.9 0.107 29 0.38 18.2 0.48 14.1 0.48 16.4 -0.57 49.1 -0.89
13 33.7 32.5 30.6 29.9 32.1 30.5
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VALUES OF PRESSURE CO-EFFICIENT ON SYMMETRICAL
AIRFOIL
(1) to (6) - Upper Surface
(7) to (12) - Lower Surface
Velocity (V) - 40.0 m/s
(Po P ) - dynamic head from velocity indicator (Velocity head) = 8.98
(P13 P(i)) / 2Cp(i) - --------------------- Cp(i) = Pressure co-efficient at
different X/C location.
( Po P )OBSERVATION TABLE:
LOCAT
ION
ANGLE OF ATTACK in degrees (SYMETRICAL MODEL)
Air Velocity = 40.0 m/s
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Cp(i) 0 Cp(i) 5 Cp(i) 10 Cp(i) 15 Cp(i) 20 Cp(i) -5 Cp(i)
1(5) -0.102 20 -0.551 25.5 -1.11 31.4 -1.29 34.2 -0.18 20.3 0.24 14.5 0.42
2(15) -0.087 19.8 -0.284 22.1 -0.50 23.7 -0.49 24 -0.16 20 0.08 16.6 0.20
3(15) -0.118 20.2 -0.236 21.5 -0.40 22.4 -0.35 22.3 -0.17 20.1 0.01 17.5 0.08
4(15) -0.095 19.9 -0.181 20.8 -0.28 20.8 -0.19 20.2 -0.17 20.1 -0.02 17.9 0.065(20) -0.024 19 -0.047 19.1 -0.11 18.7 0.00 17.8 -0.18 20.3 0.03 17.2 0.07
6(20) 0.071 17.8 0.071 17.6 0.04 16.8 0.10 16.5 -0.17 20.1 0.06 16.9 0.06
7(10) 0.102 17.4 0.102 17.2 0.07 16.4 0.10 16.5 -0.11 19.4 0.07 16.7 0.04
8(20) 0.016 18.5 0.063 17.7 0.06 16.5 0.13 16.2 0.00 18 -0.03 18 -0.06
9(20) 0.008 18.6 0.079 17.5 0.10 16 0.20 15.3 0.12 16.5 -0.06 18.3 -0.12
10(15) -0.039 19.2 0.079 17.5 0.14 15.5 0.26 14.5 0.20 15.5 -0.15 19.5 -0.23
11(15) -0.158 20.7 0.039 18 0.17 15.2 0.32 13.8 0.25 14.8 -0.31 21.5 -0.50
12(15) -0.213 21.4 0.047 17.9 0.34 13 0.50 11.5 0.45 12.3 -0.51 24.1 -0.79
13 18.7 18.5 17.3 17.8 18 17.6
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VALUES OF PRESSURE CO-EFFICIENT ON UNSYMMETRICAL
AIRFOIL
(1) to (6) - Upper Surface
(7) to (12) - Lower Surface
Velocity (V) - 64.1 m/s
(Po P ) - Dynamic head from velocity indicator (Velocity head) = 23.07
(P13 P(i)) / 2Cp(i) - --------------------- Cp(i) = Pressure co-efficient at
different X/C location.
( Po P )
OBSERVATION TABLE:
LOCAT
ION
ANGLE OF ATTACK in degrees (UNSYMETRICAL MODEL)
Air Velocity = 64.1 m/s
Cp(i) 0 Cp(i) 5 Cp(i) 10 Cp(i) 15 Cp(i) 20 Cp(i) -5 Cp(i) -1
1(5) 0.601 13.2 0.215 24.5 -0.18 36.5 -0.63 50.3 -1.08 64.1 0.63 11.5 0.55 12
2(15) -0.113 36.5 -0.389 44.2 -0.61 50.5 -0.79 55.7 -0.93 59.3 0.02 31.4 0.04 2
3(15) -0.319 43.2 -0.475 47 -0.58 49.3 -0.67 51.5 -0.66 50.5 -0.21 38.8 -0.18 36
4(15) -0.221 40 -0.346 42.8 -0.41 43.8 -0.42 43.5 -0.32 39.3 -0.20 38.5 -0.20 36
5(20) -0.138 37.3 -0.202 38.1 -0.20 37 -0.16 34.9 -0.04 30.4 -0.17 37.4 -0.20 3
6(20) 0.009 32.5 0.003 31.4 0.05 29 0.08 27.3 -0.02 29.8 -0.08 34.5 -0.16 35
7(10) 0.162 27.5 0.144 26.8 0.15 25.5 0.16 24.7 0.12 25.2 0.06 30 -0.13 34
8(20) 0.135 28.4 0.147 26.7 0.19 24.3 0.21 22.8 0.21 22 -0.07 34.4 -0.15 35
9(20) 0.141 28.2 0.184 25.5 0.25 22.5 0.29 20.5 0.31 19 -0.12 36 -0.10 33
10(15) 0.101 29.5 0.175 25.8 0.26 22 0.32 19.3 0.35 17.5 -0.16 37.2 -0.08 3
11(15) -0.061 34.8 0.083 28.8 0.22 23.4 0.32 19.5 0.36 17.3 -0.20 38.5 -0.11 3
12(15) -0.748 57.2 -0.276 40.5 0.12 26.5 0.38 17.3 0.52 12 -0.18 38 -0.10 33
13 32.8 31.5 30.5 29.8 29 32 30
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VALUES OF PRESSURE CO-EFFICIENT ON UNSYMMETRICAL
AIRFOIL
(1) to (6) - Upper Surface
(7) to (12) - Lower Surface
Velocity (V) - 64.1 m/s
(Po P ) - Dynamic head from velocity indicator (Velocity head) = 8.98
(P13 P(i)) / 2Cp(i) - --------------------- Cp(i) = Pressure co-efficient atdifferent X/C location.
( Po P )
OBSERVATION TABLE:
LOCA
TION
ANGLE OF ATTACK in degrees (UNSYMETRICAL MODEL)
Air Velocity = 40.0 m/s
Cp(i) 0 Cp(i) 5 Cp(i) 10 Cp(i) 15 Cp(i) 20 Cp(i) -5 Cp(i)
1(5) 0.496 12 0.260 14.8 -0.13 19.5 -0.60 25.1 -1.03 30.4 0.59 10.5 0.57
2(15) -0.110 19.7 -0.331 22.3 -0.55 24.8 -0.76 27.1 -0.88 28.5 0.04 17.5 0.06 1
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3(15) -0.299 22.1 -0.433 23.6 -0.54 24.7 -0.63 25.5 -0.67 25.8 -0.20 20.5 -0.09 1
4(15) -0.244 21.4 -0.307 22 -0.38 22.6 -0.39 22.4 -0.38 22.1 -0.17 20.1 -0.13 1
5(20) -0.165 20.4 -0.189 20.5 -0.18 20.1 -0.16 19.5 -0.04 17.8 -0.16 20 -0.15 1
6(20) -0.016 18.5 0.008 18 0.04 17.3 0.08 16.5 0.06 16.6 -0.08 19 -0.10 1
7(10) 0.142 16.5 0.142 16.3 0.09 16.6 0.17 15.4 0.14 15.5 -0.01 18.1 -0.12 18(20) 0.039 17.8 0.158 16.1 0.19 15.4 0.22 14.7 0.24 14.3 -0.10 19.3 -0.13
9(20) 0.142 16.5 0.189 15.7 0.25 14.6 0.28 14 0.31 13.4 -0.09 19.2 -0.16 1
10(15) 0.102 17 0.181 15.8 0.26 14.5 0.32 13.4 0.36 12.7 -0.09 19.2 -0.06
11(15) -0.118 19.8 0.079 17.1 0.21 15.1 0.32 13.5 0.39 12.4 -0.14 19.8 -0.10 1
12(15) -0.473 24.3 -0.221 20.9 0.13 16.1 0.40 12.4 0.51 10.8 -0.13 19.6 -0.10 1
13 18.3 18.1 17.8 17.5 17.3 18 1
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VALUES OF PRESSURE CO-EFFICIENT ON CYLINDER MODEL
(SMOOTH SURFACE)
(1) to (6) - Upper Surface (7) to (12) - Lower Surface
At Air Velocity (V) - 64.1m/s (Ps-Po)
Pi = (Pr - Pm) Cp = ----------------- Cp =
Pressure co-efficient
Ps = (Pi3) ( 1/2rV2 )------------------
2
Tunnel dynamic Pressure in cm of Water Po = Pr - P13
Reference Pressure Pr = 10
OBSERVATION TABLE:
LOCATION
P
Smooth
Cylinder
Surface Pm
Pressure Pi
in cm
Pressure
Ps in cmPs-Po Cp
1 29.8 -19.8 -17.127 0.373 0.0001
2 30.5 -20.5 -17.7325 -27.7325 -0.0105
3 34 -24 -20.76 -30.76 -0.0116
4 35.2 -25.2 -21.798 -31.798 -0.0120
516.4 -6.4 -5.536 -15.536 -0.0059
6 7.9 2.1 1.8165 -8.1835 -0.0031
7 20.8 -10.8 -9.342 -19.342 -0.0073
8 36.5 -26.5 -22.9225 -32.9225 -0.0124
9 32.5 -22.5 -19.4625 -29.4625 -0.0111
10 31.9 -21.9 -18.9435 -28.9435 -0.0109
11 33.8 -23.8 -20.587 -30.587 -0.0115
12 33.5 -23.5 -20.3275 -30.3275 -0.0114
13 27.5
VALUES OF PRESSURE CO-EFFICIENT ON CYLINDER MODEL
(SMOOTH SURFACE)
(1) to (6) - Upper Surface (7) to (12) - Lower Surface
At Air Velocity (V) - 40.0 m/s (Ps-Po)
Pi = (Pr - Pm) Cp = ----------------- Cp =
Pressure co-efficient
Ps = (Pi3) ( 1/2rV2 )------------------
2
Tunnel dynamic Pressure in cm of Water Po = Pr - P13
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Reference Pressure Pr = 10
OBSERVATION TABLE:
LOCATION
P
Smooth
CylinderSurface Pm
Pressure
Pi in cm
Pressure
Ps in cm Ps-Po Cp
1 19 -9 -7.785 -1.285 -0.0012
2 18.5 -8.5 -7.3525 -17.3525 -0.0168
3 18.2 -8.2 -7.093 -17.093 -0.0166
4 18.4 -8.4 -7.266 -17.266 -0.0167
5 12.5 -2.5 -2.1625 -12.1625 -0.0118
6 9.4 0.6 0.519 -9.481 -0.0092
7 14 -4 -3.46 -13.46 -0.0130
8 20.3 -10.3 -8.9095 -18.9095 -0.0183
9 18.9 -8.9 -7.6985 -17.6985 -0.0171
10 18.5 -8.5 -7.3525 -17.3525 -0.0168
11 19.7 -9.7 -8.3905 -18.3905 -0.0178
12 19.9 -9.9 -8.5635 -18.5635 -0.0180
13 16.5
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TABLE FOR LIFT, DRAG SIDE FORCE READINGS ON
SYMMETRICAL AIRFOIL
Model Angle of
Attack COS
Velocity Lift
Force
(FA) Kg
Drag
Force
Kg
Side
Force
Kg
A= S*C
S=0.295m
C=0.1m
FT
inKg
0 1 64.1 0.19 0.52 -0.02 0.02950 7.969
-5 0.996 64.1 -1.12 0.7 -0.01 0.02950 7.938
-10 0.984 64.1 -2.17 0.85 -0.01 0.02950 7.842
-15 0.965 64.1 -3.29 1.12 -0.04 0.02950 7.691-20 0.939 64.1 -3.1 1.91 -0.07 0.02950 7.483
5 0.996 64.1 2.38 0.52 -0.1 0.02950 7.938
10 0.984 64.1 4.1 0.56 -0.19 0.02950 7.842
15 0.965 64.1 4.76 0.62 -0.23 0.02950 7.691
SYMMETRICAL
AEROFOIL
20 0.939 64.1 2.99 1.69 -0.16 0.02950 7.483
TABLE FOR LIFT, DRAG SIDE FORCE READINGS ON
SYMMETRICAL AIRFOIL
Model Angle of
Attack COS
Velocity Lift Force
(FA) Kg
Drag
Force Kg
Side Force
Kg
A= S*C
S=0.295m
C=0.1m
FT in Kg
0 1 40 0.03 0.12 -0.01 0.02950 3.103
-5 0.996 40 -0.6 0.28 -0.01 0.02950 3.091
-10 0.984 40 -0.81 0.32 -0.01 0.02950 3.054
-15 0.965 40 -1.25 0.5 -0.02 0.02950 2.995
-20 0.939 40 -1.18 0.71 -0.05 0.02950 2.914
5 0.996 40 0.79 0.16 -0.03 0.02950 3.09110 0.984 40 1.27 0.2 -0.06 0.02950 3.054
15 0.965 40 1.79 0.24 -0.07 0.02950 2.995
SYMMETRICAL
AEROFOIL
20 0.939 40 1.04 0.63 -0.09 0.02950 2.914
GRAPH OF LIFT, DRAG SIDE FORCE FOR SYMMETRICAL
AEROFOIL AT V= 64.1
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GRAPH OF LIFT, DRAG SIDE FORCE FOR SYMMETRICAL
AEROFOIL AT V= 40.0
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TABLE FOR LIFT, DRAG SIDE FORCE READINGS ON
UNSYMMETRICAL AIRFOIL
Model
Angle
ofAttack
COS
Velocity
Lift
Force(FA)
Kg
DragForce
Kg
SideForce
Kg
A= S*CS=0.295m
C=0.1m
FT in
Kg
CL
0 1 64.1 3.02 0.5 -0.08 0.02950 7.969 0.379
-5 0.996 64.1 0.38 0.88 -0.08 0.02950 7.938 0.048
-10 0.984 64.1 -1.02 1.28 -0.07 0.02950 7.842 -0.13
-15 0.965 64.1 -1.32 1.63 -0.07 0.02950 7.691 -0.17
-20 0.939 64.1 -1.55 1.84 -0.09 0.02950 7.483 -0.20
5 0.996 64.1 3.87 0.56 -0.18 0.02950 7.938 0.488
10 0.984 64.1 4.28 0.58 -0.22 0.02950 7.842 0.54
UNSYMMETRICAL
AIRFOIL
15 0.965 64.1 5.02 0.6 -0.3 0.02950 7.691 0.653
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20 0.939 64.1 6.16 0.72 -0.39 0.02950 7.483 0.823
TABLE FOR LIFT, DRAG SIDE FORCE READINGS ON
UNSYMMETRICAL AIRFOIL
Model
Angleof
Attack
COS
Velocity
LiftForce
(FA)
Kg
Drag
Force
Kg
Side
Force
Kg
A= S*C
S=0.295m
C=0.1m
FT inKg CL
0 1 40 1.23 0.22 -0.04 0.02950 3.103 0.39
-5 0.996 40 0.14 0.32 -0.03 0.02950 3.091 0.045
-10 0.984 40 -0.4 0.46 -0.02 0.02950 3.054 -0.13
-15 0.965 40 -0.49 0.55 -0.03 0.02950 2.995 -0.16
-20 0.939 40 -0.49 0.58 -0.04 0.02950 2.914 -0.16
5 0.996 40 1.56 0.21 -0.07 0.02950 3.091 0.505
10 0.984 40 1.71 0.22 -0.09 0.02950 3.054 0.56
15 0.965 40 1.98 0.24 -0.21 0.02950 2.995 0.661
UNSYMMETRICAL
AIRFOIL
20 0.939 40 2.33 0.28 -0.16 0.02950 2.914 0.80
GRAPH OF LIFT, DRAG SIDE FORCE FOR UNSYMMETRICAL
AEROFOIL AT V= 64.1
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GRAPH OF LIFT, DRAG SIDE FORCE FOR UNSYMMETRICAL
AEROFOIL AT V= 40.0
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TYPICAL DRAG STUDIES ON BLUFF BODIES AND
AUTOMOBILES
At Velocity V=64.1
ModelDrag
Force
Projected
dimension
in mm
Projected
AreaFt Cd
Circular disc 2.09 120 0.0113 3.05271 0.68464
Sphere 0.74 100 0.0078 2.10718 0.35118
Hemispherical
Bowl 2.05 100 0.0078 2.10718 0.97286
Car 1 0.52Car 2 0.91
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At Velocity V=40
ModelDrag
Force
Projected
dimensionin mm
Projected
Area Ft Cd
Circular disc 0.78 120 0.0113 1.18875 0.65615
Sphere 0.37 100 0.0078 0.82055 0.45092
Hemispherical
Bowl 0.74 100 0.0078 0.82055 0.90183
Car 1 0.19
Car 2 0.36
3 R
STATICPRE.
3ph.ACSUPPLY
OUTLET
TEST SECTION
DIFFUSEREFFUSERAIR INLET
HONEY COMBMESH SCREEN
PITOT TUBE
AXIAL FLOWFAN
ANY ONEAT A TIME
FLOW VISUALIZATION
STUDY(OPTIONAL)PRESSURE
DISTRIBUTION STUDY FORCE STUDY
- CYLINDER- FLAT DISC- AIRFOIL OR
- AUTOMOBILE VEHICLEMODEL OR
- OPTIONAL MODELS
SMOKEGEN.
SMOKEDISTRIBUTION
SMOKE
MULTI BANK MANOMETER
- AIRFOIL OR
- CYLINDER OR
- OPTIONALMODELS
- AIRFOIL
SYMMETRICALUN SYMMETRICAL
- AUTOMOBILE
VEHICAL MODEL
- BLUFF BODIES- OPTIONAL MODELS
3 FORCESTUNNEL BALANCE
AIR SUPPLY FROM BLOWER
FIG . 1 LOW SPEED WIND TUNNEL SCHEMATIC OF INSTRUMENTATION AND EXPERI
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FLOW VISUALIZATION USING WATER CHANNEL
AIM:
To visualize the flow using water flow channel by using twodimensional object.
APPARATUS REQUIRED:
Water flow channel, two dimensional surfaces model.
DESCRIPTION:
The water flow channel is a device which is used to visualize the two
dimensional flow over an object. The channel consist of a test section
proceeded by a contraction passage. The contraction passage increases the
test section speed; the corner vanes in the return circuit provide a smooth
entry of water into contraction. The entire setup is arranged in a shallow
rectangular tank filled with water to a required level. The flow in the test
section is established by means of two sets of rotating flow Blades wheel
in opposite directions. The water is re-circulated so that the system works
continuously. A HP DC motor through a belt pulley drive arrangementwhich drives the blade wheel at a lower speed. The speed of the stream is
kept low to avoid turbulence and ripple formation on the water surface.
PROCEDURE:
Two-dimensional models are kept in test section and the flow pattern
around these models is made visible by placing silver threads. The water
channel is well suited for the study of real flow visualization is used to
study the effects of the shape of the model on the flow pattern, when kept
in a stream line flow. The following models are used for flow
visualization.
a) Square and triangle
b)Airfoil.
1. Laminar flow of water in a channel is in flow condition.
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2. For above condition operate the variable drive in clockwise direction.
3. Observe the condition of flow should be laminar.
4. In the middle flow path keep the model (Aerofoil, Square, and
Triangle) one at a time.5. The silver threads are placed (called as aluminum powder) in the path
of water flow and model. The silver threads travels in the direction of
flow and passes through the model closely observe the pattern formed
around the model. It can be photographed.
6. The equipment is made of stainless steel tray in which contractpartitions are made for flow path.
7. The flow path length 6.
8. Width of the channel is two side ways 6.
9. Width of the channel in centre 9.
10. Curved blade at entry and on the other end is made for smooth flow.
11. The curved blades can be removable type on the other end for differentconditions.
12. A common shaft is connected to the turbine wheel blades.
13. The shaft is connected by belt to DC variable motor.14. The RPM of the motor can be red in digital meter.
15. Once the experiment is completed drain the water.
16. The water height in the channel should not be more than 2 in heightfrom base floor.
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