Pressure Distribution Over an Airfoil

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    PRESSURE DISTRIBUTION OVER AN AIRFOIL

    ME323: FLUID MECHANICS LABORATORY

    Submitted By: Yousif Alromaithi

    Submitted To: Joe

    Submitted: 11/12/2014

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    ABSTRACT

    The experiment is to be performed to determine the pressure distribution over an airfoil and use

    it to determine the Coefficient of Pressure, Lift force, pressure drag, the lift and drag coefficients

    CL and CD. A Clark Y-14 Airfoil and a wind tunnel were used in performing this experiment.

    The difference in pressure over an airfoil causes a lifting force to it. The flow above the airfoil

    becomes accelerated when it hits the airfoil and by applying the Bernoullis equation, we see that

    the pressure decreases. While the flow above the airfoil is accelerated, the flow below it

    decelerates therefore increasing the pressure and causing a lift to the airfoil due to the difference

    of pressure.

    The pressure distribution was determined at different angle of attacks. The pressure were

    recorded using sensing holes on the airfoil. The coefficients of drag and lift were calculated

    using the pressure recorded. The results were plotted for analysis.

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    DATA, THEORY AND RESULTS

    Air Velocity: 60mph or 27 m/sLength of Airfoil: 11.375in or 0.288925m

    Average Static: 0.45kPa or 0.06526psi

    Static

    Number

    Percentage of

    Chord

    Pressure Data

    (kPa)

    0 0 0.37 0.37 0.21 -0.03

    1 5 -0.08 -0.28 -0.51 -0.68

    2 10 -0.21 -0.38 -0.57 -0.69

    3 20 -0.29 -0.41 -0.54 -0.6

    4 30 -0.26 -0.34 -0.45 -0.53

    5 40 -0.24 -0.3 -0.39 -0.35

    6 50 -0.21 -0.27 -0.29 -0.3

    7 60 -0.18 -0.23 -0.22 -0.23

    8 70 -0.17 -0.12 -0.15 -0.15

    9 80 -0.03 -0.05 -0.07 -0.07

    10 5 -0.22 -0.05 0.1 0.19

    11 10 -0.14 -0.03 0.08 0.15

    12 20 -0.06 0.03 0.1 0.13

    13 30 -0.01 0.04 0.09 0.11

    14 40 0 0.04 0.08 0.1

    15 50 0.01 0.04 0.07 0.09

    16 60 0.01 0.04 0.06 0.08

    17 70 0.01 0.04 0.06 0.06

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    Static Ring 0.45kPa 0.44kPa 0.46kPa 0.45kPa

    Atop(in )

    Locations 09[x*L]

    Top Forces(lb)

    [Pressure*Area]Convert P to psi

    ABottom(in )

    Locations 10-17[x*L]

    Bottom Forces(lb)

    [Pressure*Area]Convert P to psi

    10.053664

    - -

    1.99 -0.08082 - -

    2.99 -0.16479 - -

    3.98 -0.23667 - -

    3.98 -0.19627 - -

    3.98 -0.17318 - -

    3.98 -0.15586 - -

    3.98 -0.13277 - -

    3.98 -0.06927 - -

    3.98-0.02886

    -

    -

    - - 1

    -0.00725

    - - 1.99 -0.00866

    - - 3.98 0.017318

    - - 3.98 0.02309

    - - 3.980.02309

    - - 3.98 0.02309

    - - 3.98 0.02309

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    - - 3.98 0.02309

    The charts are results for the zero degree angle of attack.

    AFront(in )

    Locations 0-5 &

    10-13[y*L]

    Front Forces (lb)

    [Pressure*Area]

    Convert P to psi

    ABack(in )

    Locations 5-9 &

    13-17[y*L]

    Back Forces (lb)

    [Pressure*Area]

    Convert P to psi

    Cp

    1.070.05742044

    - -

    0.822222

    2.49 -0.10112031 - - -0.62222

    1.07 -0.05897234 - - -0.84444

    1.07 -0.06362806 - - -0.91111

    0.53 -0.0261358 - - -0.75556

    -0.49 0.02132055 - - -0.66667

    - - -0.460.01801369 -0.6

    - - -0.69 0.02301749 -0.51111

    - - -0.9 0.01566408 -0.26667

    - - -0.43 0.00311831 -0.11111

    0.78-0.00565647

    - - -0.11111

    0.11 -0.00047862 - - -0.06667

    0.070.00030458

    - -0.066667

    0.00 0 - - 0.088889

    - - 0.180.00104427 0.088889

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    - - 0.53 0.0030748 0.088889

    - - 0.36 0.00208854 0.088889

    - - 0.36 0.002088540.088889

    Solving for the Normal Force and the Axial Force:

    Solving for the Coefficient of Drag and the Coefficient of Lift for zero degree angle of attack

    ()

    ()

    For 3,-3, and 5 degree angles, computed separately.

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    ()

    ()

    ()

    For plotting the CPvs x

    Bottom x Top

    0.822222 0.00

    0.822222

    -0.11111 0.18 -0.62222

    -0.06667 0.35 -0.84444

    0.066667 0.7 -0.91111

    0.088889 1.05 -0.75556

    0.088889 1.4 -0.66667

    0.088889 1.75 -0.6

    0.088889 2.1 -0.51111

    0.088889 2.45 -0.26667

    2.8 -0.11111

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    Plot of Cp vs x

    Cp vs Y

    y Cp

    -0.14 -0.11111

    -0.13 -0.06667

    -0.13 0.066667

    -0.13 0.088889

    -0.13 0.088889

    -0.09 0.088889

    -0.06 0.088889

    -0.06 0.088889

    -1

    -0.8

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 0.5 1 1.5 2 2.5 3Cp

    x(in)

    Top

    Bottom

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    0

    0.822222

    0.19 -0.62222

    0.19

    -0.84444

    0.23 -0.91111

    0.25 -0.75556

    0.29 -0.66667

    0.31 -0.6

    0.32-0.51111

    0.31 -0.26667

    0.38 -0.11111

    ANALYSIS AND DISCUSSION

    The experiment aims to observe and calculate the pressure distribution over an airfoil. The

    pressure around the Clark Y-14 airfoil were recorded for different angles of attack, 0, -3, 3, and

    5. The airfoil was placed in a wind tunnel with air velocity of 60 mph. The Coefficient of drag

    and Coefficient of lift were determined for the airfoil with an angle of attack of zero degrees.They were determine by calculating first the lift force and drag forces acting on the airfoil.

    The results showed difference between the top and bottom faces of the airfoil and also the back

    and front faces of it. The force acting on top is negative while the force on the bottom is positive.

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    The coefficients of pressure for the top face are almost all negative compared to the bottom

    which all have positive values.

    CONCLUSION

    The experiments objective is to show the pressure distribution over a Clark Y-14 airfoil

    subjected to air stream. The pressure values were recorded from 0 to 70% of the chord length.

    The differences of the pressures around the airfoil causes it to have a normal or lift force and an

    axial or drag force. The differences were caused by its shaped which alters the velocities of the

    airs stream.

    The lift also increased as the angle of attack increases. I believe this is the case only if the angles

    are small. In larger angles, the lift is not directly proportional to the angle of attack. The

    coefficient of pressure were also calculated and plotted with the values of x. The plot of Cp is

    almost the same as the sample plot.

    PRACTICAL APPLICATION

    Anairfoil is a streamlined shape that is capable of generating significantly more lift than drag. A

    flat plate can generate lift, but not as much as a streamlined airfoil, and with somewhat higher

    drag. Airfoils have lots of applications in the field of engineering. From propellers, fans,

    turbines, and specifically for wings of planes. Different types of airfoils are used for different

    uses of it. Each has different shape and effect as fluid flows over them.

    The study of airfoils are very important since they are used in planes that can endanger the life of

    the passengers if not properly used. Airfoils are very important to aerodynamics and should be

    studied.

    http://en.wikipedia.org/wiki/Airfoilhttp://en.wikipedia.org/wiki/Airfoil
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    REFERENCES

    1. http://www.grc.nasa.gov/WWW/k-12/airplane/incline.html

    2. http://hyperphysics.phy-astr.gsu.edu/hbase/fluids/angatt.html

    3. http://web.mit.edu/2.972/www/reports/airfoil/airfoil.html

    4.

    http://hyperphysics.phy-astr.gsu.edu/hbase/fluids/airfoil.html5. http://www.grc.nasa.gov/WWW/k-12/airplane/lifteq.html

    6. http://www.aviation-history.com/theory/airfoil.htm

    http://www.grc.nasa.gov/WWW/k-12/airplane/incline.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/fluids/angatt.htmlhttp://web.mit.edu/2.972/www/reports/airfoil/airfoil.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/fluids/airfoil.htmlhttp://www.grc.nasa.gov/WWW/k-12/airplane/lifteq.htmlhttp://www.grc.nasa.gov/WWW/k-12/airplane/lifteq.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/fluids/airfoil.htmlhttp://web.mit.edu/2.972/www/reports/airfoil/airfoil.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/fluids/angatt.htmlhttp://www.grc.nasa.gov/WWW/k-12/airplane/incline.html