2. The table below shows experimental data for the shape and pressure distribution on the upper and lower surface of an airfoil at zero angle of attack. X 0 0.25 0.5 Oo Y Yu 0 0.0952 0.0922 Y₁ 0 -0.0254 -0.0144 Y= Yu (x) y = Ye (x) Pu 1.000 -1.640 -0.786 x Pi 1.000 0.589 0.426

Elements Of Electromagnetics
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2. The table below shows experimental data for the shape and pressure distribution on the upper
and lower surface of an airfoil at zero angle of attack.
X
0
0.25
0.5
0.75
1
Y
Fx =
Yu
0
0.0952
0.0922
0.0588
0
(Pu
dYu
dx
-
Calculate the drag and lift force on the airfoil by numerically evaluating the integrals
Fy (P₁-P₂)dx
= √ ( P₁ - 1
Pi
Y₁
0
-0.0254
-0.0144
-0.0052
0
dv)
Y = Yu (x)
dx
y = Ye (x)
Pu
1.000
-1.640
-0.786
-0.212
0
x
Pi
1.000
0.589
0.426
0.322
0
Use finite difference approximations of the derivatives and the composite Simpson's rule to
evaluate the integrals. Hint: Use central differences to estimate the derivatives wherever
possible since they are more accurate than forward or backward differences.
Transcribed Image Text:2. The table below shows experimental data for the shape and pressure distribution on the upper and lower surface of an airfoil at zero angle of attack. X 0 0.25 0.5 0.75 1 Y Fx = Yu 0 0.0952 0.0922 0.0588 0 (Pu dYu dx - Calculate the drag and lift force on the airfoil by numerically evaluating the integrals Fy (P₁-P₂)dx = √ ( P₁ - 1 Pi Y₁ 0 -0.0254 -0.0144 -0.0052 0 dv) Y = Yu (x) dx y = Ye (x) Pu 1.000 -1.640 -0.786 -0.212 0 x Pi 1.000 0.589 0.426 0.322 0 Use finite difference approximations of the derivatives and the composite Simpson's rule to evaluate the integrals. Hint: Use central differences to estimate the derivatives wherever possible since they are more accurate than forward or backward differences.
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