Consider an infinitely thin flat plate with a 1 m chord at an angle of attack of 10◦ in a supersonic flow. The pressure and shear stress distributions on the upper and lower surfaces are given by pu = 4 × 104(x − 1)2 + 5.4 × 104, pl = 2 × 104(x − 1)2 + 1.73 × 105, τu = 288x−0.2, and τl = 731x−0.2, respectively, where x is the distance from the leading edge in meters and p and τ are in newtons per square meter. Calculate the normal and axial forces, the lift and drag, moments about the leading edge, and moments about the quarter chord, all per unit span. Also, calculate the location of the center of pressure.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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Consider an infinitely thin flat plate with a 1 m chord at an angle of attack
of 10◦ in a supersonic flow. The pressure and shear stress distributions on
the upper and lower surfaces are given by pu = 4 × 104(x − 1)2 +
5.4 × 104, pl = 2 × 104(x − 1)2 + 1.73 × 105, τu = 288x−0.2, and
τl = 731x−0.2, respectively, where x is the distance from the leading edge
in meters and p and τ are in newtons per square meter. Calculate the
normal and axial forces, the lift and drag, moments about the leading
edge, and moments about the quarter chord, all per unit span. Also,
calculate the location of the center of pressure.

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ISBN:
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