Consider a flat surface in an aerodynamic flow (say a flat sidewall of a wind tunnel). The dimensions of this surface are 3 ft in the flow direction (the x direction) and 1 ft perpendicular to the flow direction (the y direction). Assume that the pressure distribution (in pounds per square foot) is given by p = 2116 — 10x and is independent of y. Assume also that the shear stress distribution (in pounds per square foot) is given by Tw = 90/(x + 9)1/2 and is independent of y. In these expressions, x is in feet, and x = 0 at the front of the surface. Calculate the magnitude and direction of the net aerodynamic force on the surface.
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