Consider a flat plate oriented at a 90° angle of attack in a low-speed incompressible flow. Assume that the pressure exerted over the front of the plate (facing into the flow) is a constant value over the front surface, equal to the stagnation pressure. Assume that the pressure exerted over the back of the plate is also a constant value, but equal to the free-stream static pressure. (In reality, these assumptions are only approximations to the real flow over the plate. The pressure over the front face is neither exactly constant nor exactly equal to the stagnation pressure, and the pressure over the back of the plate is neither constant nor exactly equal to the free-stream pressure. The preceding approximate model of the flow, however, is useful for our purpose here.) Note that the drag is essentially all pressure drag; due to the 90° orientation of the plate, skin friction drag is not a factor. For this model of the flow, prove that the drag coefficient for the flat plate is CD = 1.
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