Ae311_fall_2011_hw_2

# Ae311_fall_2011_hw_2 - Prof Daniel J Bodony AE311 Fall 2011...

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Prof. Daniel J. Bodony AE311, Fall 2011 HW #2 Due 5 pm Friday, September 16, in the AE311 dropbox Problem 1 Consider the steady flow of a water jet impinging on a stationary vane as shown below. Determine the force required to hold the vane in place. Assume the jet follows the surface of the vane in a smooth manner and has the same shape and area at the exit so that the pressure in the fluid is the same as the ambient pressure. Problem 2 Consider the same vane as in Problem 2 now in uniform motion along the x-direction with speed V v which is less than V j . Find the force necessary to keep the vane moving at a constant velocity, that is, to prevent it from accelerating. Problem 3 A jet engine is being tested statically on a test stand. The inlet velocity is 152.4 m / s and the exhaust gases leave at a velocity of 1066.8 m / s. The air at the inlet and the exhaust gases at the exit are at atmospheric pressure. The fuel-to-air ratio is 1 / 50 and the inlet and exhaust areas are both 2 ft 2 . The density of air entering is 1.236 kg / m 3 .

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