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HW28solution

# HW28solution - Use the result of HW27 1 1 1 2 R T p A m o o...

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AAE 334 Fall 2011, Homework 28 SOLUTIONS Due Monday, November 28 at the beginning of class. 1. Solve for the mass flow through a choked throat of a converging-diverging nozzle with: - upstream stagnation condition conditions o p = 1MPa and o T =300K - throat area of A = 10cm 2 - gas properties for air as an ideal gas, - steady quasi-one-dimensional flow, and - an isentropic process from upstream stagnation conditions to the throat. 2. Solve for the mass flow through a choked throat of a converging-diverging nozzle with: - upstream stagnation condition conditions o p = 150psi and o T = 70 o F - throat area of A = 5 in 2 - gas properties for air as an ideal gas, - steady quasi-one-dimensional flow, and - an isentropic process from upstream stagnation conditions to the throat.
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Unformatted text preview: Use the result of HW27: 1 1 1 2 R T p A m o o to compute the results. Rewrite slightly to group the dimensionless constants together: o o o o RT p A RT p A m 0.6847 1 2 1 1 Thus, for part 1, 2 4 2 1 1 6 2 10 300 287 10 10 0.6847 cm m K K kg J Pa cm m which results in 1 33 . 2 s kg m For part 2, R R slug lb ft psi in m 530 1716 150 . 5 0.6847 1 1 2 which results in 1 539 . s slug m...
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