# Return to Problem 9.18, where the average Mach number across the two-dimensional

Return to Problem 9.18, where the average Mach number across the two-dimensional flow in a duct was calculated, and where θ for the upper wall was 3. Assuming quasi-one dimensional flow, calculate the Mach number at the location AB in the duct.

Data from Problem 9.18:

Consider a two-dimensional duct with a straight horizontal lower wall, and a straight upper wall inclined upward through the angle θ = 3. The height of the duct entrance is 0.3 m. A uniform horizontal flow at Mach 2 enters the duct and goes through a Prandtl-Mayer expansion wave centered at the top corner of the entrance. The wave propagates to the bottom wall, where the leading edge (the forward Mach line) of the wave intersects the bottom wall at point A located at distance xA from the duct entrance. Imagine a line drawn perpendicular to the lower wall at point A, and intersecting the upper wall at point B. The local height of the duct at point A is the length of this line AB. Calculate the average flow Mach number over AB, assuming that M varies linearly along that portion of AB inside the expansion wave.

Related Book For

Fundamentals Of Aerodynamics

6th Edition

Authors: John Anderson

ISBN: 9781259129919

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