Fundamentals of Aerodynamics
Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 9, Problem 9.18P

(The purpose of this problem is to calculate a two-dimensional expanding supersonic flow and compare it with the analogous quasi-one-dimensional flow in Problem 10.15.) 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-Maycr 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 x A 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.

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Air flows through a constant cross-section conduit with Mack number Ma = 1 at 200 KPa pressure and 100°C temperature. State the necessary assumptions and calculate:    d) With the specified inlet velocity a gas is flowing isentropically in the converging duct. At the throat if we assume that the velocity is supersonic, how does the mass flow rate be affected compared to sonic velocity at the throat. How could supersonic velocity can be achieved in this case?     Note :   (The properties of air at room temperature are R = 0.287 kPa.m3/kg.K and k = 1.4.)   please answer my question , please help me ,  don't use hand write , I need by Ms word
Air flows through a constant cross-section conduit with Mack number Ma = 1 at 200 KPa pressure and 100°C temperature. State the necessary assumptions and calculate, (a) stagnation temperature (b) stagnation pressure, and (c) stagnation density.(d) With the specified inlet velocity a gas is flowing isentropically in the converging duct. At thethroat if we assume that the velocity is supersonic, how does the mass flow rate be affectedcompared to sonic velocity at the throat. How could supersonic velocity can be achieved in thiscase?
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