Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 10, Problem 10.18P
Consider a centered expansion wave where
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The stream function relation is given as:
Y = xy
Find the equations for the components of velocity. Check if we satisfy continuity. Also, plot
streamlines for a constant y=4 and y=1.
The velocity axis flow function of the ideal fluid for flow in the plane,It is given as (given equation in the picture). It shows the main interactions in units of x and y meters.
a) Determine the velocity components of the flow and determine if flow is physically possible?
b) Calculate the pressure difference between points A (2, 2) and B (3, 3).
c) Calculate the unit width flow (q) passing between the points A (2, 2 ) and B (3, 3).
(given equation in the picture). Thank you indeed.
Question 3 : A line source at y-axis is located 1 m above the horizontal plate (x-axis), where the flow rate per unit length is,
m²/s.. (a) Using x, and, y, in m, write the stream function of the potential flow in both Cartesian and polar coordinates. (b)
Express the radial component velocity in polar coordinates and hence find the velocity magnitude at, x = 0, and, y = 2. (c)
Calculate the radial and angular component velocity at, x = 1, and, y 1, and hence find the velocity magnitude and
direction. (d) If the source is placed near a corner where the distance from horizontal and vertical plate are 1 m, determine
the stream function of the potential flow and find the velocity on the horizontal plate right below the source.
=
Chapter 10 Solutions
Fundamentals of Aerodynamics
Ch. 10 - The reservoir pressure and temperature for a...Ch. 10 - A flow is isentropically expanded to supersonic...Ch. 10 - A Pitot tube inserted at the exit of a supersonic...Ch. 10 - For the nozzle flow given in Problem 10.1, the...Ch. 10 - A closed-form expression for the mass flow through...Ch. 10 - Prob. 10.6PCh. 10 - A convergent-divergent nozzle with an...Ch. 10 - For the flow in Problem 10.7, calculate the mass...Ch. 10 - Consider a convergent-divergent nozzle with an...Ch. 10 - A 20 half-angle wedge is mounted at 0 angle of...
Ch. 10 - The nozzle of a supersonic wind tunnel has an...Ch. 10 - We wish to design a supersonic wind tunnel that...Ch. 10 - Consider a rocket engine burning hydrogen and...Ch. 10 - For supersonic and hypersonic wind tunnels, a...Ch. 10 - Return to Problem 9.18. where the average Mach...Ch. 10 - Return to Problem 9.19, where the average Mach...Ch. 10 - A horizontal flow initially at Mach I flows over a...Ch. 10 - Consider a centered expansion wave where M1=1.0...
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