Connect with LearnSmart for Anderson: Fundamentals of Aerodynamics, 6e
Connect with LearnSmart for Anderson: Fundamentals of Aerodynamics, 6e
6th Edition
ISBN: 9781259683268
Author: Anderson, John
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 2, Problem 2.10P

Consider a flow field in polar coordinates, where the stream function is given as ψ = ψ ( r , θ ) . Starting with the concept of mass flow between two streamlines, derive Equations (2. 148a and b).

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A fluid flows along a flat surface parallel to the x-direction. The velocity u varies linearly with y, the distance from the wall, so that u = ky. (a) Find the stream function for this flow. (b) Is this flow irrotational?  
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