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(a) Show that this represents an incompressible velocity field
(b) the rotation of the flow
(c) Plot several streamlines in the upper half plane
Problem 5.80
[Difficulty: 2]
Given:
Flow field represented by a stream function.
Find:
Solution:
We will apply the definition of rotation to the given velocity field.
V
2
1
Governing
Equation:
(Definition of rotation)
Assumptions:
(1) Steady flow
(2) Incompressible flow
From the definition of the stream function:
u
y
ψ
Ax
2A
y
v
x
ψ
A
y
Applying the continuity equation:
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Fluid Mechanics

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