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(a) Expression for the velocity field
(b) Show that flow field is irrotational
(c) Plot several streamlines and illustrate velocity field
Problem 5.81
[Difficulty: 3]
Given:
Flow field represented by a stream function.
Find:
Solution:
We will apply the definition of circulation to the given velocity field.
V
2
1
Governing
Equation:
(Definition of rotation)
Assumptions:
(1) Steady flow
(2) Incompressible flow
j
x
i
y
V
ˆ
2
ˆ
2
From the definition of the stream function:
u
y
ψ
2
y
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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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