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Problem 5.22
[Difficulty: 2]
Given:
Flow between parallel disks as shown. Velocity is purely tangential. Noslip
condition is satisfied, so velocity varies linearly with z.
Find:
An expression for the velocity field
Solution:
We will apply the continuity equation to this system.
0
1
1
t
V
z
V
r
V
r
r
r
z
r
Governing
Equations:
(Continuity equation)
k
V
e
V
e
V
V
z
r
r
ˆ
ˆ
ˆ
(Velocity flow field)
Assumptions:
(1) Incompressible flow (
ρ
is constant)
(2) Purely tangential flow
(3) Linear velocity variation with z
0
V
Based on the first two assumptions, the continuity equation reduces to:
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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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