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Problem 2.53
[Difficulty: 2]
F
x
r
d
D
L
Given:
Varnishcoated wire drawn through die
Find:
Force required to pull wire
Solution:
Governing equations:
τ
yx
μ
du
dy
⋅
=
Σ
F
x
Ma
x
⋅
=
Assumptions:
Laminar flow; linear velocity profile in varnish layer
The given data is
D1
m
m
⋅
=
d
0.9 mm
⋅
=
L5
0
m
m
⋅
=
V5
0
m
s
⋅
=
μ
20
10
2
−
×
poise
=
Equation of motion
Σ
F
x
x
⋅
=
so
FF
v
−
0
=
for steady speed
The friction force is
F
v
τ
yx
A
⋅
=
μ
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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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