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Due:
In class, Friday
December 2, 2005
Name(s)
(up to three students per homework set)
:
1.
2.
3.
For instructor or TA use only:
Problem
Score
Points
1
15
2
10
3
25
4
20
5
15
6
15
ME 33
Fall Semester, 2005
Homework Set # 10
Professor J. M. Cimbala
Total:
100
1
. (15 pts)
Text Problem 4.90
. Do the text problem as Part (a) of this homework problem.
Additional Parts
:
(
b
) Calculate the
r

x
component of the shear stress, i.e.,
τ
=
rx
, and calculate
along the inner wall of the cylinder.
Hint
:
Use Eq. 963, where here
x
is used for the axial coordinate instead of
z
.
(
c
) Integrate shear stress along the pipe wall for a horizontal pipe of length
L
from location 1 to location 2, and generate an
expression for the pressure drop
∆
P
=
P
1
–
P
2
. Verify that your result makes physical sense from the definition of
dP
/
dx
.
2
. (10 pts)
Text Problem 7.50
.
3
.
(25 pts)
Water (
ρ
= 1000 kg/m
3
,
µ
= 1.00
×
10
3
kg/m
⋅
s) is pumped from a
large reservoir to another large reservoir whose surface is
∆
z
res
= 7.3 m higher,
as sketched (not to scale). The piping is of constant inner diameter
D
= 2.5 cm
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This note was uploaded on 07/23/2008 for the course ME 33 taught by Professor Cimbala during the Fall '05 term at Pennsylvania State University, University Park.
 Fall '05
 CIMBALA

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