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Homework set #6
Due date: 092305
Problem #1
:
A fluid with viscosity 18.3 cp and density 1.32 g/cm3 is flowing in a long horizontal tube
of radius 1.05 in (2.67 cm). For what pressure gradient will the flow become turbulent?
Problem #2:
Water is flowing through a long, straight, level run of smooth 6.00 in inner diameter pipe,
at temperature 68
0
F. The pressure gradient along the length of the pipe is 1 psi/mile.
(a)
Determine the wall shear stress
τ
0
in Pa?
(b)
Assume the flow to be turbulent and determine the radial distance from the pipe
wall at which
, using Fig. 5.53 in the
textbook (second edition), also available in the lecture note. Pay attention at the
definition of dimensionless variables.
,max
0.0
0.2
uu
=
, 0.1,
, 0.4, 0.7, 0.85, 1.0
/
zz
(c)
Plot the complete velocity profile,
versus r/R.
(d)
Is the assumption of turbulent flow justified?
,max
/
Problem#3:
For turbulent flow in a smooth circular tube, the function
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This note was uploaded on 09/01/2011 for the course PGE 312 taught by Professor Peters during the Fall '08 term at University of Texas at Austin.
 Fall '08
 Peters

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