Homework Set #5:
Due date: 10/20/06, by 11:00 am.
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.
(c) Plot the complete velocity profile,
versus r/R.
(d) Is the assumption of turbulent flow justified?
Problem #3:
For turbulent flow in a smooth circular tube, the function
is sometime useful curve fitting purposes: near Re = 4 10
3
, n = 6; near Re = 1.1 10
5
, n = 7; and
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 Spring '08
 Peters
 Fluid Dynamics, 4 g, 1.32 g, 1.97 m

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