Middle East Technical University
Department of Chemical Engineering
ChE 222 – Fluid Mechanics
A
pril 21, 2011
Homework VIII
(Due April 28, 2011)
1. Water is flowing horizontally through a long straight smooth 15 cm ID pipe at a
temperature of 20°C. The pressure gradient along the length of the pipe is 4.28
Pa/m.
a) Determine the wall shear stress in Pa
b) Assuming the flow to be turbulent, determine the radial distances from the pipe
wall at which V/V
max
= 0.0, 0.1, 0.2, 0.4, 0.7, 0.86 and 1.0.
c) Plot the complete velocity profile, V/V
max
versus y=Rr
d) Is the assumption of the turbulent flow, justified?
e) What is the volume rate of flow?
f) Determine the friction factor.
2. The figure below represents an elevated tank connected to a pipeline. The system
contains water at 80°C. What must be the height of the water surface in the tank to
produce a discharge of 0.568 m
3
/min. The water is discharged into the atmosphere.
1
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3. In the manufacture of paper pulp, the cellulose fibers of wood chips are freed from
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 Spring '12
 TülayÖzbelge
 Fluid Dynamics, Chemical Engineering, East Technical University, wood chips, cm ID pipe, complete velocity profile

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