ME 320 Winter 2007
Sample Exam 2
Problem 1
: A viscousshear pump is made from a stationary housing with a closefitting rotating drum
inside, as shown in the figure. The clearance is small compared to the drum diameter so flow in the
annular space may be treated as flow between parallel plates. Fluid dragged around the annulus by
viscous forces and ejected through the outlet (a seal between the inlet and outlet prevents leakage).
Evaluate the performance characteristics of the shear pump (pressure differential, input power, and
efficiency) as functions of volume flow rate
Q
. Assume that the depth normal to the diagram is
b
.
Problem 2
: A simple slider bearing has a uniform taper from the inlet, where the gap is
b
1
, to the exit,
where the gap is
b
2
. The bottom surface moves at a steady speed
V
as shown. The local channel height
is
h
. Assuming
v
=
w
= 0, answer the following questions.
(a)
From the NavierStokes Equation, show that the flow rate per unit depth normal to the figure
can be written as
dx
dP
h
Vh
q
μ
12
2
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 Fall '08
 IM
 Fluid Dynamics, Shear, Drag force, dP dP dh

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