ME 152A
Fall 2008
Introduction to Fluid Mechanics
S. Pennathur
HW 6
Due Friday, November 21
st
at 5pm
Use
Comsol V3.3 or V3.4
(in the Cad Lab) to investigate a flow below:
Poiseuille flow
between two infinite parallel plates, where both plates are fixed and
the flow is driven by a constant pressure gradient.
PART I:
Assume:
A finite channel that is
H
= 1
mm high and
L
= 5 mm long. Assume
that the flow enters the channel from the left with a uniform velocity of
U
= 1
mm/s, and the pressure is
p
= 0 (gauge) at the exit. Assume that the working
fluid is water, with a density of
ρ
=
1000 kg/m
3
and
μ
=
0.001 N s/m
2
Find:
1. Plot the mesh. Make sure the mesh sufficiently resolves the flow.
2. Plot the 2D velocity field throughout the channel. At what point (how far
down in the xdirection) does the velocity field converge to fully developed
flow as calculated in class?
3. Plot a velocity profile at a down stream cross section of the channel and
directly plot it against the analytical velocity profile calculated in class.
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 Spring '08
 Meinhart,C
 Fluid Dynamics, Fluid Mechanics, velocity field

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