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ECH 3264:
Elementary Transport Phenomena
Exam #3
March 26, 2008
Name:
Closed book and notes. No calculators. The relevant tables from Appdx. B in BSL are attached. You are allowed
one formula sheet (front and back). Start each problem on a new page.
DO NOT use the back of a page.
Write
clearly your assumptions and any parameter definitions. Show your work to get maximum credit. It is helpful to
the grader (and to you) if you box intermediate and final answers.
Useful information:
rL
SA
r
SA
L
r
V
r
V
cylinder
sphere
cylinder
sphere
π
2
4
3
4
2
2
3
=
=
=
=
(1)
(5 pts)
For a Newtonian fluid the equation of motion reduces to the NavierStokes
equation, which is given below in vectortensor notation.
Which terms are eliminated in the above equation for (a) creeping flow and (b) inertial
dominated flow. Justify the approximations.
(2)
(15 pts)
Consider an infinitely long cylinder with radius R immersed in a
incompressible Newtonian fluid (
µ
,
ρ
). The cylinder is rotated slowly with angular velocity
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 Spring '09
 ASTHAGIRI

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