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Due Date: Friday, 092305
This homework set # 5 is for the lecture on timedependent and 2Dvelocity velocity
profile. Note that, there is a homework set #6 for the turbulent flow posted soon on
the blackboard. The due date for HW set #6 is also on Friday, 092305.
Problem #1
:
A sphere of radius R is falling in creeping flow with a terminal velocity u
∞
through a
quiescent fluid of viscosity μ. At what horizontal distance from the sphere does the
velocity of the fluid fall to 1% of the terminal velocity of the sphere?
Problem #2:
Recall the example of flow around a solid sphere (see textbook, Example 4.2.1)
When a liquid flows around a gas bubble, circulation takes place within the bubble. Thus
circulation lowers the interface shear stress, and, to a first approximation, we may assume
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 Fall '08
 Peters

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