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CBE 320
September 20, 2010
Transport Phenomena
Problem Session III
Part B: Shell Momentum Balances
1. Work Problem 2A.2 in BSL.
2. Work Problem 2A.3 in BSL.
3. Work Problem 2B.7 in BSL.
4. Work Problem 2B.11 in BSL.
5.
Flow in a Tube with Wall Slip
While the noslip boundary condition is appropriate most of the time, some time it is not (e.g., for
low density gases or some high molecular weight polymers). Consider the pressuredriven flow of
an incompressible, Newtonian fluid (constant
ρ
,
μ
) in a horizontal tube (radius
R
, length
L
). For
this problem, assume that the noslip boundary condition is no longer valid; instead, use the “slip
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Unformatted text preview: boundary condition,” v z =ζ dv z dr at r = R, where ζ is a constant (the slip coefficient). This boundary condition should result in a nonzero velocity at the wall, as depicted in the figure below. z r p p L g L v r z ( ) a. Using a shell momentum balance and this new boundary condition, derive the steadystate velocity profile, v z ( r ) . b. What are the dimensions of the coefficient ζ ? 1...
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This note was uploaded on 09/23/2010 for the course CBE 310 taught by Professor Idk during the Spring '10 term at Wisconsin.
 Spring '10
 idk

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