94: Repeat Prob. 9–93, but let the inner cylinder be stationary and the outer cylinder rotate at angular velocity ?o. Generate an exact solution for u?(r) using the step-by-step procedure discussed in this chapter. I have done 9-93 and know it is on here already but here is the problem statement for it: 9-93: An incompressible Newtonian liquid is
9-94: Repeat Prob. 9–93, but let the inner cylinder be stationary and the outer cylinder rotate at angular velocity ?o. Generate an exact solution for u?(r) using the step-by-step procedure discussed in this chapter.
I have done 9-93 and know it is on here already but here is the problem statement for it:
9-93: An incompressible Newtonian liquid is confined between two concentric circular
cylinders of infinite length— a solid inner cylinder of radius Ri and a hollow, stationary
outer cylinder of radius Ro (Fig. P9–93; the z-axis is out of
the page). The inner cylinder rotates at angular velocity ?i .
The flow is steady, laminar, and two-dimensional in the
r? -plane. The flow is also rotationally symmetric, meaning
that nothing is a function of coordinate ? (u? and P are
functions of radius r only). The flow is also circular,
meaning that velocity component ur = 0 everywhere.
Generate an exact expression for velocity component u? as
a function of radius r and the other parameters in the
problem. You may ignore gravity. (Hint: The result of
Prob. 9–92 is useful.
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