Repeat Prob. 9–102 except swap the stationary and moving cylinder. In particular, let the inner cylinder be stationary, and let the outer cylinder be moving at steady velocity V to the right, all else being equal. Generate an expression for the x-component of velocity u as a function of r and the other parameters in the problem.

Data from Problem 102

Consider again the pipe annulus sketched in Fig. P9–101. Assume that the pressure is constant everywhere (there is no forced pressure gradient driving the flow). However, let the inner cylinder be moving at steady velocity V to the right. The outer cylinder is stationary. (This is a kind of axisymmetric Couette flow.) Generate an expression for the x-component of velocity u as a function of r and the other parameters in the problem.

FIGURE P9–101

Transcribed Image Text:

X Outer pipe wall Fluid: p.u Ri Ro əP P2-P дх Х2-X1 . X2 P2