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Consider fully developed laminar flow in the annular space formed by the two concentric cylinders shown in the diagram for Problem 8.36, but with pressure gradient, ∂p/∂x, and the inner cylinder stationary. Let r0 = R and ri = kR. Show that the velocity profile is given by
Show that the volume flow rate is given by
Compare the volume flow rate for the limiting case, k → 0, with the corresponding expression for flow in a circular pipe.
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Fox and McDonald's Introduction to Fluid Mechanics
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