Flow between coaxial cylinders and concentric spheres. (a) The space between two coaxial cylinders is filled with

Question:

Flow between coaxial cylinders and concentric spheres.

(a) The space between two coaxial cylinders is filled with an incompressible fluid at constant temperature. The radii of the inner and outer wetted surfaces are KR and R, respectively. The angular velocities of rotation of the inner and outer cylinders are Ω, and Ω₀. Determine the velocity distribution in the fluid and the torques on the two cylinders needed to maintain the motion.

(b) Repeat part (a) for two concentric spheres.

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