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 «R and R, respectively. The angular velocities of rotation of the inner and outer cylinders are , and 2. Determine the velocity distribution in the fluid and the torques exerted by the fluid on the two cylinders needed to maintain the motion. (b) Repeat part (a) for two concentric spheres.

Structural Analysis
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Chapter2: Loads On Structures
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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 «R and R, respectively.
The angular velocities of rotation of the inner and outer cylinders are , and 2. Determine
the velocity distribution in the fluid and the torques exerted by the fluid on the two
cylinders needed to maintain the motion.
(b) Repeat part (a) for two concentric spheres.
Transcribed Image Text: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 «R and R, respectively. The angular velocities of rotation of the inner and outer cylinders are , and 2. Determine the velocity distribution in the fluid and the torques exerted by the fluid on the two cylinders needed to maintain the motion. (b) Repeat part (a) for two concentric spheres.
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