Question
the angular velocity profile was determined for steady, fully-developed laminar flow between vertical concentric cylinders with the inner cylinder (of radius R1) stationary and
the angular velocity profile was determined for steady, fully-developed laminar flow between vertical concentric cylinders with the inner cylinder (of radius R1) stationary and the outer cylinder (of radius R2) rotating at a constant speed; the resulting equation was: R2 wR1 R, -R1 ve 2 R1 R1 1 R2 | a) Show that the equation above satisfies the 'no-slip' boundary condition for the inner stationary cylinder. b) Prove that the equation above satisfies the following governing equation of motion that was obtained from a simplification of the Navier-Stokes equations in cylindrical coordinates: a (1 a lr (Fr Irvel)}
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Fundamentals of Thermal-Fluid Sciences
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
5th edition
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