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In: Mechanical Engineering

A solid sphere of radius R is rotating with angular velocity w (omega) in otherwise still...

A solid sphere of radius R is rotating with angular velocity w (omega) in otherwise still infinite fluid of density p (rho) viscosity u (mu).

(a) For creeping flow assumptions to hold, which condition(s) has to be satisfied?

(b) Under creeping flow assumption, solve the velocity field in the flow. Does the solution still satisfy the creeping flow assumption at the far field?

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