Question: A solid sphere of radius R is rotating slowly at a constant angular velocity Q in a large body of quiescent fluid (see Fig. 2).

 A solid sphere of radius R is rotating slowly at a

A solid sphere of radius R is rotating slowly at a constant angular velocity Q in a large body of quiescent fluid (see Fig. 2). The torque T, is required to maintain the motion. It is assumed that the sphere rotates sufficiently slowly that it is appropriate to use the creeping flow version of the equation of motion. 1) Write down the assumptions you can make about each of the above flow situation. 2) Then starting with Navier-Stokes equations, cancel (remove) those terms which you believe will be zero on the basis of the assumptions you have made. 3) establish boundary conditions. Torque T, is required to make the sphere rotate Po Fig. 2 A slowly rotating sphere in an infinite expanse of fluid

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