A solid sphere of radius R is rotating slowly at a constant angular velocity ' ' in a large body of quiescent fluid as shown in figure 2 (Appendix-I). Develop expressions for the pressure and velocity distributions in the fluid using shell momentum balances (refer figure 3). Also find out the torque required to maintain the motion. Assume that the sphere rotates sufficiently slowly so that one can conveniently use the creeping flow assumption. Appendix-A Figure 1: Velocity distribution and z-momentum Balance for the flow of a falling film on the outside of a circular tube. Figure 2: A slowly rotating sphere in an infinite expanse of fluid Figure 3: Differential Volume Elemen
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