Question: A solid circular cylinder of radius R rotates at angular velocity Ω in a viscous incompressible fluid which is at rest far from the cylinder,

A solid circular cylinder of radius R rotates at angular velocity Ω in a viscous incompressible fluid which is at rest far from the cylinder, as in Fig. P4.82. Make simplifying assumptions and derive the governing differential equation and boundary conditions for the velocity field vθ in the fluid. Do not solve unless you are obsessed with this problem. What is the steady-state flow field for this problem? Fig. P4.82

vo(r. 6. 1) r=R

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