Analytical solution for a steady flow of enclosed rotating disks (Q1338723)

An analytical solution is presented for the steady flow of an incompressible viscous fluid between two finite disks enclosed by a cylindrical container for small Reynolds number (\(\text{Re}\leq 10\)). The general solution is valid for all choices of the aspect ratio (\(\delta)\) and different cases of disk to cylinder rotation rates \((s)\). An expression for the torque acting on the disk is obtained. The tangential velocity distribution is calculated and presented graphically for different values of \(\delta\) and \(s\).