Exact solutions for laminar periodic non-axisymmetric slip flow of a viscous incompressible fluid due to a porous rotating disk

An exact analytical solution of the steady, three-dimensional Navier - Stokes equations is obtained for the case of flow due to a porous disk rotating with a constant angular velocity, where the disk surface admits partial slip. The basic equations have been solved by reducing them to second order ordinary differential equations with appropriate boundary conditions. The temperature distribution in the flow field is also investigated in the case when the disk is maintained at constant temperature and heat is being transferred from the disk to the fluid. The influence of the slip parameter and other pertinent parameters on the velocity and the temperature profiles are discussed. Finally, the results obtained are shown graphically for various parameters. The main finding is that the velocity and temperature profiles are greatly influenced by the slip parameter.