Heat and mass transfer of the flow due to a rotating rough and porous disk

The present paper is an extension of the traditional Von Karman swirling flow problem where the rotating disk surface admits partial slip in the presence of a uniform suction or injection. Using the Karman similarity transformations, the partial differential equations governing the heat and flow motion are transformed into a system of ordinary differential equations which are then treated numerically. The existence of numerical results are verified through a theoretical analysis and also they are supported by asymptotic expressions in the case of large suction limit. Effects of wall roughness and temperature jump on the heat and mass transfer are further discussed.

► The overall impact of surface roughness is to decrease heat and mass transfer.
► The slip allowed in the azimuthal direction effectively reduces the torque.
► Increasing values of slip parameters lead to a continuous decrease in the radial shear stress.
► Theoretical and asymptotical analysis support the numerical outcome.