Asymptotic solution for large Prandtl number for the flow of a power-law fluid through a porous medium over a rotating disk with heat transfer and viscous dissipation

Abstract

The steady flow with heat transfer through a porous medium of a non- Newtonian power-law fluid due to the uniform rotation of a disk of infinite extent is studied. The porous medium is assumed to obey Darcy's model which accounts for the drag exerted linearly by the porous medium on the steady flow. Von Karman similarity transformation is used to transform the governing boundary layer partial differential equations to ordinary differential equations. Therefore, the resulting momentum equations as well as the energy equations including the viscous dissipation term are solved asymptotically for large values of the porosity parameter and Prandtl number.

Keywords

• rotating disk
• porous medium
• non-Newtonian fluid
• power-law fluid
• heat transfer
• viscous dissipation
• asymptotic solution