A Note on Unsteady Temperature Equation For Gravity Flow of A Power-Law Fluid Through A Porous Medium

Abstract

We present an analytical study of unsteady temperature energy equation for gravity of a fluid with non – Newtonian behaviour through a porous medium. For the case of radial axisymmetric flow, the governing partial differential equation is transformed into an ordinary differential equation through similarity variables. It is further assumed that the viscosity is temperature dependent. We investigate the effects of velocity on the temperature field. Theorems on existences and uniqueness of solution are formulated based on some criteria and the proofs of the theorem are established.

Keywords: Unsteady temperature equation, Non – Newtonian power-law fluid porous media and gravity flows.