Asymptotic analysis on unsteady gravity flow of a power-law fluid flow through a porous medium
We present a paper on the asymptotic analysis of unsteady gravity flows of a power-law fluid through a porous medium. The fluids is Pseudo-plastic for n<1, Dilatant fluids for n>1 and Newtonian fluids for n=1.We assumed that porosity is large and analytical solutions are sought asymptotically. For the case of radial axisymmetric flow, the governing partial differential equations were transformed into an ordinary differential equations through similarity variable. It is further assumed that the viscosity is temperature dependent. We investigate the effects of velocity on the temperature field and the results obtained are discussed.