On the analysis of the Erying Powell model based fluid flow in a pipe with temperature dependent viscosity and internal heat generation

Abstract

In this study the flow and heat transfer of a non Newtonian Erying Powell fluid flow in a pipe is investigated. The nonlinear ordinary equations arising from the mechanics of the model based fluid is analysed using the regular pertubation technique for both temperature dependent viscosities of Reynold and Vogels. Also the effect of fluid parameters such as pressure gradient, non Newtonian parameter and heat generation term are examined on the flow and heat transfer. Obtained solutions in this paper may be used to advance studies in thin film flow, polymer processing and paper production. Results from analyses when compared to existing literature forms good agreement. Keywords: Erying Powell, Pipe, Temperature dependent viscosities, Heat generation, Perturbation