A Simple Analytical Expression of Non–Linear  Boundary Value Problem for Steady State  Thermal Criticality in Viscous Reactive Flows  Through Channels With A Sliding Wall

V. Ananthaswamy; S. Mythili

Volume : III, Issue : III, March - 2014

A Simple Analytical Expression of Non–Linear Boundary Value Problem for Steady State Thermal Criticality in Viscous Reactive Flows Through Channels With A Sliding Wall

V. Ananthaswamy, S. Mythili

Abstract :

In this article, we present the steady state solutions for viscous reactive flows through channels with a sliding wall. The reaction is assumed to be strongly exothermic under arrhenius kinetics, neglecting the consumption of the material. The simple analytical expression of the dimensionless temperature is derived for non–linear boundary value problem using the Homotopy perturbation method. We also compared our analytical results with perturbation method (previous work) and a satisfactory agreement is noted. The present approaches are very less computational, simple and are applicable for solving other strongly non–linear boundary value problems.