Steady flow of reactive power law fluid in a cylindrical pipe with an isothermal wall

An analysis is carried out to study the steady state solutions of a strongly exothermic reaction of a power law combustible fluid in a cylindrical pipe under Arrhenius kinetics. The problem is formulated in term of non-linear differential equations. Exact solution for velocity profile is constructed from non-linear momentum equation, while approximate solution for non-linear energy equation is obtained by using Homotopy perturbation method. In order to obtain a clear insight of the physical problem, the velocity and temperature behaviors are discussed for different dimensionless parameters involved in the governing equations. Graphical representations and discussions are also presented.