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.
All Science Journal Classification (ASJC) codes
- Applied Mathematics