Analysis of Reactive Flow of Third-grade Exothermi Chemical Reaction with Variable Viscosity and Convective Cooling
J. F. Baiyeri *
Department of Mathematics, Yaba College of Technology, Yaba, Nigeria.
M. A. Mohammed
Department of Mathematics, Yaba College of Technology, Yaba, Nigeria.
O. A. Esan
Department of Mathematics, Yaba College of Technology, Yaba, Nigeria.
T. O. Ogunbayo
Department of Mathematics, Yaba College of Technology, Yaba, Nigeria.
O. E. Enobabor
Department of Mathematics, Yaba College of Technology, Yaba, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The study examines incomprssible laminar Poiseuille flow of a non-Newtonian fluid and heat transfer in a cooling convective fixed wall. The third-grade exothermic reactive fluid is stimulated by heat generation, gradient pressure and thermal buoyancy force. The convective exchange of temperature with the ambient takes after Newtons cooling law. Transilation of the formulated equations to the non-dimensional form is done using relevance quantities and solutions to the nonlinear equations are provided by employing Weighted residual techniques. The obtained solutions for the flow rate, energy, flow wall friction and temperature gradient are graphically plotted for the reactive flow system. Numerical validation of results in comparison with the presented method of solution is carried out. The results revealed that some parameters which are strong heat generation or source should be consciously guided to avoid reactive solution blow up in the exothermic system.
Keywords: Reactive fluid, poiseuille flow, convective cooling, exothermic reaction, weighted residual.