Heat and Mass Transfer Effects on Unsteady MHD Fluid Embedded in Inclined Darcy-Forchemmer Porous Media with Viscous Dissipation and Chemical Reaction
S. A. Amoo *
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
G. Ajileye
Department of Mathematics and Statistics, Federal University Wukari, Wukari, Nigeria.
A. O. Amoo
Department of Biochemistry, University of Ilorin, Ilorin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The Darcy-Forchemmer in fluid-saturated porous media finds application in a variety of engineering processes such as heat exchanger devices, chemical catalytic reactors and metallurgical applications-hot rolling of wires, drawing of metals and plastic extrusion. Also, entrepreneurial development helps in developing MHD power generation systems. The study therefore, investigated unsteady nonlinear MHD fluid embedded in an inclined Darcy-Forchemmer in an inclined porous media. The governing partial differential equations of the model are reduced to a system of coupled nonlinear ordinary differential equations by applying similarity variables and solved numerically using shooting with fourth-order Runge-Kutta method. The local similarity solutions for different values of the physical parameters were presented for velocity, temperature and concentration. The results for Skin friction, Nusselt and Sherwood numbers were presented and discussed. The study included MHD fluid mechanisms in this presentation to justify advance in scientific research and the need for computational analysis and applications. The study reported the effects of unsteady MHD fluid flow in Darcy-Forchemmer in porous media and its implication as gateway to entrepreneurial development and National growth.
Keywords: Magnetohydrodynamics fluid, viscous dissipation, chemical reaction, Darcy-forchemmer porous media, heat exchanger devices, chemical catalytic reactors.