Effects of Variable Thermal Conductivity on MHD Fluid Flow on Rotating Vertical Cone in the Presence of Darcy Forchheimer, Soret and Dufour Effects through a Porous Medium
I. J. Uwanta
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Sokoto State, Nigeria.
I. D. Yale
Department of Mathematics, Kebbi State University of Science and Technology, Aleiro, Kebbi State, Nigeria.
A. Ahmed *
Department of Mathematics, Kebbi State Polytechnic, Dakingari, Kebbi State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This research investigated the effects of Variable Thermal Conductivity on MHD fluid on a Rotating Vertical Cone in the Presence of Darcy Forchheimer, Soret and Dufour effects through a porous medium. The system of nonlinear differential equations were transformed into first order differential equations and solved using shooting technique in Matlab package Bvp4c.Furthermore, the effects of various parameters over the main physical quantities are shown graphically and also extensively discussed. The result shows that Thermal conductivity increases Tangential Velocity, Temperature and decreases Normal Velocity. Dufour increases Tangential Velocity and decreases Normal Velocity. Radiation parameter R enhances Tangential Velocity and Temperature.
Keywords: Darcy-forchheimer, soret, dufour, thermal conductivity