Radiation and Heat Source Effects on MHD Free Convection Flow over an Inclined Porous Plate in the Presence of Viscous Dissipation

Abstract

This study analyzes radiation, viscous dissipation and heat source effects on magneto-hydrodynamic free convection flow, of a viscous incompressible fluid over an inclined porous plate. Applying the perturbation technique, the solution of a set of ordinary differential equations are gotten as a result of reducing the non-linear partial differential equations of motion, energy and diffusion, which is solved analytically for velocity, temperature and the concentration distribution. The effect of Radiation, viscous dissipation and heat source on the velocity, temperature, concentration, skin friction, heat transfer and rate of mass flux distribution is plotted graphically using Mathematica 12 software and discussed. It is observed that increased Magnetic field reduces the velocity profile, increases the temperature, skin friction and heat transfer profile. Increase in radiation reduces heat transfer causing a mixed effect on the velocity, temperature and skin friction while an increase in the heat source causes a turbulent effect on the velocity, temperature and skin friction profile. Increase in porosity reduces the velocity, temperature, skin friction and heat transfer profile and finally parameters such as Chemical reaction, Grashof concentration number and Schmidt number had no effect on the velocity, temperature, skin friction and heat transfer profile.

Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet

“…Indications from their findings depicts that rate of fluid motion suppresses as temperature and concentration elevates. Studies abound on the influence of thermal radiation on fluid flows and the results obtained have been significant, (Raptis et al, 2004), (Mabood et al, 2017), (Devi and Reddy, 2014), (Bunonyo et al, 2018) and (Omamoke et al, 2020) just to mention but a few. However, influence of radiation, viscosity on MHD non-steady natural flow past a partially sieve-like material was analyzed by (Joaquin, 2007).…”

A study of free convective heat and mass transmission in the presence of heat source, variable viscosity, chemical reaction, and Soret effects via a porous medium

“…Furthermore, MHD fluids is also useful in various fields such as asthma treatment, tumor therapy, plasmas, Xray radiation, electrolytes biomedicine, sterilized devices and gastric medications [19]. Awasthi [20] carried out investigation on the effects of heat and mass flux on MHD free convection flow through a porous medium with radiation and first order chemical reaction. Interaction of radiation and heat source effects on MHD free convection flow over an inclined porous plate in the presence of viscous dissipation was studied by Omamoke et al [21].…”

Viscous dissipation and radiation absorption effects on unsteady MHD free convective fluid flow past an inclined porous plate with chemical reaction

“…Significance of viscous dissipation on MHD free convective fluid flow through inclined porous plate was considered by Rajakumar et al 17,18 Rajakumar et al 19 considered viscous dissipation and Dufour effects on MHD free convection fluid flow through a vertical Oscillatory porous plate with ion-slip current and radiation absorption. Omamoke et al, 20 Srinivasa Raju et al, 21 Suneetha et al, 22 Jithender Reddy et al, 23 Sivaiah et al, 24 Rajakumar et al, 25 and Rao et al 26 explained the significance of viscous dissipation on MHD fluid past a vertical porous plate. Rajakumar et al 27 reported the impact of viscous dissipation on MHD flow over a fluctuating nonparallel porous plate in presence of chemical reaction along with radiation absorption.…”

“…Substituting Equation (20) in Equations ( 15)-( 17) and omitting the larger power terms o ε ( ) 2 , then it was obtained:…”