Ohmic Heating of Magnetohydrodynamic Viscous Flow over a Continuous Moving Plate with Viscous Dissipation Buoyancy and Thermal Radiation

Abstract

This study extends previous investigation on ohmic heating of magnetohydrodynamic viscous fluid flow over a continuous moving plate to include radiative heat-loss, viscous dissipation and buoyancy effects. The mathematical formulation representing the modified physical model involves a system of three partial differential equations, which are transformed into a system of two coupled non-linear ordinary differential equations using suitable dimensionless variables. Thereafter, the resulting dimensionless system of equations governing modified model are solved via Homotopy Analysis Method (HAM). The accuracy and convergence of solutions are validated by comparing the results obtained with those in literature and they are in good agreement. Parametric study is performed to illustrate the effects of emerging parameters on fluid velocity and temperature, skin friction coefficient and Nusselt number. It is found that the impacts of pertinent parameters due to the extensions are significant and these are presented in graphs and tables. The results indicate that the skin friction coefficient and the heat transfer rate increase with the increasing values of thermal radiation and decrease with the increasing value of viscous dissipation parameter.

Natural Convection Flow of Radiative Casson Fluid Past a Stretching Cylindrical Surface in a Porous Medium with Applied Magnetic Field and Joule Heating

“…A numerical scheme called shooting method with Runge-Kutta Fehlberg technique are used to numerically solve the strongly non-linear governing ordinary equations ( 10)- (11) with endpoint conditions (12)- (13). The system of ODE in Eqs.…”

“…Narayana et al [10] presented an analytical study of heat generation effect on unsteady optically thin radiating fluid flow in a porous medium. Adegbie et al [11] examined effects of variable fluid properties on MHD steady viscous dissipative fluid flow past a porous surface in the presence of thermal radiation. Samuel [12] presented analytical solutions of radiative Newtonian fluid flow in the presence of melting heat transfer and variable fluid properties.…”

Impacts of variable viscosity and chemical reaction on Ohmic dissipative fluid flow in a porous medium over a stretching sheet with thermal radiation

“…Pandey and Kumar 25 studied the radiation impact on incompressible nanofluid flow with viscous dissipation. An analytical study of variable fluid properties' effects on buoyancy flow of steady fluid was discussed by Adegbie et al 26 Mishra et al 27 scrutinized forced convection impact on nanofluid flow in the vicinity of thermal radiation and heat generation. Recently, Numerical solutions of Arrhenius activation energy and magnetic field intensity on micropolar fluid flow coupled with radiation effect was discussed by Ram et al 28 Samuel 29 scrutinized heat transfer significance on radiative Maxwell fluid transport in the vicinity of mass transfer.…”

Transient Hydromagnetic Maxwell Fluid Flow over Inclined Stretching Surface with Thermal Radiation, Viscous Dissipation and Ohmic Heating Effects

“…Megahed [38] research work considered joule heating and viscous dissipation on magnetohydrodynamic flow past a stretching sheet, and recently, Swain et al [39] studied viscous dissipation and joule heating effect on hydromagnetic flow past a porous stretching surface. Others are Muhammad et al [40], Adegbie et al [41], Osalusi et al [42], Goud and Nandeppanavar [43], Hasan et al [44] and Gireesha et al [45]. The current analysis focuses on the investigation of thermal radiation, viscous dissipation, and Ohmic heating effects on transient hydromagnetic Maxwell fluid over an inclined stretching surface.…”