Effects of Non-Uniform Heat Source/Sink and Viscous Dissipation on MHD Boundary Layer Flow of Williamson Nanofluid through Porous Medium

Abstract

The effects of non-uniform heat source/sink and viscous dissipation on MHD boundary layer flow of Williamson nanofluid through porous medium under convective boundary conditions are studied. Surface transport phenomena such as skin friction, heat flux and mass flux are discussed besides the three boundary layers. The striking results reported as: increase in Williamson parameter exhibiting nanofluidity and external magnetic field lead to thinning of boundary layer, besides usual method of suction and shearing action at the plate, a suggestive way of controlling the boundary layer growth. It is easy to implement to augment the strength of magnetic field by regulating the voltage in the circuit. Also, addition of nano particle to the base fluid serves as an alternative device to control the growth of boundary layer and producing low friction at the wall. The present analysis is an outcome of Runge-Kutta fourth order method with a self corrective procedure i.e. shooting method.

Numerical analysis of three-dimensional MHD flow of Casson nanofluid past an exponentially stretching sheet

“…Raza et al [11] have studied multiple slip effects on MHD non-Newtonian nanofluid flow over a nonlinear permeable elongated sheet. Swain et al [12] have investigated MHD boundary layer flow of Williamson nanofluid in presence of porous medium and non-uniform heat source. Raza et al [13] have taken nano Williamson fluid over a stretching sheet with slip boundary conditions.…”

Heat and mass transfer of MHD Casson nanofluid flow through a porous medium past a stretching sheet with Newtonian heating and chemical reaction

“…whereA * and B * are the coefficients of space and temperature dependent heat source/sink respectively. Therefore, equation 3becomes In view of equations (6) and 7, equations (2), (4), (5) and (10)…”

“…Ibrahim [9] studied the stagnation point flow of nanofluid past a stretching sheet. Swain et al [10] have observed the impact of non-uniform heat source/ sink and viscous dissipation on MHD Williamson nanofluid. They have considered linear/non-linear stretching sheet in their study.…”

Hydromagnetic Heat and Mass Transfer on a Permeable Flat Surface Embedded in a Porous Medium

“…Moalem [2] has studied the steady state heat transfer within porous medium with temperature dependent heat generation. Swain et al [3] examined the impact of nonuniform heat source/sink on MHD heat and mass transfer on stretching sheet embedded in a porous medium.…”