Mathematical Model and Solution for an Unsteady MHD Fourth Grade Fluid Flow over a Vertical Plate in a Porous Medium with Magnetic Field and Suction/Injection Effects

Abstract

This work investigates the mathematical model and solution for an unsteady MHD fourth grade fluid flow over a vertical plate in a porous medium with the effects of the magnetic field and suction/injection parameters using Homotopy Perturbation Method. The flow is considered to satisfy the constitutive equations of fourth grade fluid flow model and because of the Homotopy Perturbation Method used, only the momentum equation with initial and boundary conditions are solved as governing equations. After initializing stability test, the convergence of the governing equations are observed graphically using the results of Homotopy Perturbation Method with the new analytical method used by Yurusoy in literature and there is a perfect agreement in results. The impact of dimensionless second, third and fourth grade parameters with the effects of magnetic field and suction/injection parameters on the velocity field are displayed graphically and discussed. Increase in suction parameter decreases the momentum boundary layer thickness while injection parameter enhances velocity distribution in the boundary layer. Magnetic field reduces velocity throughout the boundary layer because the Lorentz force which acts as retarding force reduces the boundary layer thickness.

MHD Couette Flow of Viscoelastic Fluid Between Upright Permeable Plates with Energy Dissipation

“…Kumar et al [15] studied the influence of suction/ injection on MHD Casson fluid flow over a vertical stretching surface. Fenuga et al [16] presented a mathematical model and solution for an unsteady MHD fourth-grade fluid flow over a vertical plate in a porous medium with magnetic field and suction/injection Effects. By an analytic approach, Kumar [17] studied the radiation effect on MHD flow with an induced magnetic field and Newtonian heating/cooling.…”

Laminar Forced Convection MHD Couette-Poiseuille Flow with Viscous and Joule Dissipations

“…Ramesh [24] has studied effects of viscous dissipation and Joule heating on the Couette and Poiseuille flows of a Jeffrey fluid with slip boundary conditions. Mathematical Model and Solution for an Unsteady MHD Fourth Grade Fluid Flow over a Vertical Plate in a Porous Medium with Magnetic Field and Suction/Injection Effects have been investigated by Fenuga et al [25]. Uwaezuoke [26] has studied Laminar forced convection heat transfer in Couette-Poiseuille flow with viscous dissipation effects on asymmetric wall heat fluxes.…”

MHD Boundary Layer Flow of Casson Fluid Past an Inclined Plate in the Presence of Soret/Dufour Effects, Heat Source and First-order Chemical Reaction

“…In several cases of simultaneous heat and mass transfer problems, the Soret and Dufour effects cannot be neglected [8]. Many authors have studied the effects of Soret and Dufour in various flow problems [9][10][11][12][13][14][15].…”