Steady MHD Flow of Viscous Fluid between Two Parallel Porous Plates with Heat Transfer in an Inclined Magnetic Field

Abstract

The steady flow behavior of a viscous, incompressible and electrically conducting fluid between two parallel infinite insulated horizontal porous plates with heat transfer is investigated along with the effect of an external uniform transverse magnetic field, the action of inflow normal to the plates, the pressure gradient on the flow and temperature. The fluid viscosity is supposed to vary exponentially with the temperature. A numerical solution for the governing equations for both the momentum transfer and energy transfer has been developed using the finite difference method. The velocity and temperature distribution graphs have been presented under the influence of different values of magnetic inclination, fluid pressure gradient, inflow acting perpendicularly on the plates, temperature dependent viscosity and the Hartmann number. In our study viscosity is shown to affect the velocity graph. The flow parameters such as viscosity, pressure and injection of fluid normal to the plate can cause reverse flow. For highly viscous fluid, reverse flow is observed. The effect of magnetic force helps to restrain this reverse flow.

Numerical illustrations of 3D tangent hyperbolic liquid flow past a bidirectional moving sheet with convective heat transfer at the boundary

“…Sharma and Singh investigated the impacts of thermal conductivity variation in stagnation point flow. Kuiry and Bahadur explored the fluid velocity inside two parallel plates. Flows influenced by convection have gained the attention of scientists over past decades due to wide implications in engineering and industrial processes.…”

Study the Effect of Chemical Reaction and Magnetic Field on Free Convection Boundary Layer Flow of Heat and Mass Transfer with Variable Prandtl Number

“…This problem has also an important bearing on metallurgy where magneto hydrodynamic (MHD) techniques have recently been used. In this regard, recently, Ali and Alam [1] has investigated the heat and mass transfer on steady MHD free convection flow along an inclined stretching sheet with suction and heat generation, Rahman et al [2] studied the effect of joule heating on MHDs mixed convection around a heat conducting horizontal circular cylinder in a rectangular lid-driven cavity, Kuiry and Bhadur [3] has analyzed the effect of inclined magnetic field of viscous fluid between two parallel porous plates with heat transfer, Ahmmed and Sarker [4] studied the MHD natural convection flow of fluid from a vertical flat plate considering temperature dependent viscosity, Reddy [5] has studied the influence of MHD and thermal radiation boundary layer flow of a nanofluid past a stretching sheet, Kumar and Sing [6] have also studied the mathematical modeling of Soret and hall effects on oscillatory MHD free convective flow of radiating fluid in a rotating vertical porous channel filled with porous medium, Sing [7] studied the heat and mass transfer in MHD boundary layer flow past an inclined plate with viscous dissipation in porous medium, Abel and Mahesh [8] presented an analytical and numerical solution for heat transfer in a steady laminar flow of an incompressible viscoelastic fluid over a stretching sheet with power-law surface temperature, including the effects of variable thermal conductivity and non-uniform heat source and radiation, Iskak et al [9] discussed heat transfer analysis for mixed convection flow through a vertical stretching sheet, Ali et al [10] have analyzed the MHD viscos flow of heat transfer over a permeable shrinking sheet with surface heat flux, Rajesh [11] has studied the MHD effects on free convection and mass transform flow through a porous medium with variable temperature and Alam et al [12] discussed the steady MHD boundary layer free convective heat and mass transfer flow over an inclined porous plate with variable suction and Soret effect in presence of hall current, Ferdows et al [13] discussed the boundary layer flow of a nanofluid through a porous medium due to an Exponentially Stretching sheet in presence of magnetic field, Khan et al [14] have analyzed the effects of magnetic field on radiative flow of a nanofluid past a stretching sheet. Since the study of heat and mass transfer is important in many cases, in the present paper we studied the free convection heat and mass transfer flow over a semi-infinite vertical plate with heat absorption, chemical reaction and magnetic field in presence of variable Prandtl number.…”

Similarity Solutions for Unsteady Hydromagnetic Free Convection Boundary Layer Flow over Flat Plates with Thermophoresis

“…Mbeledogu and Ogulu [24] studied heat and mass transfer on unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heattransfer. Many authors have already studied the flow of dustyviscousfluidsuch as Kuiry and Bahadur [25] studied MHD flow of viscous fluid between two parallel porous plates with heat transfer in an inclined magnetic field and some of the important studies in the domain of dusty viscous fluid with elastic properties have been carried out by many researchers. Alam et al [26] has analyzed the steady MHD boundary layer free convective heat and mass transfer flow over an inclined porous plate with variable suction and Soreteffect in presence of hall current.…”