Heat and Mass Transfer on Unsteady MHD Flow Through an Infinite Oscillating Vertical Porous Surface

Abstract

Analytical solutions of an unsteady magnetohydrodynamic (MHD) flow with heat and mass transfer characteristics of an incompressible, viscous, electrically conducting, and Boussinesq fluid over a vertical oscillating plate embedded in a Darcian porous medium in the presence of a thermal radiation are presented. The fluid considered here is a gray, absorbing/emitting radiating, but nonscattering medium. At time t > 0, the plate temperature and concentration near the plate are raised linearly with time t. The dimensionless governing coupled unsteady boundary layer partial differential equations are solved by the Laplace transform technique. An increase in permeability parameter (K) is found to increase fluid velocities and shear stress in the regime. Also it was found that when the conduction-radiation parameter (R) increased, the fluid velocity and the temperature profiles decreased. Applications of the study are found in materials processing and solar energy collector systems.

Heat and mass transfer on MHD convective flow over an infinite vertical porous plate with the heat source and chemical reaction

“…It is considered the MHD free convection flow of an incompressible electrically conducting fluid through a medium embedded in a vertical porous surface with homogeneous transverse magnetic field B 0 , under the influence of heat source and chemical reaction. For computational intentions (Krishna and Chamkha 24 ) these are fixing the quantities A = 0.05; ω π = 5 /2; and ε = 0.001. It is noticed that, from the Figure 2, the magnitude of the resultant velocity reduces with an increase in the strength of the magnetic field (Hartmann number M).…”

“…Analytical solutions of an unsteady MHD flow of an incompressible, viscous, electrically conducting fluid over a vertical oscillating plate embedded in a porous medium in the presence of thermal radiation have been presented by Krishna and Chamkha. 24 29 Patel 30 discussed the boundary layer free convective unsteady flow of an incompressible micropolar fluid under a uniform magnetic field with thermal radiation and symmetric and asymmetric boundary conditions. Thermophoresis, Brownian motion, and nonlinear thermal radiation effects on mixed convection MHD micropolar fluid flow due to nonlinear stretched sheet in a porous medium with viscous dissipation, joule heating, and convective boundary condition have been discussed by Patel and Singh.…”

Hall current effects on MHD flow of chemically reacting fluid through a porous medium with heat source

“…Analytical solutions of an unsteady MHD flow over a vertical oscillating plate embedded in a porous medium have been presented by Krishna and Chamkha. 25 Hsiao 26 discussed the activation energy electrical MHD Ohmic dissipation and mixed convection of a viscoelastic non-Newtonian Carreau nanofluid on stagnation-point energy conversion. Hsiao 27 investigated the micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with a multimedia feature.…”

Thermodiffusion and chemical reaction on MHD free convective flow past a rotating vertical porous plate with constant heat and mass discharge

“…Krishna et al 22 explored the temperature as well as mass transport on MHD liberated convection flows past an unbounded non‐performing upright smooth absorbent plate. The systematic resolutions of the unsteady MHD flows of the noncompressible gelatinous, electrical performing fluids through the perpendicular fluctuating surface entrenched in permeable media with the presence of the thermally radiating had been explored by Krishna and with Chamkha 23 …”