Heat and Mass Transfer of Unsteady Hydromagnetic Free Convection Flow Through Porous Medium Past a Vertical Plate with Uniform Surface Heat Flux

Abstract

Simultaneous effects of thermal and concentration diffusions in unsteady magnetohydrodynamic free convection flow past a moving plate maintained at constant heat flux and embedded in a viscous fluid saturated porous medium is presented. The transport model employed includes the effects of thermal radiation, heat sink, Soret and chemical reaction. The fluid is considered as a gray absorbing-emitting but non-scattering medium and the Rosseland approximation in the energy equations is used to describe the radiative heat flux for optically thick fluid. The dimensionless coupled linear partial differential equations are solved by using Laplace transform technique. Numerical results for the velocity, temperature, concentration as well as the skin friction coefficient and the rates of heat and mass transfer are shown graphically for different values of physical parameters involved.

A Numerical Analysis on the Unsteady Flow of a Thermomagnetic Reactive Maxwell Nanofluid over a Stretching/Shrinking Sheet with Ohmic Dissipation and Brownian Motion

“…λ = λ 0 1−αt is the relaxation parameter of the Maxwell fluid, g is the acceleration due to gravity, β f is volumetric thermal expansion, β * f is volumetric solution expansion, T is the fluid temperature, C is the fluid concentration, D B is the Brownian diffusion coefficient, c f is the specific heat capacity of the fluid, k r is the chemical reaction rate constant, µ f is effective viscosity, q r is the radiative heat flux, ρ f is density of the nanoparticles, τ = (ρc) p (ρc) f is the ratio of effective heat capacity of the nano-particles (ρc) p to the heat capacity of the fluid (ρc) f . The formula for the radiative heat flux q r , according to the Rosseland approximation has the form [32]:…”

Non-uniform Heat Source and Radiation Effect on a Transient MHD Flow Past a Vertical Moving Plate with Inclined Magnetic Field and Periodic Heat Flux

“…Let ‫,ݕ‪ሺ‬ܪ‬ ‫ݐ‬ሻ ൌ ∅ሺ‫ݕ‬ሻߜሺ‫ݐ‬ሻ and compute the derivatives and substitute into (15) to obtain the eigenvalue problem as:…”

“…An analytical study of transient MHD free convective flow of a viscous incompressible fluid over an infinite vertical plate immersed in a porous medium with viscous dissipation effect and uniform heat flux in the presence of chemical reaction was carried out in [14]. Authors in [15] studied the free convective MHD flow past a moving plate maintained at constant heat flux and embedded in a viscous fluid saturated porous medium. The employed model included the effects of thermal radiation, heat sink and chemical reaction The effect of inclined magnetic field on the flow and temperature profiles of MHD flow past a vertical plate has also Corresponding author: Mustafa Rashied Abdullah been under study.…”

Theoretical study of ARRHENIUS‐controlled heat transfer flow on natural convection affected by an induced magnetic field in a micro‐channel

“…Gurivireddy et al 19 described the consequences of heat formation and chemical processes on hydro‐magnetic flow by utilizing a vertical porous plate that moves indefinitely in one direction with a soret effect. El‐Aziz and Yahaya 20 searched the heat and mass flow properties of a transient MHD convection flow filled with porous material over a vertical plate having constant layer heat properties. Jamil et al 21 investigated a time‐dependent heat transfer flow of incompressible viscoelastic Maxwell fluid instigated by a stretching surface.…”