Diffusion‐thermo effect on MHD dissipative flow past a porous vertical plate through porous media

Abstract

In this study, we investigate the heat and mass transfer in MHD convective flow past an infinite plate, through a porous media in presence of radiation, diffusion-thermo effect, and heat sink. A uniform magnetic field is applied transversely in the fluid region. The novelty of the present work is to analyze the diffusion-thermo effect on the flow phenomena in the presence of heat sink and thermal radiation. The governing equations are solved by perturbation technique to get expressions for velocity, temperature, and concentration fields. The influence of various physical quantities on the flow domain is studied graphically and in tabular form. It has been found that when heat flux is generated due to temperature gradient, the fluid velocity increases whereas the fluid temperature falls due to the diffusion-thermo effect. The current results have been compared with the existing results in some cases and it has been found that the findings of the present study are consistent with earlier findings.

MHD dissipative flow past a permeable vertical plate in a porous medium in the presence of constant heat, mass flux, and diffusion‐thermo effect

“…Magnetic field Continuity equation 1 : $$$\overrightarrow{\nabla }\cdot \overrightarrow{B}=0.$$$…”

“…Ohm's law 1 : $$$\overrightarrow{J}=(\overrightarrow{E}+\overrightarrow{q}\times \overrightarrow{B})\sigma .$$$…”

“…Momentum equation 1 : $$$\rho (\overrightarrow{q}\cdot \overrightarrow{\nabla })\overrightarrow{q}=\rho \overrightarrow{g}+\overrightarrow{J}\times \overrightarrow{B}-\overrightarrow{\nabla }p+\mu {\nabla }^{2}\overrightarrow{q}-\frac{\mu \overrightarrow{q}}{K^{\prime} }.$$$…”

“…Hannes Alfven (1908–1995) founded the field of MHD and was awarded the Nobel Prize in Physics for his work on it in 1970. Considering MHD convective flow across an unending plate as well as through a permeable medium while dealing with radiation, diffusion‐thermo effect, heat sink, heat, and mass transport is evaluated by Choudhury et al 1 Mopuri et al 2 examined mass and heat transport of steady MHD flow of a convective fluid across a permeable surface under the influence of Dufour effect in addition to oriented magnetic field. Krishna et al 3 studied the effects of heat and mass transfer on free convective flow of a micropolar fluid over an infinite vertical porous plate in the presence of an inclined magnetic field.…”

MHD flow in a rotating vertical cone through a porous medium

“…They are also known to change the way flow behaves at boundary layers. The fluid flows through a cone in a porous medium has been studied earlier by Mehta et al, 28 Choudhury et al, 29 and Usman et al 30 The bivariate Chebyshev spectral collocation quasilinearization method (BSQLM) to solve the existing equations of mixed convection flow via cone in porous media was reported by Ilya et al 31 Ahmad et al 32 investigated the influence of porous media on the MHD micropolar fluid via a cone and they found that the increasing porous parameter values, decreased the flow of micro rotation. The behavior of the heat and mass transfer in MHD Casson fluid flow past a cone in porous media with gyrotactic microorganisms was studied in Iqbal et al 33 The effect of Heat as well as mass transfer on unsteady convective MHD Couttee flow via a porous medium with varying temperature was analyzed in Sasikumar 34…”