Dufour effect on unsteady MHD flow past a vertical plate embedded in porous medium with ramped temperature

Abstract

The present investigation aims to find an exact solution to the problem of a free convective, viscous, radiating, chemically reacting, optically thick, non-gray, and incompressible MHD flow past an exponentially accelerated semi-infinite vertical plate in presence of a transverse magnetic field. The medium of flow is porous. Arbitrary ramped temperature and diffusion thermo effects are also considered. Rosseland approximation method is used to describe the flux that appears in the energy equation. The effects of different parameters on flow and transport characteristics are discussed with the help of suitable graphs. It is noticed that velocity field and concentration field decreases but temperature field increases with an upsurge in Schmidt number. Also, Nusselt number and skin friction rise with increasing chemical reaction parameter but lowers with increasing radiation parameter. Faster consumption of chemical substances decelerates both concentration and velocity but accelerates temperature of the fluid. An interesting outcome outcome of our investigation is that both Dufour effect and arbitrary ramped temperature diminishes fluid velocity.

Chemical reaction and magnetohydrodynamics effects on heat absorbing fluid past an inclined porous plate

“…We compared the work of Sarma and Ahmed et al 26 to ensure the reliability of one of our conclusions. We considered over the formulation of the temperature field in this problem when Du = 0, K = 0, and Sc = 0, indicating that no Dufour or chemical reaction effects are present and the flow is an unstable free convective MHD across a vertically moving plate in a porous material.…”

“…Swetha et al 25 studied over a vertically rotating porous plate, a chemically responsive and naturally convective MHD flow is taking place. Subhrajitsarma and Nazibuddin Ahmed 26 present investigation aims to find an exact solution to the problem of a free convective, viscous, radiating, chemically reacting, optically thick, nongray, and incompressible MHD flow past an exponentially accelerated semi‐infinite vertical plate in the presence of a transverse magnetic field. Takhar 27 study the impact of the Soret and Dufour on an upright surface push in a porous material.…”

“…The novelty of this study is the consideration of radiation absorption along with angle of inclination by extending the study of Subhrajitsarma and Nazibuddin Ahmed 26 …”

“…The three axes of this Cartesian coordinate approach are the X ‐axis, which runs straight up upward along the plate; the Y ‐axis, which runs perpendicular to the plate and points into a fluid zone; and the Z ‐axis, which runs along the width of the plate, as shown in z consider the coordinates ( X ′, Y ′, Z ′, T ′) of a fluid with a velocity q ( U ′, 0,0) and a magnetic induction vector B (0, B 0 , 0) 26 $$$\rho \frac{\partial {u}^{* }}{\partial {t}^{* }}=\rho [\beta (T-{T}_{\infty })+\bar{\beta }(C-{C}_{\infty })]\sin \,\alpha g-\sigma {\beta }_{0}^{2}{u}^{* }+\mu \frac{{\partial }^{2}{u}^{* }}{\partial {y}^{* 2}}-\frac{\mu {u}^{* }}{{k}^{* }},$$$ $$$\rho {C}_{p}\frac{\partial T}{\partial {t}^{* }}=k\frac{{\partial }^{2}T}{\partial {y}^{* 2}}+\frac{16{\sigma }^{* }{T}_{\infty }^{3}}{3{k}^{* }}\frac{{\partial }^{2}T}{\partial {y}^{* 2}}+\frac{\rho {D}_{M}{K}_{T}}{{C}_{S}}\frac{{\partial }^{2}C}{\partial {y}^{* 2}}-{Q}^{* }(T-{T}_{\infty }),$$$ …”

Effect of diffusion‐thermo on a mixed convective heat and mass transfer magnetohydrodynamic flow through a vertical porous plate including radiation absorption

“…Recently, Shukla et al [27] studied "the effect of Soret-Dufour and radiation absorption on an unsteady MHD casson fluid with viscous dissipation and passing vertical porous medium". In the recent past, Sarma and Ahmed [28] performed "a study on the effect of Dufour using ramped temperature on a MHD unsteady flow through a vertical plate ". Singh and Vishwanath [29], Singh and Kolasani [30], Singh et al [31], Singh et al [32], Singh et al [33] and Singh et al [34] also investigated on similar fields.…”