Numerical solution of MHD, Soret, Dufour, and thermal radiation contributions on unsteady free convection motion of Casson liquid past a semi‐infinite vertical porous plate

Abstract

In this paper, the unsteady motion of Casson liquid over a half‐infinite penetrable vertical plate with MHD, thermal radiation, Soret, and Dufour contributions have been explored numerically. In the physical geometry, the Casson liquid flows to the layer from the penetrable vertical plate. At the layer, Casson liquid is set into motion and the flow equations are illustrated using coupled partial differential equations (PDEs). This set of PDEs is simplified to form dimensionless PDEs with the use of normal nondimensional transformation. The controlling parameters' effects on the working fluid are extensively discussed on velocity, concentration, and temperature and presented graphically. Computational values of Nusselt plus Sherwood number and skin friction for controlling parameters are depicted in a tabular form. Our outcomes show that a raise in the Casson term depreciates the velocity because of the magnetic parameter influence on the fluid flow. The Soret parameter was found to accelerate the skin friction along with the Sherwood number coefficients. An incremental value of the Dufour parameter was detected to hike the skin friction alongside the Nusselt number. Results of this study were found to be in conformity with previously published work.

Flow of Casson Nanofluid Past a Permeable Surface: Effects of Brownian Motion, Thermophoretic Diffusion and Lorenz force

“…Following the formulations in the previous studies, the governing equations are [35][36][37][38][39][40][41][42][43][44][45][46][47][48]…”

“…Investigation of heat transport along a slanting porous surface has importance in the production of paper, drawing of glass, plastic film, wire drawing etc. Reddy et al, [19] by considering the numerical solution of MHD, Soret, Dufour, and thermal radiation contributions on unsteady free convection motion of Casson liquid past a semi-infinite vertical porous plate. MHD free convective flow past a vertical porous plate in the presence of radiation and heat generation was studied by Mangathai et al, [20].…”

“…Reddy et al, [33] elucidate the combined thermophoresis along with Brownian motion effects on the unsteadiness of MHD nano liquid flow. Meanwhile, many authors have done their research work on MHD fluid flows along the thermal radiation effects on vertical and stretching surface [34][35][36][37][38][39][40][41][42][43]. Khan et al, [44] presented the effect of MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source.…”

Finite element simulation of Soret-Dufour and conjugate heating effects on mixed convective heat absorbing hydromagnetic Casson fluid flow with suction/blowing from flat semi-infinite vertical porous plate

“…Prabhakar Reddy et al [ 51 ] enforced the finite element numerical procedure to highlight the effects of diffusion-thermal on the mixed convection reacting unsteady MHD Casson fluid in the direction of an oscillating porous plate. Recently, Reddy et al [ 52 ] utilized a numerical technique to prospect the combined persuade of radiation and Soret-Dufour’s parameters on natural convection MHD unsteady flow of Casson fluid via a semi-infinite vertical porous surface.…”

Radiation and chemical reaction effects in MHD Casson fluid flow over a vertical porous surface

“…Sitha et al 23 studied the presence of viscous dissipation in mixed convective MHD flow over a porous surface in vertical position. Veera et al 24 considered the combined effect of Dufour-Soret on MHD flow over semi-infinite porous plate. It can be observed clearly from the literature that although several studies were reported on Casson fluid flow, very little consideration is taken in to account for the flow of Casson fluid upon a vertical surface through porosity with radiation effect and under the impact of the magnetic parameter.…”