Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate

Abstract

In this study, various fluid physical quantities effects such as diffusion-thermo, thermal-diffusion, thermal radiation, viscous dissipation, inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate are considered. The coupled and nonlinear partial differential governing equations consisting of momentum, energy and species equations are reduced to ordinary differential equations using perturbation technique. The resulted coupled, nonlinear ordinary differential equations are solved by using collocation method with the aid of assumed Legendre polynomial. The impacts of different physical parameters on fluid properties are discussed and presented both graphically and tabularly. Both Dufour and Soret have the tendency of enhancing velocity profiles.

Thermophoretic movement, heat source, and sink influence on the Williamson fluid past a Riga surface with positive and negative Soret‐Dufour mechanism

“…[52][53][54] To implement the proposed method (collocation method), with L satisfying the thickness of the boundary layer, the problem domain ∞ [0, ) is approximated to [0, L] . Thus, we implement the algebraic mapping [52][53][54]…”

“…To solve the coupled nonlinear ordinary differential equation (ODEs) (13)–(17), in which the closed‐form solution is far‐fetched, the collocation technique is employed with the Legendre polynomial basis function 52–54 . To implement the proposed method (collocation method), with $${\rm{L}}$$ satisfying the thickness of the boundary layer, the problem domain $$[0,\infty )$$ is approximated to $$[0,{\rm{L}}]$$.…”

“…To implement the proposed method (collocation method), with $${\rm{L}}$$ satisfying the thickness of the boundary layer, the problem domain $$[0,\infty )$$ is approximated to $$[0,{\rm{L}}]$$. Thus, we implement the algebraic mapping 52–54 $$$\psi =\frac{2\eta }{{\rm{L}}}-1,\psi \in [-1,+1].$$$…”

Hall current, radiation absorption, and diffusion thermoeffects on unsteady MHD rotating chemically reactive second‐grade fluid flow past a porous inclined plate in the presence of an aligned magnetic field, thermal radiation, and chemical reaction

“…Keeping in mind the significance of such a study, several researchers investigated hydromagnetic free convection heat and mass transfer flow of a viscous, incompressible and electrically conducting fluid past a vertical plate in the presence of first order chemical reaction under different conditions. Oyekunle and Agunbiade 28 studied diffusion‐thermo and thermal‐diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate. Kumaresan et al 29 discussed analytical investigations of difusion thermoeffects on unsteady free convection flow past an accelerated vertical plate.…”

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

“…Reddy et al 43 studied both Soret and Dufour effects of an MHD flow past a moving vertical plate immersed in a porous medium taking Hall current and rotating system into account. Oyekunle and Agunbiade 44 explored the consequences of the Dufour and Soret effect of MHD flow on an inclined magnetic field. Kumaresan et al 45 analytically investigated the Dufour effect on unsteady free convective flow past an accelerated vertical plate.…”