A computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects

Abstract

This research study discusses the flow of a magnetohydrodynamic Casson fluid under the influence of Soret, Dufour, and thermal radiation. Nonlinear partial differential equation (PDE) of governing equations is transformed into a dimensionless version of the modified PDEs presented in terms of dimensionless parameters. The solution of coupled PDEs is obtained by the finite difference method with a combination of the quasilinearization technique. The effects of various dimensionless parameters are shown graphically, such as buoyancy force (λ $\lambda $), concentration buoyancy force ( λ C ) $({\lambda }_{{\rm{C}}})$, Casson parameter (β $\beta $), magnetic parameter (H $H$), thermal radiation (R d $Rd$), Darcy parameter (K 0 ${K}_{0}$), Forchheimer (fr), Dufour (D f ${D}_{f}$), Soret (Sor), Brownian motion (N b $Nb$), thermopohersis (N t $Nt$), and Lewis number (L e $Le$). Prevention of heat transfer in the industrial system is critical, the velocity behavior (F $F$), thermal variation (θ $\theta $), and concentration profile (ϕ $\phi $) are more prominent in the roles of coal, gas, and solar thermal collectors.

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

“…Subsequently, Bejawada and Yanala [ 47 ] employed the finite element technique to explore the impact of the Soret-Dufour effect on unsteady MHD flow with heat and mass transportation from a quickened inclined vertical plate. The investigators [ 48 , 49 ] have purposely investigated Dufour-Soret’s influence on the mixed convection of magneto-hydrodynamic radiating and reacting Casson fluid flowing through different media. Reddy et al [ 50 ] investigated the sway of multiple slips, Dufour-Soret and suction/blowing effects on MHD unsteady flow throughout a non-isothermal stretched surface.…”

Combined influence of cross‐diffusion and variable fluid properties on free convection flow past a vertical cone

“…Hazarika et al 39 presented a theoretical investigation for internal heat generation, suction/injection, diffusion‐thermo, and nanoparticle volume fraction on a chemically reacting hydro‐magnetic flow of Cu–water nano‐fluid over a semi‐infinite vertical surface. Govindraj et al 40 addressed the significance of Soret, Dufour, thermal radiation, and magnetic field on the flow of a Casson fluid. Venkata Ramudu et al 41 emphasized the impact of chemical reaction, cross‐diffusion, magnetic field, and nonlinear radiation on the Casson fluid flow across a convective surface.…”