Unsteady Casson hydromagnetic convective porous media flow with reacting species and heat source: Thermo-diffusion and diffusion-thermo of tiny particles

Abstract

The core motive of the investigation is to scrutinize the precise outcome of an unsteady motion of a convective Casson fluid of the non-Newtonian type when thermo-diffusion and diffusion-thermo are present through an infinite vertical plate. The convection of binary diffusivity is exemplified via thermal-diffusion and Diffusion-thermal parameter. The numerical modeling of delimited stream yields a set of non-linear PDEs, these are transmuted into dimensionless PDEs via non-dimensional quantities. The dimensionless quasilinear PDEs defining the flow model are handled numerically, adopting an effectual finite difference schema. The behavior of different aspects, i.e., velocity, thermal and solutal transport, is presented via a graphical illustration using the MAPLE program. The results finding are likened to earlier investigations that have already been published, and a high level of precision is found. The concluding outcomes revealed that increasing the permeability term, thermal and species buoyancy forces fasten the flow velocity whilst the opposite behavior is taking down with escalating magnetic parameters. Enhancing the Dufour and heat source parameters raise thermal fluid, where the Prandtl number oppositely affect the heat transfer. The thermo-diffusion parameter speeds up the species mass and the liquid velocity.

Keywords

• Casson fluid
• Chemical reaction
• Cross-diffusion
• Unsteady flow
• Heat source
• Finite difference method