Galerkin finite element analysis of time-dependent magnetized casson fluid flow with Robin’s conditions and soret-dufour effects

The purpose of this paper to analyse the Galerkin Finite Element analysis of time-dependent magnetized Casson fluid flow with Robin’s conditions and Soret-Dufour effects. Time-dependent magnetized flow of transient rotatory Casson fluid is investigated in this research. Soret-Dofour phenomeon is accounted in thermal and solutal equations. Robin’s conditions are implemented at the boundaries. The non-dimensional parameters are introduced to re-structured the mathematical problem. The flow governing equations, along with the initial and boundary conditions, have been converted into non-dimensional form using the non-dimensional variables. Glaerkin finite element method (FEM) is adopted for the construction of the solutions of non-dimensional mathematical model. The results are displayed for various parametric values of involved constraints. The current results are compared with already published data and good matching is achieved. Rotation leads to a reduction in the thickness of momentum boundary layer and the imposition of magnetic field constraint is prominent in regulating the flow field. The thermal diffusion significantly enhances both concentration and momentum profiles. The growth of Dufour (Du) number on velocity profiles is observed in response to a decrement in the Casson parameter. The results will be useful in designing of thermal insulators, renewable energy devices, heat exchangers, regulating blood flow devices, refrigerators, heat conduction, chemical reactors and many others.