Significance of Rosseland’s radiative heat transfer and dissipative heat on MHD viscous flow over a slandering sheet in the presence of Darcy-Forchheimer and Lorentz forces

Abstract

The main emphasis of this research is to investigate computationally an innovative viscous, time-independent, and Darcy-Forchheimer flow of an electrically based incompressible nanofluid on a slandering stretched surface. The thermal conductivity and viscosity of this flow will be discussed. Incorporating an outer heat source into the thermal transfer process enhances the effect of dissipative heat and thermal radiation. When chemical processes are included, the effects of heat and solvent transport are influenced by the use of convective constraints at boundary. The flow characteristics are governed by the mathematical form which is further transferred to ordinary differential equations (ODEs) via appropriate assumptions regarding similarity variables and stream functions. The analytical technique for such highly nonlinear equations sometimes doesn't work effectively due to the strong nonlinearity. As a result, these transformed ODEs are solved numerically by means of bvp4c approach. Graphs depict the impacts of different substantial factors on velocity, temperature, and solutal concentration distributions. Numerical computations of physical quantities including magnetic parameters, inertial coefficient, permeable coefficient, thickness factor, heat transfer Biot number, Radiation parameter, Prandtl number, Eckert number, mass transfer Biot number, Schmidt number, heat source factor, and chemical reaction are evaluated and tabulated. The current findings are compared to previously known results, and they are in great agreement. The main outcomes of the study are thoroughly explained in the results and discussion section. Heat transfer Biot number raises the energy distribution and mass transfer Biot number strengthened the concentration profile while wall thickness quantity reduces the temperature and concentration of fluid as well. The enhanced variable viscosity is augmented by the longitudinal velocity profile and the rate of shear stress.