Hydrodynamic stability and heat and mass transfer flow analysis of MHD radiative fourth-grade fluid through porous plate with chemical reaction

Present report intends to analyse heat and mass transfer characteristics of naturally convective hydromagnetic flow of fourth-grade radiative fluid resulting from vertical porous plate. The impression of non-linear order chemical reaction and heat generation with thermal diffusion are also considered. The coupled fundamental equations are transformed into a dimensionless arrangement by implementing finite difference scheme explicitly. After initiating the stability test, the governing equations are converged for Prandtl number, P_r ≥ 0.43 and Schmidt number, S_c ≥ 0.168. The impact of dimensionless second, third and fourth-grade parameters with diversified physical parameters are being exhibited graphically on different flow fields. An interesting fact is observed that as the grade of fluid develops it starts to diminish the velocity fields, but a complete opposite scenario is examined for temperature fields. In addition, for advanced visualisation, the impression of thermal radiation is being observed through streamlines and isothermal lines. In which, the respective parameter upsurges the momentum as well as the thermal boundary layers respectively.