Heat and Mass Transfer on MHD Nanofluid Flow with Temperature-dependent Viscosity in the Presence of Chemical Reaction

The paper investigated the effects of heat and mass transfer with the chemical reaction on time-dependent magnetohydrodynamic (MHD) free convection nanofluid flow through a vertical plate embedded in porous media. The flow problem is expressed as a set of time-dependent dimensional nonlinear partial differential equations, which are transformed into nonlinear partial differential equations (PDEs) in dimensionless form and then solved numerically using the bivariate spectral relaxation method (BI-SRM). The effect of the significant flow parameters such as Eckert number, Joule heating parameter, magnetic parameter, thermal Grashof number, mass Grashof number, Prandtl number, chemical reaction parameter, Schmidt number, and Reynolds number on both velocity components, temperature, concentration, and induction profiles is examined. Additionally, the effects of system parameters on heat and mass transport rates and primary and secondary shear stresses are investigated and shown in tabular and graphical form. It is established that by increasing the Schmidt number or chemical reaction parameter, the Sherwood number increases, while the reverse trend is seen on the concentration distribution for increasing either Schmidt number or chemical reaction parameter. The findings of the study play a significant role in enhancing the performance and proficiency of various engineering applications, such as new-generation washing machines and engineering applications found in the fields of oil refining and biomedical engineering.