Finite element analysis on transient magnetohydrodynamic (MHD) free convective chemically reacting micropolar fluid flow past a vertical porous plate with Hall current and viscous dissipation

Abstract

This article deals with boundary layer analysis of magnetohydrodynamics on an unsteady chemically reactive micropolar rotating fluid flow past a semi-infinite vertical plate with the impact of Hall current and viscous dissipation. The relevant equations on the fluid flow have been developed under Boussinesq approximation. The governing partial differential equations are transformed into a set of coupled partial differential equations using suitable dimensionless quantities. The resultant equations are solved numerically using variational finite element method. A parametric study illustrating the influence of different pertinent parameters is performed and the numerical results for translational velocity, microrotation velocity, temperature and concentration distributions near the boundary layers are discussed and presented graphically for the parametric variations. Finally, the skin-friction, wall couple stress, surface heat transfer and mass transfer rate dependency on the emerging thermo-physical parameters are also tabulated. The finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement with published solutions is achieved.