Mathematical model analysis for hydromagnetic flow of micropolar nanofluid with heat and mass transfer over inclined surface

Abstract

In this study, a mathematical model analysis is made to figure out the impacts of relevant thermophysical effects on the rates of micropolar nanofluid transport phenomena near an inclined exponentially stretching surface. The flow phenomena are described mathematically using partial differential equations and simplified to dimensionless ordinary differential forms via suitable transformation variables. The resulting nonlinear coupled differential equations are then solved by using the optimal homotopy analysis method and the validity of the method is verified in convergence and comparative analysis. The rates of linear momentum, angular momentum, heat exchange and mass diffusion characteristics are investigated against continuous variations of pertinent parameters. Graphical elucidations are preferred to present the results of the study in detail. It was found that the rate of heat exchange is intensified with increasing values of micropolar parameter, Soret number and forces of buoyancy. Also, the rate of couple stress grows for higher estimation of micropolar parameter, surface shrinking, angle of inclination and heat sink parameter values. Further, the wall shear stress is strengthened for increasing values of the micropolar parameter, Dofour number, Soret number, buoyancy forces, heat release, chemical reaction and thermophoresis effects. On the other hand, the Sherwood number is enlarged with higher values of surface stretching parameter, medium porosity, Dufour number, chemical reaction, forces of buoyancy, heat release and Schmidt number.

Keywords

• Hydromagnetic flow
• Micropolar nanofluids
• Exponentially stretching sheet
• Optimal Homotopy analysis method