Hydromagnetic Boundary Layer Flow of Micropolar Fluid with Multiple Slip in the Presence of Thermophoresis, Cross-diffusion, Nonlinear Thermal Radiation and Chemical Reaction
Baoku Ismail Gboyega
Dahiru Jamilu
Bashir Sule
Onifade Yemi Sikiru
Abstract
A mathematical model is analyzed in order to study the heat and mass transfer characteristics in boundary layer MHD flow with multiple slip effects in a porous medium filled with a micropolar fluid. By taking into account the thermophoresis and cross-diffusion, the study considers both an artificially driven temperature jump in the opposite direction and reversed concentration jump which violate the relevant fundamental laws on thermal and concentration boundary layers. The governing partial differential equations are transformed into a set of coupled ordinary differential equations. The highly nonlinear system of ordinary differential equations are solved numerically using the sixth-order Runge-Kutta integration scheme with shooting method. The effects of various significant parameters such as Soret number, thermal radiation parameter, Dufour number, permeability parameter, Prandtl number, chemical reaction parameter, velocity slip, negative thermal and concentration slip parameters, Schmidt number and other governing parameters on the dimensionless velocity, angular velocity, temperature and species concentration profiles are presented graphically. The results indicate that the magnetic field, first order slip and porous medium parameters reduce the fluid velocity, whereas the permeability parameters have opposite effects on the velocity profile. However, decrease in porous medium parameter corresponded to a decrease in skin-friction coefficient and heat transfer’s rate but increase in rate of mass transfer. Of particular interests are the non-monotonic profiles in temperature and species concentration for thermal and concentration slip parameters, which confirm nonphysicality of the negative values as experienced in electro-osmotic flows and electrochemical systems. The current results are validated with other related research work in the literature and are found to be in excellent agreement.
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