Heat and mass transfer analysis of mixed convective magnetohydrodynamic micropolar nanofluid flow through a porous medium bounded by parallel plates

The effect of thermophoresis and Brownian motion on flow and heat and mass transfer of a micropolar nanofluid between parallel plates of uniform height is examined. The upper and lower plates are assumed to be alternately injected and the suction, concentration, and temperature are kept constant at both plates. Using appropriate similarity transformations, the set of governing nonlinear partial differential equations is reduced to a set of ordinary differential equations and then solved numerically using the fourth–order Runge–Kutta method along with the shooting technique. In detail, the influence of the governing dimensionless parameters on the velocity, micro rotation, temperature and concentration of nanoparticles profiles are analyzed. The numerical results show that thermophoresis is able to increase the thermal and concentration boundary layers, while Brownian motion significantly increases the fluid temperature and decreases the concentration of nanoparticles. Moreover, the velocity and microrotation fields will be greatly affected by the parameters associated with the micropolar and suction/injection. The skin-friction coefficient, Nusselt number and Sherwood number are also presented and discussed due to the corresponding changes. Good agreements are found when comparing the present results with those found in previous studies, which confirms the accuracy and reliability of the proposed numerical Methodology.