Energy transfer through mixed convection within square enclosure containing micropolar fluid with non-uniformly heated bottom wall under the MHD impact

Abstract

Present investigation conveys computations for mixed convective energy flow through a square container carrying micropolar fluid under the influence of constant horizontal magnetic field. Bottom wall of an enclosure is subject to non-uniform heating profile while remaining walls of an enclosure are maintained at low temperature. Numerical simulations are computed incorporating Galerkin method of Finite element scheme against various values of involved parameters like Grashof number, Reynolds number, Hartmann number and micropolar parameter. It has been observed that strength of stream line circulations escalates with augmentation in Grashof (Gr) number where it attenuates with augmentation in Hartmann (Ha) and Reynolds (Re) numbers. Convection regime dominates in cavity for large Grashof number and small Hartmann number. Heat transfer coefficient Nu rises with surge in Reynolds number, Hartmann number and micropolar parameter and it reduces with rise in Grashof number along upper boundary where overall heat flow rate is increasing function of Grashof number and decreasing function of Reynolds and Hartmann number along bottom wall.