Free Convection in a MHD Open Cavity with a Linearly Heated Wall Using LBM

Abstract

This chapter examines the magneto-hydrodynamic (MHD) free convection in a square enclosure filled with liquid gallium subjected to a [transverse magnetic field] in-plane magnetic field. First, the side vertical walls of the cavity have spatially varying linearly temperature distributions. The bottom wall is uniformly heated and the upper wall is adiabatic. The second configuration is an open enclosure heated linearly from the left wall. Lattice Boltzmann method (LBM) is applied in order to solve the coupled equations of flow and temperature fields. This study has been carried out for Ra of 10 5 . The results show that the heat transfer rate decreases with an increase of the Ha number which is a widely solicited result in different engineering applications. Streamlines, isotherm counters and Nu numbers are displayed and discussed. A good stability is observed for all studied cases employing an in-house code. The obtained results show that the free-convection heat transfer in the open MHD enclosure is enhanced and it is greater to that of a uniformly heated wall.

Numerical Investigation of Coupled Natural Convection and Surface Radiation in a Square Cavity With the Linearly Heated Side Wall(s)

“…Sankar et al (2018) analyzed the natural convection in a linearly heated vertical porous annulus. Chaabane (2019) analyzed the free convection in a MHD open cavity with a linearly heated wall using Lattice Boltzmann method. Prasad et al (2019) studied the combined laminar natural convection and surface radiation in top open cavities with right side opening.…”