Magneto hydrodynamic buoyant convection of an electrically conducting fluid in a tilted square cavity

Abstract

A numerical investigation of steady-natural convection of an electrically conducting fluid, enclosed in a tilted square cavity, subjected to a uniform magnetic field applied perpendicular to the plane of cavity is presented. A comprehensive understanding of the effects of controlling parameters on the flow and heat transfer is delineated for a wide range of parameters. Correlations for the average Nusselt number are presented specifically for fluids with low Prandtl numbers pertaining to liquid metals. It is made known that when the applied magnetic field is perpendicular to the plane of the cavity, the magneto hydrodynamic drag is greatest as compared to any other direction of the applied magnetic field and consequently the suppression of convection is also at its maximum, irrespective of all other controlling parameters.

A Numerical Investigation of Surface Radiation Interaction With Magneto-Convection of an Electrically Conducting Fluid Imposed With a Transverse Magnetic Field

“…The current code gives good concordance with their correlations; this is presented in Table 3. The Present code with magnetic field in the absence of radiation is validated with Abishek and Katte [15]. This is shown in Figure 4.…”

“…appreciably the applied magnetic field (refer to [3,4]), and the induced magnetic field is small compared to the applied magnetic field; hence it can be neglected. From a practical point of interest, it is assumed that E is of the same order of magnitude as VB [15,26,27]. The electromagnetic force F E M is expressed as…”

“…The earlier works on magneto-convection were restricted to the magnetic field along the plane of the enclosure in different configurations. But recently, Abishek and Katte [15] have studied the buoyant convection in a tilted cavity, in the presence of a magnetic field orthogonal to the plane of the enclosure. Inclusion of interaction of non-black-surface radiation with magneto-convection makes the situation more realistic.…”

“…Kandaswamy et al [14] have numerically examined the magneto-convection in an enclosure with partially active vertical walls and concluded that the rate of flow decreases for increase in magnetic field in all different active positions. Recently, Abishek and Katte [15] studied magneto-hydrodynamic buoyant convection of an electrically conducting fluid in a tilted cavity and examined the heat transfer rate for various angular alignment of the cavity.…”