Magneto-convective flow through a porous enclosure with Hall current and Thermal radiation effects : numerical study

Venkatadri, K; Beg, OA; Kuharat, S

Abstract

This paper reports the numerical study of magnetohydrodynamic radiative-convective flow in
a square cavity containing a porous medium with Hall currents. This study is relevant to
hydromagnetic fuel cell design and thermofluidic dynamics of complex magnetic liquid
fabrication in enclosures. The governing equations of this fluid system are solved by a finitedifference vorticity stream function approach executed in MATLAB software. A detailed
parametric investigation of the impact of Rayleigh number (thermal buoyancy parameter),
Hartman number (magnetic body force parameter), Darcy number (permeability parameter),
Hall parameter and radiation parameter on the streamline, temperature contours, local Nusselt
number along the hot wall and mid-section velocity profiles is computed. Validation with
previous special cases in the literature is included. Hall current and radiative effects are found
to significantly modify thermofluidic characteristics. From the numerical results, it is found
that the magnetic field suppresses the natural convection only for small buoyancy ratios. But,
for larger buoyancy ratio, the magnetic field is effective in suppressing the thermal convective
flow.

Citation

Venkatadri, K., Beg, O., & Kuharat, S. (2022). Magneto-convective flow through a porous enclosure with Hall current and Thermal radiation effects : numerical study. European Physical Journal - Special Topics, https://doi.org/10.1140/epjs/s11734-022-00592-9

• Journal Article Type: Article
• Acceptance Date: May 3, 2022
• Publication Date: May 23, 2022
• Deposit Date: Jun 9, 2022
• Publicly Available Date: Jun 9, 2022
• Journal: The European Physical Journal - Special Topics
• Print ISSN: 1951-6355
• Electronic ISSN: 1951-6401
• Publisher: EDP Sciences
• DOI: https://doi.org/10.1140/epjs/s11734-022-00592-9
• Publisher URL: https://doi.org/10.1140/epjs/s11734-022-00592-9
• Related Public URLs: http://epjst.epj.org/