Version 1
: Received: 5 October 2024 / Approved: 7 October 2024 / Online: 7 October 2024 (12:05:48 CEST)
How to cite:
Hiremath, A. M.; Yoshikawa, H. N.; Mutabazi, I. Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection. Preprints2024, 2024100456. https://doi.org/10.20944/preprints202410.0456.v1
Hiremath, A. M.; Yoshikawa, H. N.; Mutabazi, I. Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection. Preprints 2024, 2024100456. https://doi.org/10.20944/preprints202410.0456.v1
Hiremath, A. M.; Yoshikawa, H. N.; Mutabazi, I. Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection. Preprints2024, 2024100456. https://doi.org/10.20944/preprints202410.0456.v1
APA Style
Hiremath, A. M., Yoshikawa, H. N., & Mutabazi, I. (2024). Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection. Preprints. https://doi.org/10.20944/preprints202410.0456.v1
Chicago/Turabian Style
Hiremath, A. M., Harunori Nakagawa Yoshikawa and Innocent Mutabazi. 2024 "Effect of an Applied Magnetic Field on Joule Heating-Induced Thermal Convection" Preprints. https://doi.org/10.20944/preprints202410.0456.v1
Abstract
Thermal convection induced by Joule heating in weak electrical conducting liquid such as molten salts with symmetric thermal boundary conditions is investigated using linear stability analysis. We show that the effect of the magnetic field consists on the delay of the threshold of thermal convection and show that for intense magnetic field, the size of thermoconvective rolls increases. Analysis of the budget of the perturbations kinetic energy reveals that the Lorentz force contributes to the dissipation of the kinetic energy.
Keywords
thermal convection; Joule heating; Chebychev polynomials; collocation method; Lorentz force
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.