Volume 8, Issue 2
Magnetohydrodynamic Natural Convection in a Rotating Enclosure

Adv. Appl. Math. Mech., 8 (2016), pp. 279-292.

Published online: 2018-05

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• Abstract

Magnetohydrodynamic natural convection heat transfer in a rotating, differentially heated enclosure is studied numerically in this article. The governing equations are in velocity, pressure and temperature formulation and solved using the staggered grid arrangement together with MAC method. The governing parameters considered are the Hartmann number, 0≤$Ha$≤70, the inclination angle of the magnetic field, 0$^◦$≤$θ$≤90$^◦$, the Taylor number, 8.9×10$^4$≤$Ta$≤1.1×10$^6$ and the centrifugal force is smaller than the Coriolis force and the both forces were kept below the buoyancy force. It is found that a sufficiently large Lorentz force neutralizes the effect of buoyancy, inertial and Coriolis forces. Horizontal or vertical direction of the magnetic field is the most effective in reducing the global heat transfer.

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@Article{AAMM-8-279, author = {Saleh , H. and Hashim , I.}, title = {Magnetohydrodynamic Natural Convection in a Rotating Enclosure}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {2}, pages = {279--292}, abstract = {

Magnetohydrodynamic natural convection heat transfer in a rotating, differentially heated enclosure is studied numerically in this article. The governing equations are in velocity, pressure and temperature formulation and solved using the staggered grid arrangement together with MAC method. The governing parameters considered are the Hartmann number, 0≤$Ha$≤70, the inclination angle of the magnetic field, 0$^◦$≤$θ$≤90$^◦$, the Taylor number, 8.9×10$^4$≤$Ta$≤1.1×10$^6$ and the centrifugal force is smaller than the Coriolis force and the both forces were kept below the buoyancy force. It is found that a sufficiently large Lorentz force neutralizes the effect of buoyancy, inertial and Coriolis forces. Horizontal or vertical direction of the magnetic field is the most effective in reducing the global heat transfer.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m419}, url = {http://global-sci.org/intro/article_detail/aamm/12089.html} }
TY - JOUR T1 - Magnetohydrodynamic Natural Convection in a Rotating Enclosure AU - Saleh , H. AU - Hashim , I. JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 279 EP - 292 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2013.m419 UR - https://global-sci.org/intro/article_detail/aamm/12089.html KW - AB -

Magnetohydrodynamic natural convection heat transfer in a rotating, differentially heated enclosure is studied numerically in this article. The governing equations are in velocity, pressure and temperature formulation and solved using the staggered grid arrangement together with MAC method. The governing parameters considered are the Hartmann number, 0≤$Ha$≤70, the inclination angle of the magnetic field, 0$^◦$≤$θ$≤90$^◦$, the Taylor number, 8.9×10$^4$≤$Ta$≤1.1×10$^6$ and the centrifugal force is smaller than the Coriolis force and the both forces were kept below the buoyancy force. It is found that a sufficiently large Lorentz force neutralizes the effect of buoyancy, inertial and Coriolis forces. Horizontal or vertical direction of the magnetic field is the most effective in reducing the global heat transfer.

H. Saleh & I. Hashim. (1970). Magnetohydrodynamic Natural Convection in a Rotating Enclosure. Advances in Applied Mathematics and Mechanics. 8 (2). 279-292. doi:10.4208/aamm.2013.m419
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