Magnetohydrodynamic Natural Convection in a Rotating Enclosure. Issue 2 (27th January 2016)

• Record Type: Journal Article
• Authors: Saleh, H.; Hashim, I.
• Is Part Of: Advances in applied mathematics and mechanics. Volume 8:Issue 2(2016)
• Page Start: 279
• Page End: 292
• Publication Date: 2016-01-27
• Subjects: 65M06, -- 65M12, -- 76T05; Finite difference method, -- natural convection, -- MHD, -- rotating enclosure; Engineering mathematics -- Periodicals; Mechanics -- Periodicals; 620.00151825
• DOI: 10.4208/aamm.2013.m419
• Languages: English
• ISSNs: 2070-0733

Abstract

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 x 10 4 ≤ Ta≤ 1.1 x 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 was most effective in reducing the global heat transfer.