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Investigation of Prandtl number effect on natural convection MHD in an open cavity by lattice Boltzmann method


Kefayati, GR, Investigation of Prandtl number effect on natural convection MHD in an open cavity by lattice Boltzmann method, Engineering Computations, 30, (1) pp. 97-116. ISSN 0264-4401 (2012) [Refereed Article]

Copyright Statement

Copyright 2013 Emerald Group Publishing Limited

DOI: doi:10.1108/02644401311286035


Purpose : Magneto hydrodynamic (MHD) flows in fluids is known to have an important effect on heat transfer and fluid flow in various substances while the quality of the substances and the considered shapes can influence the amount of changes. Thus, MHD flows in a different form and widespread alterations in the kind of the material and the power of MHD flow were carried out by lattice Boltzmann method (LBM) in this investigation. The aim of this paper is to identify the ability of LBM for solving MHD flows as the effect of different substances in the presence of the magnetic field changes.

Design/methodology/approach : This method was utilized for solving MHD natural convection in an open cavity while Hartmann number varies from 0 to 150 and Rayleigh number is considered at values of Ra=103, 104 and 105, with the Prandtl number altering in a wide range of Pr=0.025, 0.71 and 6.2. An appropriate validation with previous numerical investigations demonstrated that this attitude is a suitable method for MHD problems.

Findings : Results show the alterations of Prandtl numbers influence the isotherms and the streamlines widely at different Rayleigh and Hartmann numbers simultaneously. Moreover, heat transfer declines with the increment of Hartmann number, while this reduction is marginal for Ra=103 by comparison with other Rayleigh numbers. The effect of the magnetic field on the average Nusselt number at Liquid Gallium (Pr=0.025) is the least among considered materials.

Originality/value : In this method, just the force term at LBM changes in the presence of MHD flow as the added term rises from the classic equations of fluids mechanic. Moreover, all parameters of the added term and the method of their computing are exhibited.

Item Details

Item Type:Refereed Article
Keywords:MHD, natural convection
Research Division:Engineering
Research Group:Fluid mechanics and thermal engineering
Research Field:Experimental methods in fluid flow, heat and mass transfer
Objective Division:Energy
Objective Group:Energy transformation
Objective Field:Energy transformation not elsewhere classified
UTAS Author:Kefayati, GR (Dr Gholamreza Kefayati)
ID Code:128027
Year Published:2012
Web of Science® Times Cited:40
Deposited By:Engineering
Deposited On:2018-08-28
Last Modified:2018-10-09

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