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Natural convection problem in a Bingham fluid using the operator-splitting method


Huilgol, RR and Kefayati, GHR, Natural convection problem in a Bingham fluid using the operator-splitting method, Journal of Non-Newtonian Fluid Mechanics, 220 pp. 22-32. ISSN 0377-0257 (2015) [Refereed Article]

Copyright Statement

Copyright 2014 Elsevier B.V. All rights reserved.

Official URL:

DOI: doi:10.1016/j.jnnfm.2014.06.005


© 2015 Elsevier B.V. In this paper, natural convection in a square cavity with differentially heated vertical sides and filled with a Bingham fluid has been studied without any regularisation. The finite element method (FEM) based on the operator splitting method is utilised to solve the problem. This study has been conducted for the pertinent parameters in the following ranges: Rayleigh number Ra=103-105 and the Prandtl number between 0.1 and 10. Moreover, the Bingham number is studied in wide ranges for different Prandtl and Rayleigh numbers. Results indicate that the heat transfer increases with the enhancement of the Rayleigh number, with a decrease in the size of the unyielded zones. For specific Rayleigh and Prandtl numbers, the increase in the Bingham number decreases the heat transfer. Furthermore, as expected, the growth of the Bingham number expands the unyielded sections in the cavity. Finally, for fixed Rayleigh and Bingham numbers, the unyielded regions grow with the augmentation of the Prandtl number. Comparisons with the previously published work, based on the augmented Lagrangian method, and the bi-viscosity model respectively are made.

Item Details

Item Type:Refereed Article
Keywords:Natural convection, Bingham fluid, Operator-splitting method, Cavity flow
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, GHR (Dr Gholamreza Kefayati)
ID Code:127684
Year Published:2015
Web of Science® Times Cited:54
Deposited By:Engineering
Deposited On:2018-08-08
Last Modified:2018-09-20

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