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Lattice Boltzmann Method for simulation of mixed convection of a Bingham fluid in a lid-driven cavity
Citation
Kefayati, GHR and Huilgol, RR, Lattice Boltzmann Method for simulation of mixed convection of a Bingham fluid in a lid-driven cavity, International Journal of Heat and Mass Transfer, 103 pp. 725-743. ISSN 0017-9310 (2017) [Refereed Article]
Copyright Statement
Copyright 2016 Elsevier Ltd. All rights reserved.
Official URL: https://www.sciencedirect.com/science/article/pii/...
DOI: doi:10.1016/j.ijheatmasstransfer.2016.07.102
Abstract
In this paper, a two-dimensional simulation of steady mixed convection in a square enclosure with differentially
heated sidewalls has been performed when the enclosure is filled with a Bingham fluid. The
problem has been solved by the Bingham model without any regularisations and also by applying the regularised
Papanatasiou model. An innovative approach based on a modification of the Lattice Boltzmann
Method (LBM) has been applied to solve the problem. Yield stress effects on heat and momentum transport
using the Papanatasiou model are investigated for certain pertinent parameters of the Reynolds
number (Re = 100, 500, and 1000), the Prandtl number (Pr = 0.1, 1, and 10) and the Bingham number
(Bn = 0, 1, 5 and 10), when the Grashof number is fixed at Gr = 10,000. Results show that a rise in the
Reynolds number augments the heat transfer and changes the extent of the unyielded section.
Furthermore, for fixed Reynolds and Prandtl numbers, an increase in the Bingham number decreases
the heat transfer while enlarging the unyielded section. Although an increase in the Prandtl number
enhances heat transfer, it does not affect the proportions of the unyielded/yielded regions in the cavity.
Finally, the results of the Bingham and Papanatasiou models are compared and it is found that there is a
visible difference between the two models especially in the yielded/unyielded sections.
Item Details
Item Type: | Refereed Article |
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Keywords: | Mixed convection, Bingham fluid, Lid-driven cavity, Lattice Boltzmann Method |
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: | 127661 |
Year Published: | 2017 |
Web of Science® Times Cited: | 27 |
Deposited By: | Engineering |
Deposited On: | 2018-08-08 |
Last Modified: | 2018-09-06 |
Downloads: | 0 |
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