THERMAL SCIENCE

International Scientific Journal

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Saber Hamimid

,

Messaoud Guellal

,

Madiha Bouafia

NUMERICAL STUDY OF NATURAL CONVECTION IN A SQUARE CAVITY UNDER NON-BOUSSINESQ CONDITIONS

ABSTRACT
Natural convection in a differentially heated cavity has been carried out under large temperature gradient. The study has been performed by direct simulations using a two-dimensional finite volume numerical code solving the time-dependent Navier-Stokes equations under the Low Mach Number approximation. The LMN model constitutes an important numerical problem for low speed flows. It is based on the filtering of acoustic waves from the complete Navier-Stokes equations. Various simulations were conducted including constant or variable transport coefficients and both small and large temperature differences. A comparison between an incompressible code based on the Boussinesq approximation and the LMN compressible code shows that the incompressible model is not sufficient to simulate natural convective flow for large temperature differences.
KEYWORDS
natural convection, low Mach number approximation, numerical simulation
PAPER SUBMITTED: 2013-08-10
PAPER REVISED: 2014-06-18
PAPER ACCEPTED: 2014-07-01
PUBLISHED ONLINE: 2014-08-10
DOI REFERENCE: https://doi.org/10.2298/TSCI130810084H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 5, PAGES [1509 - 1517]
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Numerical study of natural convection in a square cavity under non-boussinesq conditions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence