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Appl. Sci. 2015, 5(4), 1904-1921; doi:10.3390/app5041904

Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers

1
Laboratoire Génie Civil et géo-Environnement (LGCgE, EA 4525), University of Artois, Béthune F-62400, France
2
Laboratoire Génie Civil et géo-Environnement (LGCgE, EA 4525), Lille University Northern France, Lille F-59000, France
*
Author to whom correspondence should be addressed.
Academic Editor: Takayoshi Kobayashi
Received: 7 November 2015 / Revised: 8 December 2015 / Accepted: 8 December 2015 / Published: 17 December 2015
(This article belongs to the Special Issue Phase Change Materials (PCM))
View Full-Text   |   Download PDF [1983 KB, uploaded 17 December 2015]   |  

Abstract

This paper deals with the numerical simulation of heat transfer and entropy generation in a 2D square enclosure for convective melting. A thermal lattice Boltzmann method (TLBM) is used to handle the study, which has been conducted for Prandtl numbers from 0.02 to 70 at Rayleigh numbers of 104 and 105. The results are presented in terms of the total entropy generation, average Bejan number and average Nusselt number. Within the range considered for the key parameters, the entropy generation is found to be controlled by the heat transfer loss for low Prandtl numbers. However, for the large Prandtl numbers, its variation is dominated by shearing losses. Moreover, the presence of the latent heat state decreases the overall thermodynamic losses while increasing the quantity of heat transferred. View Full-Text
Keywords: thermal lattice Boltzmann method; entropy generation; natural convection; phase change; melting; Bejan number. thermal lattice Boltzmann method; entropy generation; natural convection; phase change; melting; Bejan number.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Yehya, A.; Naji, H. Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers. Appl. Sci. 2015, 5, 1904-1921.

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