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Research Papers: Melting and Solidification

The Enthalpy-Transforming-Based Lattice Boltzmann Model for Solid–Liquid Phase Change

[+] Author and Article Information
Yutao Huo

School of Electrical and Power Engineering,
China University of Mining and Technology,
Xuzhou 221116, China

Zhonghao Rao

School of Electrical and Power Engineering,
China University of Mining and Technology,
Xuzhou 221116, China
e-mail: raozhonghao@cumt.edu.cn

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 11, 2016; final manuscript received May 9, 2018; published online June 11, 2018. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 140(10), 102301 (Jun 11, 2018) (8 pages) Paper No: HT-16-1455; doi: 10.1115/1.4040345 History: Received July 11, 2016; Revised May 09, 2018

A new lattice Boltzmann (LB) model to solve the phase change problem, which is based on the enthalpy-transforming model has been developed in this paper. The problems of two-region phase change, natural convection of air, and phase change by convection are solved to verify the present LB model. In two-region phase change, the results of the present LB model agree well with that of analytical solution. The benchmark solutions are applied to evaluate the present LB model in natural convection of air and phase change material (PCM) as well. The results show that the present LB model is able to simulate the temperature distribution and capture the location of solid–liquid interface in the cavity accurately. Moreover, the present LB model is effective in computing owing to the fact that no iterations are necessary during the simulations.

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Figures

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Fig. 1

Schematic of two-region phase change by conduction

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Fig. 2

The comparison between analytical method and present LB model for two-region phase change problem

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Fig. 3

Schematics of natural convection (a) without phase change and (b) with phase change

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Fig. 4

Isotherms of the natural convection flow

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Fig. 5

The comparisons of (a) average Nusselt number and (b) total liquid fraction between present LB model and Mencinger's results for case 1

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Fig. 6

The comparisons of (a) average Nusselt number and (b) total liquid fraction between present LB model and Mencinger's results for case 2

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Fig. 7

The temperature contours and solid–liquid interface locations at: (a) t* = 4.0, (b) t* = 10.0, (c) t* = 20.0, and (d) t* = 30.0

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Fig. 8

The temperature contours and solid–liquid interface locations at: (a) t* = 0.4, (b) t* = 1.0, (c) t*=4.0, and (d) t*=10.0

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