Three-dimensional lattice Boltzmann models for solid-liquid phase change

被引：43

作者：

Li, Dong ^{[1
]}

Tong, Zi-Xiang ^{[1
]}

Ren, Qinlong ^{[1
]}

He, Ya-Ling ^{[1
]}

Tao, Wen-Quan ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Minist Educ, Key Lab Thermofluid Sci & Engn, Xian, Shaanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2017年 / 115卷

基金：

国家重点研发计划; 中国国家自然科学基金;

关键词：

Lattice Boltzmann method; Three-dimensional solid-liquid phase change; Enthalpy method; Natural convection; HEAT-TRANSFER; FLUID-FLOW; NUMERICAL-SIMULATION; NATURAL-CONVECTION; GROWTH-KINETICS; POROUS-MEDIA; EQUATION; SCHEME; MELT; SOLIDIFICATION;

D O I：

10.1016/j.ijheatmasstransfer.2017.07.048

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A single-relaxation-time (SRT) and a multiple-relaxation-time (MRT) lattice Boltzmann (LB) models are proposed for three-dimensional (3 D) solid-liquid phase change. The enthalpy conservation equation can be recovered from the present models. The reasonable relationship of the relaxation times in the MRT model is discussed. One-dimensional (1 D) melting with analytical solution is calculated by the SRT and MRT models for validation. Moveover, 1 D solidification with analytical solution is simulated by using the MRT model. Compared with the SRT model, the MRT one is more accurate to capture the phase interface. The MRT model is also verified with other published two-dimensional (2 D) analytical and numerical results. The validations suggest that the present MRT approach is qualified to simulate the 3 D solid-liquid phase change process. Furthermore, the influences of Rayleigh number and Prandtl number on the 3 D melting are investigated. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1334 / 1347

页数：14

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