Study of thermal convection in liquid metal using modified lattice Boltzmann method

IF 4 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Runa Samanta, Himadri Chattopadhyay
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引用次数: 0

Abstract

Purpose

This study aims to extend the application of the lattice Boltzmann method (LBM) to solve solid-to-liquid phase transition problems involving low Prandtl number (Pr) materials. It provides insight about the flow instability in a cavity undergoing melting. This work further report interface development and thermal transport against the Boussinesq number.

Design/methodology/approach

This study modifies the lattice Bhatnagar–Gross–Krook model by including correction components in the energy and density distribution functions. To prevent numerical instability, a tuning parameter in the flow domain is set in the range of 0.15–0.7 for the range of Rayleigh number and Prandtl number. To the best of the authors’ knowledge, the modified LBM is being used for the first time to examine the low Pr domain melting behavior of liquid metals.

Findings

The interaction with complicated flow structure with natural convection, studied in a square enclosure, has a significant impact on the melting of metals in the low Pr range. Results show that the melting rate and the length of the interface between two phases are significantly influenced by the Boussinesq number (Bo), the product of Pr and Rayleigh number (Ra). For changing Ra, the maximum interface length is almost constant in the in the Boussinesq number range up to 100 and beyond this range the interface length increases with Bo.

Originality/value

The effects of Pr on melting rate, Ra and Pr together on the length of the solid–liquid interface and the thermofluidic behavior in the melt zone are explained. This work also includes mapping the maximum melt interface size with Bo.

用改进晶格玻尔兹曼方法研究液态金属中的热对流
本研究旨在扩展晶格玻尔兹曼方法(LBM)的应用,以解决低普朗特数(Pr)材料的固-液相变问题。它提供了对熔化腔内流动不稳定性的认识。这项工作进一步报告了界面的发展和热输运与Boussinesq数的关系。设计/方法/方法本研究通过在能量和密度分布函数中加入校正分量来修改晶格Bhatnagar-Gross-Krook模型。为了防止数值不稳定,在流域对瑞利数和普朗特数的范围设置了一个0.15-0.7的调谐参数。据作者所知,改性的LBM首次被用于检测液态金属的低Pr域熔化行为。结果:在方形封闭条件下,研究了复杂流动结构与自然对流的相互作用对低Pr范围内金属的熔化有显著影响。结果表明:Boussinesq数(Bo)、Pr和Rayleigh数(Ra)的乘积对熔解速率和两相界面长度有显著影响;对于Ra的变化,在Boussinesq数≤100的范围内,最大界面长度几乎不变,超过该范围后界面长度随Bo的增大而增大。解释了Pr对熔体速度的影响,以及Ra和Pr对固液界面长度和熔体区热流行为的共同影响。这项工作还包括用Bo绘制最大熔体界面尺寸。
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来源期刊
CiteScore
9.50
自引率
11.90%
发文量
100
审稿时长
6-12 weeks
期刊介绍: The main objective of this international journal is to provide applied mathematicians, engineers and scientists engaged in computer-aided design and research in computational heat transfer and fluid dynamics, whether in academic institutions of industry, with timely and accessible information on the development, refinement and application of computer-based numerical techniques for solving problems in heat and fluid flow. - See more at: http://emeraldgrouppublishing.com/products/journals/journals.htm?id=hff#sthash.Kf80GRt8.dpuf
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