{"title":"Study of thermal convection in liquid metal using modified lattice Boltzmann method","authors":"Runa Samanta, Himadri Chattopadhyay","doi":"10.1108/hff-08-2024-0621","DOIUrl":null,"url":null,"abstract":"<h3>Purpose</h3>\n<p>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 (<em>Pr</em>) 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.</p><!--/ Abstract__block -->\n<h3>Design/methodology/approach</h3>\n<p>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 <em>Pr</em> domain melting behavior of liquid metals.</p><!--/ Abstract__block -->\n<h3>Findings</h3>\n<p>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 <em>Pr</em> range. Results show that the melting rate and the length of the interface between two phases are significantly influenced by the Boussinesq number (<em>Bo</em>), the product of <em>Pr</em> and Rayleigh number (<em>Ra</em>). For changing <em>Ra</em>, 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 <em>Bo</em>.</p><!--/ Abstract__block -->\n<h3>Originality/value</h3>\n<p>The effects of <em>Pr</em> on melting rate, <em>Ra</em> and <em>Pr</em> 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 <em>Bo</em>.</p><!--/ Abstract__block -->","PeriodicalId":14263,"journal":{"name":"International Journal of Numerical Methods for Heat & Fluid Flow","volume":"17 1","pages":""},"PeriodicalIF":4.0000,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Numerical Methods for Heat & Fluid Flow","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1108/hff-08-2024-0621","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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