Humayoun Shahid , Hasan B. Albargi , Muhammad Ahsan , Fayyaz Ahmad , Mohammed Jalalah , M.M. Abdullah
{"title":"Numerical analysis of natural convection in a porous circular bend","authors":"Humayoun Shahid , Hasan B. Albargi , Muhammad Ahsan , Fayyaz Ahmad , Mohammed Jalalah , M.M. Abdullah","doi":"10.1016/j.jer.2024.04.001","DOIUrl":null,"url":null,"abstract":"<div><div>The study of natural convection in porous circular bends is pivotal due to its applications in various cooling system designs. This paper focuses on a circular bend with a heated inner wall and a colder outer wall, employing the finite difference method to solve the governing equations. The research encompasses Rayleigh numbers ranging from 20 to 750 and an aspect ratio (defined as <span><math><mrow><mi>R</mi><mo>=</mo><mfrac><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>−</mo><msub><mrow><mi>R</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></mfrac></mrow></math></span>) from 1.0 to 2.0. The findings highlight that variations in Rayleigh numbers and the circle’s radius significantly enhance heat transfer rates via convection, underscoring their critical roles in influencing flow and heat transfer within this configuration. It is also observed that the<em>Nu</em><sub>Avg</sub> on the heated wall increase with the increase in <em>R</em>. It is observed that for <em>R</em> = 0.75, <em>Nu</em><sub>Avg</sub> is 8.8 and for <em>R</em> = 1.5, <em>Nu</em><sub>Avg</sub> is increase to 9.7.</div></div>","PeriodicalId":48803,"journal":{"name":"Journal of Engineering Research","volume":"13 2","pages":"Pages 1024-1037"},"PeriodicalIF":2.2000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Engineering Research","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2307187724000919","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/4/4 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The study of natural convection in porous circular bends is pivotal due to its applications in various cooling system designs. This paper focuses on a circular bend with a heated inner wall and a colder outer wall, employing the finite difference method to solve the governing equations. The research encompasses Rayleigh numbers ranging from 20 to 750 and an aspect ratio (defined as ) from 1.0 to 2.0. The findings highlight that variations in Rayleigh numbers and the circle’s radius significantly enhance heat transfer rates via convection, underscoring their critical roles in influencing flow and heat transfer within this configuration. It is also observed that theNuAvg on the heated wall increase with the increase in R. It is observed that for R = 0.75, NuAvg is 8.8 and for R = 1.5, NuAvg is increase to 9.7.
期刊介绍:
Journal of Engineering Research (JER) is a international, peer reviewed journal which publishes full length original research papers, reviews, case studies related to all areas of Engineering such as: Civil, Mechanical, Industrial, Electrical, Computer, Chemical, Petroleum, Aerospace, Architectural, Biomedical, Coastal, Environmental, Marine & Ocean, Metallurgical & Materials, software, Surveying, Systems and Manufacturing Engineering. In particular, JER focuses on innovative approaches and methods that contribute to solving the environmental and manufacturing problems, which exist primarily in the Arabian Gulf region and the Middle East countries. Kuwait University used to publish the Journal "Kuwait Journal of Science and Engineering" (ISSN: 1024-8684), which included Science and Engineering articles since 1974. In 2011 the decision was taken to split KJSE into two independent Journals - "Journal of Engineering Research "(JER) and "Kuwait Journal of Science" (KJS).