小边界扰动对MHD管道流动的影响

IF 0.7 Q4 MECHANICS
U. Mahabaleshwar, Igor Pažanin, M. Radulović, F. S. Grau
{"title":"小边界扰动对MHD管道流动的影响","authors":"U. Mahabaleshwar, Igor Pažanin, M. Radulović, F. S. Grau","doi":"10.2298/TAM170511004M","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude ǫ is applied on cross-section of the duct. Using the asymptotic analysis with respect to ǫ, we derive the effective model given by the explicit formulae for the velocity and induced magnetic field. Numerical results are provided confirming that the considered perturbation has nonlocal impact on the asymptotic solution.","PeriodicalId":44059,"journal":{"name":"Theoretical and Applied Mechanics","volume":"68 1","pages":"83-101"},"PeriodicalIF":0.7000,"publicationDate":"2017-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Effects of small boundary perturbation on the MHD duct flow\",\"authors\":\"U. Mahabaleshwar, Igor Pažanin, M. Radulović, F. S. Grau\",\"doi\":\"10.2298/TAM170511004M\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude ǫ is applied on cross-section of the duct. Using the asymptotic analysis with respect to ǫ, we derive the effective model given by the explicit formulae for the velocity and induced magnetic field. Numerical results are provided confirming that the considered perturbation has nonlocal impact on the asymptotic solution.\",\"PeriodicalId\":44059,\"journal\":{\"name\":\"Theoretical and Applied Mechanics\",\"volume\":\"68 1\",\"pages\":\"83-101\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2017-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical and Applied Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/TAM170511004M\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/TAM170511004M","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 6

摘要

本文研究了在外加横向磁场作用下,小边界扰动对矩形管道中导电流体层流运动的影响。在管道的横截面上施加一个大小为0的边界微扰。利用对0的渐近分析,导出了速度和感应磁场的显式模型。数值结果证实了所考虑的扰动对渐近解有非局部影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effects of small boundary perturbation on the MHD duct flow
In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude ǫ is applied on cross-section of the duct. Using the asymptotic analysis with respect to ǫ, we derive the effective model given by the explicit formulae for the velocity and induced magnetic field. Numerical results are provided confirming that the considered perturbation has nonlocal impact on the asymptotic solution.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
0.90
自引率
0.00%
发文量
4
审稿时长
32 weeks
期刊介绍: Theoretical and Applied Mechanics (TAM) invites submission of original scholarly work in all fields of theoretical and applied mechanics. TAM features selected high quality research articles that represent the broad spectrum of interest in mechanics.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信