{"title":"Horizontal free convection","authors":"N. Amin, N. Riley","doi":"10.1098/rspa.1990.0018","DOIUrl":null,"url":null,"abstract":"The boundary-layer flow over a heated horizontal plane boundary is analysed. Temperature variations along the boundary induce a pressure gradient that drives the flow. From consideration of an exact solution it is shown that no steady boundary-layer solution exists at a point where the temperature is a maximum. This is confirmed from the unsteady flow development that, at such a point, reveals a singular behaviour at a finite time. Steady, spatially periodic flows are considered for which it is shown that the boundary-layer solution terminates in a collision at points where the temperature is a maximum.","PeriodicalId":20605,"journal":{"name":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","volume":"58 1","pages":"371 - 384"},"PeriodicalIF":0.0000,"publicationDate":"1990-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.1990.0018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16

Abstract

The boundary-layer flow over a heated horizontal plane boundary is analysed. Temperature variations along the boundary induce a pressure gradient that drives the flow. From consideration of an exact solution it is shown that no steady boundary-layer solution exists at a point where the temperature is a maximum. This is confirmed from the unsteady flow development that, at such a point, reveals a singular behaviour at a finite time. Steady, spatially periodic flows are considered for which it is shown that the boundary-layer solution terminates in a collision at points where the temperature is a maximum.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
水平自由对流
分析了加热水平面边界上的边界层流动。沿边界的温度变化引起了驱动流动的压力梯度。从精确解的考虑来看,在温度最高的点上不存在稳定的边界层解。这从非定常流的发展中得到证实,在这一点上,在有限时间内显示出奇异的行为。考虑了稳定的空间周期性流动,结果表明,边界层解在温度最大值处的碰撞中终止。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Some examples of Penrose’s quasi-local mass construction The influence of diffusion on the current-voltage curve in a flame ionization detector High strain-rate shear response of polycarbonate and polymethyl methacrylate On the evolution of plane detonations On the solutions of a class of dual integral equations occurring in diffraction problems
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1