表面张力对两种流体剪切不稳定性的影响

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY

Papers in Physics Pub Date : 2014-11-25 DOI:10.4279/PIP.060006

R. Banerjee, S. Kanjilal

{"title":"表面张力对两种流体剪切不稳定性的影响","authors":"R. Banerjee, S. Kanjilal","doi":"10.4279/PIP.060006","DOIUrl":null,"url":null,"abstract":"Using extended Layzer's potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The nonlinear asymptotic solutions are obtained analytically for the velocity and curvature of the bubble and spike tip. We find that the surface tension decreases the velocity but does not affect the curvature, provided surface tension is greater than a critical value. For a certain condition, we observe that surface tension stabilizes the motion. Any perturbation, whatever its magnitude, results stable with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of the two fluids. Received: 20 March 2014, Accepted: 7 August 2014; Edited by: A. Marti; DOI: http://dx.doi.org/10.4279/PIP.060006 Cite as: R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)","PeriodicalId":19791,"journal":{"name":"Papers in Physics","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2014-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of surface tension on two fluids shearing instability\",\"authors\":\"R. Banerjee, S. Kanjilal\",\"doi\":\"10.4279/PIP.060006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using extended Layzer's potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The nonlinear asymptotic solutions are obtained analytically for the velocity and curvature of the bubble and spike tip. We find that the surface tension decreases the velocity but does not affect the curvature, provided surface tension is greater than a critical value. For a certain condition, we observe that surface tension stabilizes the motion. Any perturbation, whatever its magnitude, results stable with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of the two fluids. Received: 20 March 2014, Accepted: 7 August 2014; Edited by: A. Marti; DOI: http://dx.doi.org/10.4279/PIP.060006 Cite as: R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)\",\"PeriodicalId\":19791,\"journal\":{\"name\":\"Papers in Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2014-11-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Papers in Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4279/PIP.060006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Papers in Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4279/PIP.060006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

利用扩展的Layzer势流模型，我们研究了表面张力对瑞利-泰勒和开尔文-亥姆霍兹复合不稳定性中气泡和尖峰生长的影响。得到了气泡和尖刺的速度和曲率的非线性渐近解。我们发现，如果表面张力大于一个临界值，表面张力会降低速度，但不会影响曲率。在一定条件下，我们观察到表面张力使运动稳定。任何扰动，无论其大小如何，都会产生稳定的非线性振荡。非线性振荡取决于两种流体的表面张力和相对速度剪切。收稿日期:2014年3月20日，收稿日期:2014年8月7日;编辑:A. Marti;引用全文:R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Influence of surface tension on two fluids shearing instability

Using extended Layzer's potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The nonlinear asymptotic solutions are obtained analytically for the velocity and curvature of the bubble and spike tip. We find that the surface tension decreases the velocity but does not affect the curvature, provided surface tension is greater than a critical value. For a certain condition, we observe that surface tension stabilizes the motion. Any perturbation, whatever its magnitude, results stable with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of the two fluids. Received: 20 March 2014, Accepted: 7 August 2014; Edited by: A. Marti; DOI: http://dx.doi.org/10.4279/PIP.060006 Cite as: R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)

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

Papers in Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： Papers in Physics publishes original research in all areas of physics and its interface with other subjects. The scope includes, but is not limited to, physics of particles and fields, condensed matter, relativity and gravitation, nuclear physics, physics of fluids, biophysics, econophysics, chemical physics, statistical mechanics, soft condensed matter, materials science, mathematical physics and general physics. Contributions in the areas of foundations of physics, history of physics and physics education are not considered for publication. Articles published in Papers in Physics contain substantial new results and ideas that advance the state of physics in a non-trivial way. Articles are strictly reviewed by specialists prior to publication. Papers in Physics highlights outstanding articles published in the journal through the Editors'' choice section. Papers in Physics offers two distinct editorial treatments to articles from which authors can choose. In Traditional Review, manuscripts are submitted to anonymous reviewers seeking constructive criticism and editors make a decision on whether publication is appropriate. In Open Review, manuscripts are sent to reviewers. If the paper is considered original and technically sound, the article, the reviewer''s comments and the author''s reply are published alongside the names of all involved. This way, Papers in Physics promotes the open discussion of controversies among specialists that are of help to the reader and to the transparency of the editorial process. Moreover, our reviewers receive their due recognition by publishing a recorded citable report. Papers in Physics publishes Commentaries from the reviewer(s) if major disagreements remain after exchange with the authors or if a different insight proposed is considered valuable for the readers.