Dissipative Structures of Marangoni Convection in a Thin Layer of liquid with Lattice of Localized and Continuously Distributed Heat Sources and Sinks

IF 1.3 4区工程技术 Q2 ENGINEERING, AEROSPACE

Microgravity Science and Technology Pub Date : 2023-07-03 DOI:10.1007/s12217-023-10061-0

Igor I. Wertgeim, Vadim A. Sharifulin, Albert N. Sharifulin

{"title":"Dissipative Structures of Marangoni Convection in a Thin Layer of liquid with Lattice of Localized and Continuously Distributed Heat Sources and Sinks","authors":"Igor I. Wertgeim, Vadim A. Sharifulin, Albert N. Sharifulin","doi":"10.1007/s12217-023-10061-0","DOIUrl":null,"url":null,"abstract":"<div><p>The three-dimensional solutions of nonlinear long-wavelength approximations for the problem of Marangoni convection in a thin horizontal layer of a viscous incompressible fluid with a free surface is being considered. The temperature distribution in the liquid corresponds to a uniform vertical gradient distorted by the imposition of a weakly inhomogeneous heat flux localized in the horizontal plane, caused by a lattice of either localized or continuously distributed heat sources and sinks. The lower boundary of the layer is solid and thermally insulated, while the upper one is free and deformable. The statement of the problem is motivated by the search for ways to control convection structures. The problem in long-wave approximation is described by a system of nonlinear transport equations for the amplitudes of temperature distribution and surface deformation. The numerical solution of the problem is based on the pseudospectral method. The dynamics of non-stationary dissipative structures is considered.\n</p></div>","PeriodicalId":707,"journal":{"name":"Microgravity Science and Technology","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12217-023-10061-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Microgravity Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s12217-023-10061-0","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}

引用次数: 0

Abstract

The three-dimensional solutions of nonlinear long-wavelength approximations for the problem of Marangoni convection in a thin horizontal layer of a viscous incompressible fluid with a free surface is being considered. The temperature distribution in the liquid corresponds to a uniform vertical gradient distorted by the imposition of a weakly inhomogeneous heat flux localized in the horizontal plane, caused by a lattice of either localized or continuously distributed heat sources and sinks. The lower boundary of the layer is solid and thermally insulated, while the upper one is free and deformable. The statement of the problem is motivated by the search for ways to control convection structures. The problem in long-wave approximation is described by a system of nonlinear transport equations for the amplitudes of temperature distribution and surface deformation. The numerical solution of the problem is based on the pseudospectral method. The dynamics of non-stationary dissipative structures is considered.

Abstract Image

查看原文本刊更多论文

具有局部连续分布热源和汇晶格的薄层液体中Marangoni对流的耗散结构

研究了具有自由表面的粘性不可压缩流体的水平薄层中Marangoni对流问题的非线性长波长近似的三维解。液体中的温度分布对应于均匀的垂直梯度，这是由局部分布或连续分布的热源和汇的晶格引起的，这是由水平面上的弱不均匀热通量的施加而扭曲的。该层的下边界是固体和隔热的，而上边界是自由和可变形的。提出这个问题的动机是寻找控制对流结构的方法。长波近似问题是用温度分布和地表变形振幅的非线性输运方程系统来描述的。该问题的数值解基于伪谱法。考虑了非平稳耗散结构的动力学问题。

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分钟内获得全文求助全文

来源期刊

Microgravity Science and Technology 工程技术-工程：宇航

CiteScore

3.50

自引率

44.40%

发文量

期刊介绍： Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity. Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges). Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are: − materials science − fluid mechanics − process engineering − physics − chemistry − heat and mass transfer − gravitational biology − radiation biology − exobiology and astrobiology − human physiology