多孔介质中向不稳定过渡的Darcy和Brinkman近似的比较分析

IF 0.6 4区物理与天体物理 Q4 MECHANICS

Doklady Physics Pub Date : 2023-11-02 DOI:10.1134/S1028335823010056

A. T. Il’ichev, G. G. Tsypkin

{"title":"多孔介质中向不稳定过渡的Darcy和Brinkman近似的比较分析","authors":"A. T. Il’ichev, G. G. Tsypkin","doi":"10.1134/S1028335823010056","DOIUrl":null,"url":null,"abstract":"<p>The stability of the evaporation front in a porous medium has been studied. The flow is described using the generalized Brinkman equation. The data obtained are compared with the results found within the Darcy approximation. It is shown that the use of the Brinkman approximation removes the unboundedness of the perturbation growth rate on small scales arising in the case of Darcy’s law. The interface becomes more stable; in the case of instability, the most unstable mode corresponds to a finite value of the wave number.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 1","pages":"9 - 13"},"PeriodicalIF":0.6000,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparative Analysis of the Darcy and Brinkman Approximations for the Transition to Instability in a Porous Medium\",\"authors\":\"A. T. Il’ichev, G. G. Tsypkin\",\"doi\":\"10.1134/S1028335823010056\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The stability of the evaporation front in a porous medium has been studied. The flow is described using the generalized Brinkman equation. The data obtained are compared with the results found within the Darcy approximation. It is shown that the use of the Brinkman approximation removes the unboundedness of the perturbation growth rate on small scales arising in the case of Darcy’s law. The interface becomes more stable; in the case of instability, the most unstable mode corresponds to a finite value of the wave number.</p>\",\"PeriodicalId\":533,\"journal\":{\"name\":\"Doklady Physics\",\"volume\":\"68 1\",\"pages\":\"9 - 13\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-11-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Doklady Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1028335823010056\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1028335823010056","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

摘要

对多孔介质中蒸发前沿的稳定性进行了研究。使用广义Brinkman方程来描述流动。将所获得的数据与在Darcy近似中发现的结果进行比较。结果表明，Brinkman近似的使用消除了Darcy定律下小尺度扰动增长率的无界性。界面变得更加稳定；在不稳定的情况下，最不稳定的模式对应于波数的有限值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Comparative Analysis of the Darcy and Brinkman Approximations for the Transition to Instability in a Porous Medium

查看原文本刊更多论文

Comparative Analysis of the Darcy and Brinkman Approximations for the Transition to Instability in a Porous Medium

The stability of the evaporation front in a porous medium has been studied. The flow is described using the generalized Brinkman equation. The data obtained are compared with the results found within the Darcy approximation. It is shown that the use of the Brinkman approximation removes the unboundedness of the perturbation growth rate on small scales arising in the case of Darcy’s law. The interface becomes more stable; in the case of instability, the most unstable mode corresponds to a finite value of the wave number.

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

Doklady Physics 物理-力学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

4-8 weeks

期刊介绍： Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.