{"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}
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.
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.
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