{"title":"衬底上的冰-水相变","authors":"V. G. Danilov, R. K. Gaydukov","doi":"10.1134/S1061920823020036","DOIUrl":null,"url":null,"abstract":"<p> In this paper, we construct and study a model of phase transition in a system of two phases (liquid and ice) and three media, namely, water, a piece of ice, and a nonmelting solid substrate. Namely, the melting-crystallization process is considered in the problem of water flow along a small ice irregularity (such as a frozen drop) on a flat substrate for large Reynolds numbers. The results of numerical simulation are presented. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"30 2","pages":"165 - 175"},"PeriodicalIF":1.7000,"publicationDate":"2023-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ice-Water Phase Transition on a Substrate\",\"authors\":\"V. G. Danilov, R. K. Gaydukov\",\"doi\":\"10.1134/S1061920823020036\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> In this paper, we construct and study a model of phase transition in a system of two phases (liquid and ice) and three media, namely, water, a piece of ice, and a nonmelting solid substrate. Namely, the melting-crystallization process is considered in the problem of water flow along a small ice irregularity (such as a frozen drop) on a flat substrate for large Reynolds numbers. The results of numerical simulation are presented. </p>\",\"PeriodicalId\":763,\"journal\":{\"name\":\"Russian Journal of Mathematical Physics\",\"volume\":\"30 2\",\"pages\":\"165 - 175\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2023-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Journal of Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1061920823020036\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920823020036","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
In this paper, we construct and study a model of phase transition in a system of two phases (liquid and ice) and three media, namely, water, a piece of ice, and a nonmelting solid substrate. Namely, the melting-crystallization process is considered in the problem of water flow along a small ice irregularity (such as a frozen drop) on a flat substrate for large Reynolds numbers. The results of numerical simulation are presented.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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