{"title":"弯曲通道中两相介质非等温流动的数学建模","authors":"R. I. Ibyatov, F. G. Akhmadiev","doi":"10.1134/s1995080224602200","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The mathematical modeling of the non-isothermal flow of two-phase media in curved channels and pipes of complex geometric shapes is considered. Simplified equations of motion of a two-phase medium, taking into account the flow characteristics, written in an orthogonal coordinate system associated with the flow region, are solved by the method of equal flow surfaces. An algorithm for calculating the flow is constructed for the implementation of a computational experiment. This takes into account changes in the physical characteristics of the two-phase medium depending on temperature. Numerical calculations have been performed for channels of parabolic and conical shapes, taking into account changes in the effective viscosity of the medium from temperature, the initial section of the flow, and the influence of the centrifugal force field. Based on the conducted computational experiment, various flow regimes and the influence of various parameters on the hydrodynamic situation in the flow region are studied.</p>","PeriodicalId":46135,"journal":{"name":"Lobachevskii Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Modeling of Non-isothermal Flow of Two-phase Media in Curved Channels\",\"authors\":\"R. I. Ibyatov, F. G. Akhmadiev\",\"doi\":\"10.1134/s1995080224602200\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>The mathematical modeling of the non-isothermal flow of two-phase media in curved channels and pipes of complex geometric shapes is considered. Simplified equations of motion of a two-phase medium, taking into account the flow characteristics, written in an orthogonal coordinate system associated with the flow region, are solved by the method of equal flow surfaces. An algorithm for calculating the flow is constructed for the implementation of a computational experiment. This takes into account changes in the physical characteristics of the two-phase medium depending on temperature. Numerical calculations have been performed for channels of parabolic and conical shapes, taking into account changes in the effective viscosity of the medium from temperature, the initial section of the flow, and the influence of the centrifugal force field. Based on the conducted computational experiment, various flow regimes and the influence of various parameters on the hydrodynamic situation in the flow region are studied.</p>\",\"PeriodicalId\":46135,\"journal\":{\"name\":\"Lobachevskii Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lobachevskii Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1995080224602200\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lobachevskii Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995080224602200","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Mathematical Modeling of Non-isothermal Flow of Two-phase Media in Curved Channels
Abstract
The mathematical modeling of the non-isothermal flow of two-phase media in curved channels and pipes of complex geometric shapes is considered. Simplified equations of motion of a two-phase medium, taking into account the flow characteristics, written in an orthogonal coordinate system associated with the flow region, are solved by the method of equal flow surfaces. An algorithm for calculating the flow is constructed for the implementation of a computational experiment. This takes into account changes in the physical characteristics of the two-phase medium depending on temperature. Numerical calculations have been performed for channels of parabolic and conical shapes, taking into account changes in the effective viscosity of the medium from temperature, the initial section of the flow, and the influence of the centrifugal force field. Based on the conducted computational experiment, various flow regimes and the influence of various parameters on the hydrodynamic situation in the flow region are studied.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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