{"title":"关于层流射流的自相似性","authors":"A. M. Gaifullin, A. S. Shcheglov","doi":"10.1134/S0015462825600683","DOIUrl":null,"url":null,"abstract":"<p>The problems of laminar jets that admit self-similar solutions are considered. A method for determining the self-similarity parameter is proposed based on the condition of existence of a solution to equations in self-similar variables under given boundary conditions with only a single self-similarity parameter. In problems of plane free and wall jets the self-similarity parameters are determined analytically. In the problem of a three-dimensional wall jet, the self-similarity parameter is determined using a neural network.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"60 3","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S0015462825600683.pdf","citationCount":"0","resultStr":"{\"title\":\"On Self-Similarity of Laminar Jets\",\"authors\":\"A. M. Gaifullin, A. S. Shcheglov\",\"doi\":\"10.1134/S0015462825600683\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The problems of laminar jets that admit self-similar solutions are considered. A method for determining the self-similarity parameter is proposed based on the condition of existence of a solution to equations in self-similar variables under given boundary conditions with only a single self-similarity parameter. In problems of plane free and wall jets the self-similarity parameters are determined analytically. In the problem of a three-dimensional wall jet, the self-similarity parameter is determined using a neural network.</p>\",\"PeriodicalId\":560,\"journal\":{\"name\":\"Fluid Dynamics\",\"volume\":\"60 3\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1134/S0015462825600683.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fluid Dynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0015462825600683\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462825600683","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
The problems of laminar jets that admit self-similar solutions are considered. A method for determining the self-similarity parameter is proposed based on the condition of existence of a solution to equations in self-similar variables under given boundary conditions with only a single self-similarity parameter. In problems of plane free and wall jets the self-similarity parameters are determined analytically. In the problem of a three-dimensional wall jet, the self-similarity parameter is determined using a neural network.
期刊介绍:
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.