稀薄气体中的局部输运关系

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.008

V.S. Galkin, S.V. Rusakov

{"title":"稀薄气体中的局部输运关系","authors":"V.S. Galkin, S.V. Rusakov","doi":"10.1016/j.jappmathmech.2017.08.008","DOIUrl":null,"url":null,"abstract":"<div><p><span>Three particular cases from the class of exact moment solutions of the Boltzmann–Maxwell kinetic equation for homoenergetic affine flows of a </span>monatomic gas<span> of Maxwellian molecules are considered. Conditions are formulated under which local expressions for the viscous stresses closing the gas-dynamic problem (here this is the energy equation) follow from exact relations.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 2","pages":"Pages 157-163"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.008","citationCount":"0","resultStr":"{\"title\":\"The local transport relations in a rarefied gas\",\"authors\":\"V.S. Galkin, S.V. Rusakov\",\"doi\":\"10.1016/j.jappmathmech.2017.08.008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p><span>Three particular cases from the class of exact moment solutions of the Boltzmann–Maxwell kinetic equation for homoenergetic affine flows of a </span>monatomic gas<span> of Maxwellian molecules are considered. Conditions are formulated under which local expressions for the viscous stresses closing the gas-dynamic problem (here this is the energy equation) follow from exact relations.</span></p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"81 2\",\"pages\":\"Pages 157-163\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.008\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021892817300746\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300746","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

考虑了具有麦克斯韦分子的单原子气体的同能仿射流动的玻尔兹曼-麦克斯韦动力学方程的精确矩解的三种特殊情况。在此条件下，闭合气动力问题的粘性应力的局部表达式(这里是能量方程)符合精确关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The local transport relations in a rarefied gas

Three particular cases from the class of exact moment solutions of the Boltzmann–Maxwell kinetic equation for homoenergetic affine flows of a monatomic gas of Maxwellian molecules are considered. Conditions are formulated under which local expressions for the viscous stresses closing the gas-dynamic problem (here this is the energy equation) follow from exact relations.

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

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.