{"title":"可压缩麦克斯韦流体的加速度波分析","authors":"B. Straughan","doi":"10.1016/j.mechrescom.2025.104500","DOIUrl":null,"url":null,"abstract":"<div><div>An acceleration wave analysis is developed for a Maxwell viscoelastic fluid which is compressible. A revised Maxwell fluid model is also considered. A two-dimensional discontinuity surface which is an acceleration wave is analysed moving in three-dimensional space. It is found that a longitudinal wave may propagate, but the Maxwell model also allows for a transverse wave. The wavespeeds are calculated explicitly. The wave amplitude is calculated for a plane wave moving in a fixed direction and the amplitude is compared with the analogous one in an inviscid fluid.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104500"},"PeriodicalIF":2.3000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Acceleration wave analysis for a compressible Maxwell fluid\",\"authors\":\"B. Straughan\",\"doi\":\"10.1016/j.mechrescom.2025.104500\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>An acceleration wave analysis is developed for a Maxwell viscoelastic fluid which is compressible. A revised Maxwell fluid model is also considered. A two-dimensional discontinuity surface which is an acceleration wave is analysed moving in three-dimensional space. It is found that a longitudinal wave may propagate, but the Maxwell model also allows for a transverse wave. The wavespeeds are calculated explicitly. The wave amplitude is calculated for a plane wave moving in a fixed direction and the amplitude is compared with the analogous one in an inviscid fluid.</div></div>\",\"PeriodicalId\":49846,\"journal\":{\"name\":\"Mechanics Research Communications\",\"volume\":\"148 \",\"pages\":\"Article 104500\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics Research Communications\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0093641325001338\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325001338","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
Acceleration wave analysis for a compressible Maxwell fluid
An acceleration wave analysis is developed for a Maxwell viscoelastic fluid which is compressible. A revised Maxwell fluid model is also considered. A two-dimensional discontinuity surface which is an acceleration wave is analysed moving in three-dimensional space. It is found that a longitudinal wave may propagate, but the Maxwell model also allows for a transverse wave. The wavespeeds are calculated explicitly. The wave amplitude is calculated for a plane wave moving in a fixed direction and the amplitude is compared with the analogous one in an inviscid fluid.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.