{"title":"An extended thermodynamic model for dilute granular gases","authors":"Elvira Barbera, Annamaria Pollino","doi":"10.1007/s00707-025-04572-7","DOIUrl":null,"url":null,"abstract":"<div><p>A thirteen-moment model for dilute granular gases is developed within the framework of Rational Extended Thermodynamics. A quasilinear system of partial differential equations, consisting of 13 field equations for the 13 field variables, is derived. The constitutive relations are determined by applying fundamental physical principles, in particular the entropy principle. To ensure the consistency of this macroscopic model, both the hyperbolicity region of the differential system and the region of entropy production are analyzed. The model is also solved in the homogeneous and stationary one-dimensional cases, and the validity of these solutions is examined. It is shown that the entropy principle imposes constraints on the admissibility of certain types of solutions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 3","pages":"1361 - 1373"},"PeriodicalIF":2.9000,"publicationDate":"2025-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04572-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
A thirteen-moment model for dilute granular gases is developed within the framework of Rational Extended Thermodynamics. A quasilinear system of partial differential equations, consisting of 13 field equations for the 13 field variables, is derived. The constitutive relations are determined by applying fundamental physical principles, in particular the entropy principle. To ensure the consistency of this macroscopic model, both the hyperbolicity region of the differential system and the region of entropy production are analyzed. The model is also solved in the homogeneous and stationary one-dimensional cases, and the validity of these solutions is examined. It is shown that the entropy principle imposes constraints on the admissibility of certain types of solutions.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
