Scholarlink

<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>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An extended thermodynamic model for dilute granular gases

  • 期刊论文

  • 发表日期：

    2025年11月5日

查看全文
  • Elvira Barbera,
  • Annamaria Pollino

摘要

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.