Rational extended thermodynamics for moderately dense granular gases

IF 3 4区工程技术 Q3 MECHANICS

Continuum Mechanics and Thermodynamics Pub Date : 2026-08-18 DOI:10.1007/s00161-026-01521-0

Elvira Barbera, Annamaria Pollino

引用次数: 0

Abstract

A closed system of 13 field equations for the description of a moderately dense granular gas is provided in the context of rational extended thermodynamic theory (RET). Starting from the basic assumptions of RET, a particular structure appropriate to moderately dense granular gasses is assumed. Closure of field equations is achieved by universal physical principles, such as the Galileian Invariance Principle and the Principle of Entropy. The obtained field equations are in agreement with balance equations determined within the framework of Grad’s 13-moments theory by Jenkins and Richman. Explicit production terms are identified by comparison with the Grad’s 13-moments theory, adapted to moderately dense granular gases. In order to study the validity of the present model, its hyperbolic nature is investigated through the determination of the characteristic velocities. Spatially homogeneous solutions are computed and the dispersion relation is analyzed for several kinds of moderately dense gases in order to study the stability of the homogeneous solutions.

查看原文本刊更多论文

中等密度颗粒气体的合理扩展热力学

在合理扩展热力学理论（RET）的背景下，给出了描述中等密度颗粒气体的13个场方程的封闭系统。从RET的基本假设出发，假设了适合于中等密度颗粒气体的特定结构。场方程的闭包是由普遍的物理原理实现的，如伽利略不变性原理和熵原理。所得的场方程与Jenkins和Richman在Grad的13矩理论框架内确定的平衡方程一致。通过与Grad的13矩理论进行比较，确定了显式生产项，适用于中等密度的颗粒气体。为了研究该模型的有效性，通过确定特征速度来研究其双曲性质。为了研究均匀溶液的稳定性，计算了几种中等密度气体的空间均匀溶液，并分析了它们的色散关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Continuum Mechanics and Thermodynamics 物理-力学

CiteScore

5.30

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal provides a forum for presenting new ideas in continuum and quasi-continuum modeling of systems with a large number of degrees of freedom and sufficient complexity to require thermodynamic closure. Major emphasis is placed on papers attempting to bridge the gap between discrete and continuum approaches as well as micro- and macro-scales, by means of homogenization, statistical averaging and other mathematical tools aimed at the judicial elimination of small time and length scales. The journal is particularly interested in contributions focusing on a simultaneous description of complex systems at several disparate scales. Papers presenting and explaining new experimental findings are highly encouraged. The journal welcomes numerical studies aimed at understanding the physical nature of the phenomena. Potential subjects range from boiling and turbulence to plasticity and earthquakes. Studies of fluids and solids with nonlinear and non-local interactions, multiple fields and multi-scale responses, nontrivial dissipative properties and complex dynamics are expected to have a strong presence in the pages of the journal. An incomplete list of featured topics includes: active solids and liquids, nano-scale effects and molecular structure of materials, singularities in fluid and solid mechanics, polymers, elastomers and liquid crystals, rheology, cavitation and fracture, hysteresis and friction, mechanics of solid and liquid phase transformations, composite, porous and granular media, scaling in statics and dynamics, large scale processes and geomechanics, stochastic aspects of mechanics. The journal would also like to attract papers addressing the very foundations of thermodynamics and kinetics of continuum processes. Of special interest are contributions to the emerging areas of biophysics and biomechanics of cells, bones and tissues leading to new continuum and thermodynamical models.