On some remarkable properties of an extended thermodynamic model for dense gases and macromolecular fluids

Author:

Carrisi M. C.1,Mele M. A.1,Pennisi S.1

Affiliation:

1. Dipartimento di Matematica ed Informatica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy

Abstract

Recently, the 14 moments model of extended thermodynamics for dense gases and macromolecular fluids has been considered and an exact solution, of the restrictions imposed by the entropy principle and that of Galilean relativity, has been obtained without using Taylor's expansions. Here, we prove the uniqueness of the above solution and exploit other pertinent conditions such as the convexity of the function h ′ related to the entropy density, the problem of subsystems and the fact that the flux in the conservation law of mass must be the moment of order 1 in the conservation law of momentum. The results present interesting aspects which were not suspected when only approximated solutions of this problem were known.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference25 articles.

1. Consistently ordered extended thermodynamics - a proposal for an alternative method

2. Wave features for consistent-order-extended thermodynamics

3. The macroscopic approach to extended thermodynamics with 14 moments, up to whatever order;Carrisi M. C.;Int. J. Pure Appl. Math.,2007

4. A new way to obtain, without using expansions, a 14 moments model in extended thermodynamics;Carrisi M. C.;Int. J. Pure Appl. Math.,2008

5. The Galilean relativity principle for a new kind of systems of balance equations in extended thermodynamics;Carrisi M. C.;Int. J. Pure Appl. Math.,2008

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Macroscopic Theory of Rarefied Polyatomic Gas with 14 Fields;Classical and Relativistic Rational Extended Thermodynamics of Gases;2020-11-20

2. An 18 Moments Model for Dense Gases: Entropy and Galilean Relativity Principles without Expansions;Entropy;2015-01-09

3. RET 14-Field Theory of Polyatomic Gas and Dense Gas;Rational Extended Thermodynamics beyond the Monatomic Gas;2015

4. Recent Developments in Extended Thermodynamics of Dense and Rarefied Polyatomic Gases;Acta Applicandae Mathematicae;2014-05-21

5. Heat Transfer Problem in a Van Der Waals Gas;Acta Applicandae Mathematicae;2014-05-17

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3