The Theory of Thermodynamic Systems with Internal Variables of State: Necessary and Sufficient Conditions for Compliance with the Second Law of Thermodynamics

被引：5

作者：

Shnip A.I. ^{[1
]}

机构：

[1] A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk

来源：

Journal of Engineering Physics and Thermophysics | 2018年 / 91卷 / 01期

关键词：

second law of thermodynamics; systems with internal variables; systems with memory; thermodynamic potential; thermodynamics;

D O I：

10.1007/s10891-018-1714-2

中图分类号：

TK1 [热力工程、热机];

学科分类号：

080702 ;

摘要：

Based on the entropy-free thermodynamic approach, a generalized theory of thermodynamic systems with internal variables of state is being developed. For the case of nonlinear thermodynamic systems with internal variables of state and linear relaxation, the necessary and sufficient conditions have been proved for fulfillment of the second law of thermodynamics in entropy-free formulation which, according to the basic theorem of the theory, are also necessary and sufficient for the existence of a thermodynamic potential. Moreover, relations of correspondence between thermodynamic systems with memory and systems with internal variables of state have been established, as well as some useful relations in the spaces of states of both types of systems. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：1 / 15

页数：14

共 15 条

[11]

Coleman B.D., Owen D.R., A mathematical foundation for thermodynamics, Arch. Ration. Mech. Anal., 54, 1, pp. 1-102, (1974)

[12]

Willems J., Linear systems with quadratic supply rates, Arch. Ration. Mech. Anal., 45, pp. 321-393, (1972)

[13]

Willems J., Realisation of systems with internal passivity and symmetry constraints, J. Franklin Inst., 301, 6, pp. 605-621, (1978)

[14]

Borukhov V.T., Shnip A.I., Subordinated systems and dissipative inequality for linear finite-dimensional passive systems, Syst. Sci., 25, 4, pp. 15-24, (1999)

[15]

Borukhov V.T., Shnip A.I., Zelenyak D.M., Storage functionals and Lyapunov functions for passive dynamical systems, Syst. Sci., 27, 2, pp. 27-35, (2001)

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