Proof that the Clausius-Serrin inequality is equivalent to a strengthened "Kelvin's law"
- Volume: 69, Issue: 6, page 399-409
- ISSN: 0392-7881
Access Full Article
topAbstract
topHow to cite
topMan, Chi-Sing. "Proof that the Clausius-Serrin inequality is equivalent to a strengthened "Kelvin's law"." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 69.6 (1980): 399-409. <http://eudml.org/doc/288677>.
@article{Man1980,
author = {Man, Chi-Sing},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {399-409},
publisher = {Accademia Nazionale dei Lincei},
title = {Proof that the Clausius-Serrin inequality is equivalent to a strengthened "Kelvin's law"},
url = {http://eudml.org/doc/288677},
volume = {69},
year = {1980},
}
TY - JOUR
AU - Man, Chi-Sing
TI - Proof that the Clausius-Serrin inequality is equivalent to a strengthened "Kelvin's law"
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1980/12//
PB - Accademia Nazionale dei Lincei
VL - 69
IS - 6
SP - 399
EP - 409
LA - eng
UR - http://eudml.org/doc/288677
ER -
References
top- Serrin, J. (1978) - The concepts of thermodynamics, pp. 411—451 of G.M. de La Penha and L.A. Medeiros (eds.), Contemporary Developments in Continuum Mechanics and Partial Differential Equations, Amsterdam etc., North-Holland Publishing Company. Zbl0433.73003
- Serrin, J. (1979) - Conceptual analysis of the classical second laws of thermodynamics, «Arch. Rational Mech. Anal.», 70, 355-371.
- Man, C.-S. - Thermodynamics based on a work inequality, forthcoming in «Arch. Rational Mech. Anal.».
- Man, C.-S. - A generalized Kelvin's law for systems with approximate restorability, in preparation.
- Clausius, R. (1865) - Über verschiedene für die Anwendung bequeme Formen der Hauptgleichungen der mechanischen Wärmetheorie, «Annalen der Physik und Chemie» (2) 125, 353-400. Transl. R.B. Lindsay, On different forms of the fundamental equations of the mechanical theory of heat and their convenience for application, pp. 162-193 of The Second Law of Thermodynamics, ed. J. Kestin, Stroudsburg (Pa.), Dowden, Hutchinson and Ross, 1976.
- Serrin, J. (1975) - Foundations of Classical Thermodynamics, Lecture Notes, Department of Mathematics, University of Chicago.
- Man, C.-S. - Proof of the Clausius-Serrin inequalities under the thermometric axiom, in preparation.
- Thomson, W. (later Lord Kelvin) (1850-1853) - On the dynamical theory of heat, with numerical results deduced from Mr. Joule's equivalent of a thermal unit, and Mr Regnault's observations on steam, Parts I-III, «Transactions of the Royal Society of Edinburgh», 20, Part 2, 261-268, 289-298.
- Pippard, A.B. (1964) - The Elements of Classical Thermodynamics, Cambridge etc., Cambridge University Press.
- Truesdell, C. and Bharatha, S. (1977) - The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines, Rigorously Constructed upon the Foundation Laid by S. Carnot and F. Reech, New York etc., Springer-Verlag. Zbl0379.73001
- Truesdell, C. and Toupin, R. (1960) - The classical field theories, pp. 226-793 of «Encyclopedia of Physics», Volume 3, Part 1, ed. S. Flügge, Berlin etc., Springer-Verlag.
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.