Abstract
The methods of nonlinear thermomechanics of continuous media are used for an analysis of transfer phenomena in binary fluid mixtures. From the derived relations, as a special case, are then deduced fundamental relations for the thermodynamics of irreversible processes to describe transfer phenomena in binary mixtures.
Similar content being viewed by others
Literature cited
C. Truesdell and R. Toupin, “The classical field theories,” Handbuch der Physik (S. Flugge, editor), Springer Press, Berlin (1960), Vol. 3, Chap. 1.
C. Truesdell and W. Noll, “The nonlinear field theories of mechanics,” Handbuch der Physik (S. Flugge, editor), Springer Press, Berlin (1965), Vol. 3, Chap. 3.
C. Truesdell, Rational Thermodynamics, McGraw Hill, New York (1969).
D. Coleman and W. Noll, Arch. Rational Mechan. Analysis,13, 167 (1963).
C. Truesdell, Six Lectures on Modern Natural Philosophy, Springer Press, Berlin (1966).
C. Truesdell, “Thermodynamics for beginners,” in: Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids, Symposium in Vienna, 1966 (M. Parkus and L. I. Sedov, editors), Springer Press, Vienna (1968).
A. C. Eringen, Mechanics of Continua, Wiley Inc., New York (1967).
A. C. Eringen and J. D. Ingram, Internatl. J. Engrg. Sci.,3, 197 (1965).
A. E. Green and P. M. Nahgdi, Internatl. J. Engrg. Sci.,3, 231 (1965).
A. E. Green and P. M. Nahgdi, Arch. Rational Mechan. Analysis,24, 243 (1967).
R. M. Bowen, Arch. Rational Mechan. Analysis,24, 370 (1967).
J. D. Ingram and A. C. Eringen, Internatl. J. Engrg. Sci.,5, 289 (1967).
R. M. Bowen and J. C. Wiese, Internatl. J. Engrg. Sci.,7, 689 (1969).
A. E. Green and N. Laws, Arch. Rational Mechan. Analysis,43, 45 (1971).
I. Muller, Arch. Rational Mechan. Analysis,28, 1 (1968).
M. E. Gurtin and A. S. Vargas, Arch. Rational Mechan. Analysis,43, 179 (1971).
M. E. Gurtin, Arch. Rational Mechan. Analysis,43, 198 (1971).
J. L. Bartelt and F. H. Horne, Pure and Appl. Chem.,22, 349 (1970).
J. L. Bartelt, Ph D Thesis, Michigan State Univ. (1968).
P. D. Kelly, Internatl. J. Engrg. Sci.,2, 129 (1964).
I. Samohl, Coll. Czechoslovak Chem. Commun.,34, 2483 (1969).
A. J. M. Spencer, “Theory of invariants,” in: Continuum Physics (A. C. Eringen, editor), Academic Press, New York (1971), Vol. 1: Mathematics.
G. F. Smith, Arch. Rational Median. Analysis,18, 282 (1965).
I. Samohyl, Coll. Czechoslovak Chem. Commun.,37, 1207 (1972).
I. Samohyl, Coll. Czechoslovak Chem. Commun.,37, 1218 (1972).
M. E. Gurtin, Arch. Rational Mechan. Analysis,28, 40 (1968).
S. R. deGroot and P. Mazur, Nonequilibrium Thermodynamics, North Holland, Amsterdam (1962).
D. D. Fitts, Nonequilibrium Thermodynamics, McGraw Hill, New York (1962).
J. Meixner and H. G. Reik, “Thermodynamics of irreversible processes,” Handbuch der Physik (S. Flugge, editor), Springer Press, Berlin (1959), Vol. 3, Chap. 2.
R. Haase, Thermodynamics of Irreversible Processes, Steinkopf Press, Darmstadt (1963).
I. Samohyl, Coll. Czechoslovak Chem. Commun.,37, 911 (1972).
A. V. Lykov, “Hydrodynamics and heat transfer in asymmetric fluids,” l'Aerotechnica Missili e Spario, No. 3 (1972).
A. V. Lykov, “Transport phenomena in a rarefied gas with high flow velocities,” Internatl. Center for Mechanics, Italy (1972).
A. V. Lykov, “Hydrodynamics of a liquid with a vortex structure,” ibid..
A. V. Lykov, “Some peculiarities of hydrodynamics of rheological fluids,” ibid..
Author information
Authors and Affiliations
Additional information
Rational thermodynamics, in the author's view, is part of the linear thermomechanics of continuous media. This new trend in the theory of transfer phenomen is a very progressive one and represents a further development in the thermodynamics of irreversible processes. In featuring this article here, the editors wish to acquaint the readers with some interesting specific results which the author has obtained in his work on the theory of transfer in a binary mixture using the methods of continuum thermomechanics (see A. B. Lykov [32–35], Russian editor's note).
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 25, No. 2, pp. 271–285, August, 1973. February 19, 1973.
The author thanks Academician A. V. Lykov, member of the BSSR Academy of Sciences and Prof. L. S. Kotousov for their interest in this study and for their valuable assistance in preparing the manuscript and the printed text, and also Dr. P. Vonka for his discussion.
Rights and permissions
About this article
Cite this article
Samohýl, I. Rational thermodynamics of a nonreacting binary linear fluid. Journal of Engineering Physics 25, 1001–1012 (1973). https://doi.org/10.1007/BF00829851
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00829851