Skip to main content
SpringerLink
Log in

Rational thermodynamics of mixtures of fluids

  • Chapter
  • First Online:
Thermodynamics and Constitutive Equations

Part of the book series: Lecture Notes in Physics ((LNP,volume 228))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Müller, I. Thermodynamik: Grundlagen der Materialtheorie Bertelsmann Universitätsverlag Düsseldorf (1973)

    Google Scholar 

  2. Truesdell, C. Sulle Basi della Termomeccanica Acc. Naz. dei Lincei 8 Vol. XXII p. 33 (1957)

    Google Scholar 

  3. Truesdell, C. Rational Thermodynamics McGraw-Hill Book Co., N.Y. (1969)

    Google Scholar 

  4. Smith, G.F. On Isotropic Integrity Bases Archive Rat. Mech. Anal. 18 p. 282 (1965)

    Google Scholar 

  5. Wang, C.C.A New Representation Theorem for Isotropic Functions: Answer to Professor G.F. Smith's Criticism of my Papers on Representations for Isotropic Functions. Part I: Scalar Valued Isotropic Functions Arch. Rational Mech. Anal. 36 p. 166 (1970). Part II: Vector Valued Isotropic Skew-Symmetric Tensor-Valued Isotropic Functions, ibid. p. 198

    Google Scholar 

  6. Müller, I. A New Approach to Thermodynamics of Simple Mixtures Zeitschrift für Naturforschung 28a p. 1801 (1973)

    Google Scholar 

  7. Liu, I-Shih, Method.of Lagrange Multipliers for Exploitation of the Entropy Principle Archive Rat. Mech. Anal. 46 p. 131 (1972)

    Google Scholar 

  8. Prigogine, I., Defay, R. Chemische Thermodynamik Deutscher Verlag für Grundstoffindustrie (1962)

    Google Scholar 

  9. Meixner, J., Reik, H.G. Die Thermodynamik der irreversiblen Prozesse in kontinuierlichen Medien mit inneren Umwandlungen. Handbuch der Physik III/2 p. 417 Springer Berlin, Heidelberg, New York (1959)

    Google Scholar 

  10. de Groot, S.R., Masur, J. Non-Equilibrium Thermodynamics North Holland Publ. Co., Amsterdam (1962)

    Google Scholar 

  11. Truesdell, C. Mechanical Basis of Diffusion J. Chem. Phys. 37 p. 2336 (1962)

    Article  Google Scholar 

  12. Müller, I., Villaggio, P. Conditions of Stability and Wave Speeds for Fluid Mixtures Meccanica 11 p. 191 (1976)

    Article  Google Scholar 

  13. Müller, I. A Thermodynamic Theory of Mixtures of Fluids Archive Rat. Mach. Anal. 28 p. 1 (1968)

    Article  Google Scholar 

  14. Tisza, L. Nature, 141 p. 913 (1938)

    Google Scholar 

  15. Landau, L.D. The Theory of Superfluidity of Helium II J. Phys. (U.S.S.R.) 5 p. 72 (1941)

    Google Scholar 

  16. Dreyer, W. Zur Thermodynamik Von Helium II-Superfluides Helium mit und ohne Wirbellinien als binäre Mischung. Dissertation TU Berlin (1983).

    Google Scholar 

  17. Feynman, R.P. Atomic Theory of the Two Fluid Model of Liquid Helium Phys. Rev. 94 p. 262 (1954).

    Article  Google Scholar 

  18. Cattaneo, C. Sulla Conduzione del Calore Atti del Seminario Matematico e Fisico della Univ. di Modena 3 p. 3 (1948)

    Google Scholar 

  19. Mailer, I. Zur Ausbreitungsgeschwindigkeit von Störungen in kontinuierlichen Medien Aachener Dissertation (1966)

    Google Scholar 

  20. Müller, I. Zum Paradox der Wärmeleitungstheorie Z. f. Physik 198 p. 329 (1967)

    Article  Google Scholar 

  21. Grioli, G. Sulla propagazione di onde termomeccaniche nei continui Atti della Acc. Naz. dei Lincei 67 p. 332 (1979)

    Google Scholar 

  22. Müller, I. On the Frame Dependence of Stress and Heat Flux Arch. Rational Mech. Anal. 45 p. 241 (1972)

    Article  Google Scholar 

  23. Edelen, D.B.G., McLennan, T.A. Material Indifference: A Principle or a Convenience Int. J. Engng. Sci. 11 p 813 (1973)

    Article  Google Scholar 

  24. Söderholm, L.H. The Principle of Material Frame Indifference and Material Equations in Gases Int. J. Engng. Sci. 14 (1976)

    Google Scholar 

  25. Truesdell, C. Correction of two Errors in the Kinetic Theory that have been used to cast unfounded doubt upon the Principle of Material Frame Indifference Meccánica 11 p. 196 (1976)

    Article  Google Scholar 

  26. Wang, C.C. On the Concept of Frame Indifference in Continuous Mechanics and in the Kinetic Theory of Gases Arch. Rational Mech. Anal. 58 381 (1975)

    Article  Google Scholar 

  27. Speziale, C.G. On the Frame Indifference and Iterative Procedures in the Kinetic Theory of Gases Int. J. Engng. Sci. 19 p. 63 (1981)

    Article  Google Scholar 

  28. Chapman, S., Cowling, T.G. The Mathematical Theory of Non-Uniform Gases Cambridge University Press (1961)

    Google Scholar 

  29. Grad, H. On the Kinetic Theory of Rarefied Gases Comm. Pure Appl. Math. 2 p. 331 (1949)

    Google Scholar 

  30. Grad, H. Principles of the kinetic Theory of Gases Handbuch der Physik Bd. XII p. 205 Springer (1958)

    Google Scholar 

  31. Ikenberry, E. & Truesdell, C. On the Pressures and the Flux of Energy in a Gas according to Maxwell's Kinetic Theory I. J. Rational Mech. Anal. 5 p. 1 (1956)

    Google Scholar 

  32. Ruggeri, T. Symmetric Hyperbolic System of Conservative Equations for a Viscous Heat Conductor Fluid (in preparation)

    Google Scholar 

  33. Liu, I-Shih, Müller, I., Extended Thermodynamics of Classical and Degenerate Ideal gases. Arch. Rational Mech. Anal. 83 (1983).

    Google Scholar 

  34. Greco, A., Müller, I., Extended Thermodynamics of Superfluidity. Arch. Rational Mech. Anal. 85 (1984).

    Google Scholar 

  35. Müller, I., Ruggeri, T., Extended Thermodynamics of Relativistic Gases. (in preparation).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. FB 9 - Herkann-Föttinger-Institut, TU Berlin

    Ingo Müller

Authors
  1. Ingo Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Giuseppe Grioli

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this chapter

Cite this chapter

Müller, I. (1985). Rational thermodynamics of mixtures of fluids. In: Grioli, G. (eds) Thermodynamics and Constitutive Equations. Lecture Notes in Physics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017955

Download citation

  • DOI: https://doi.org/10.1007/BFb0017955

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15228-6

  • Online ISBN: 978-3-540-39394-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation