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The paper presents the method of derivation of constitutive equations based on the Classical and Extended Irreversible Thermodynamics. The method is explained for a single phase medium and then is applied to a two-phase one-component of a liquid and its vapour. The two-phase system is described by the simplest homogeneous model (HTPM). In this model it is assumed that the velocities of both phases are equal, the two phases coexist at any point of the system, and that the transport of the phases due to diffusion is negligibly small. It is shown that the Extended Irreversible Thermodynamics applied to the two-phase system provides an interesting equation for the evolution of the non-equilibrium dryness fraction x, comprising its second partial derivaties with respect to time and space. This equation is derived for HTPM for the first time.
Czasopismo
Rocznik
Tom
Strony
71--88
Opis fizyczny
Bibliogr. 14 poz.,
Twórcy
autor
- Polish Academy of Sciences, Institute of Fluid Flow Machinery, ul. Fiszera 14, 80-952 Gdańsk
Bibliografia
- [1] Jou D., CASAS-VAZQUEZ J. AND LEBON, G.: Extended Irreversible Thermodyna mics, Second Revised and Extended Edition, Springer, 1996.
- [2] BILICKI, Z.: Properties of a disperse non-equilibrium model in vapour-liquid flows, IFFM PAS Scientific Notes (Zeszyty Naukowe IMP PAN), 342/1217/91, 1991, (in Polish).
- [3] ONSAGER L.: Phys. Rev. 37, 405 and 38, 1931, 2265.
- [4] PRIGOGINE I.: Introduction to Thermodynamics of Irreversible Processes. New York: Interscience, 1961.
- [5] MANDELSZTAM L. I., LEONTOWICZ M. A.: A theory of sound absorption in liquids, J. Exp. Theor. Phys. 7(1937), 438-449.
- [6] KESTIN J.: Internal variables in thermodynamics and continuum mechanics, Lecture notes, International Centre for Mechanical Sciences, Udine, Italy, July 11-15, 1988.
- [7] TRUESDELL C. & NOLL W.: Handbuch der Physik III/1, ed. S Flugge, Berlin: Springer, 1965, 44.
- [8] MÜLLER I.: Arch. Rat. Mech. Anal., 26(1967), 118.
- [9] LEBON G.: Bull. R. Soc. Belg. Clas. Sci. 64(1978), 456.
- [10] MÜLLER I.: in Advances in Thermodynamics, Volume 7, eds. S. Sieniutycz & P. Salamon. Taylor & Francis, New York, 1992.
- [11] ZAREMBA S.: Bull. Int. Acad. Sci. Cracovie, 1903, 614-621.
- [12] CHAPMAN S. & COWLING T. G.: The Mathematical Theory of Nonuniform Gases, Cambridge: Cambridge University Press, 3rd edition.
- [13] MÜLLER I.: Thermodynamics, Pittman, London, 1985.
- [14] BANASZKIEWICZ M., BADUR J.: Gradient theory for the description of interfacial phenomena in flashing water flows, TASK Quarterly 4(2000), No 2, 213-290.
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Bibliografia
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bwmeta1.element.baztech-article-BGPK-0055-1318