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Tytuł artykułu

Non-local Korteweg stresses from kinetic theory point of view

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of the paper is to elaborate a kinetic theory having the non-local Korteweg equations for non-isothermal liquid-vapour systems as the hydrodynamic limit. This is the topic of the second part of the paper. The first part of our paper is devoted to presentation of the Korteweg equations. We write the non-local Korteweg equations in a conservative form and we discuss the relations between them and the local ones.
Słowa kluczowe
Rocznik
Strony
23--58
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Institute of Fundamental Technological Research PAN, Świętokrzyska 21, 00-049 Warsaw, Poland
Bibliografia
  • 1. J. D. VAN DER WAALS, On the continuity of the gaseous and liquid states, Edited with an introductory essay by J. S. Rowlinson, Studies in Statistical Mechanics, vol. XIV, North-Holland, Amsterdam, 1988.
  • 2. D. J. KORTEWEG, Sur la forme que prennent les equations du mouvement des fluides si Von tient compte des forces capillares causes par les variations de densite, Arch. Neer-landaises des Sci. Exact et Natur. Ser. II, 6, 1-24, 1901.
  • 3. J. E. DUNN, J. SERRIN, On the thermomechanics of interstitial working, Arch. Rational Mech. And Anal., 88, 95 133, 1985.
  • 4. M. M. MEHRABADI, S.C. COWIN, M. MASSOUD, Conservation laws and constitutive relations for density-gradient-dependent viscous fluids, Continuum Mech. Thermodynamic, 17, 183-200, 2005.
  • 5. H. GouiN, Equations du mouvement des fluides parfaits de grade n expnmee sous une forme thermodynamique, C. R. Acad. Sci. Paris, t. 305, Serie II, 833 838, 1987.
  • 6. P. CASAL, H. GOUIN, Equations du mouvement des fluides thermocapilaires, C. R. Acad. Sci. Paris, t. 306, Serie II, 99 104, 1988.
  • 7. P. CASAL, H. GOUIN, Sur les interfaces liquide-vapour non isotherrnes, J. de Mechanique Theorique et Appliquee, 7, 6, 689 718, 1988.
  • 8. CH. ROHDE, On local and non-local Navier-Stokes-Korteweg systems for liquid-vapour phase transitions, ZAMM, 85, 12, 839-857, 2005.
  • 9. M. GRMELA, Kinetic approach to phase transitions, Journal of Statistical Physics, 3, 3, 347-364, 1971.
  • 10. M. GRMELA, On approach to equilibrium in kinetic theory, Journal of Mathematical Physics, 15, 1, 35-40,1974.
  • 11. J. KARKHECK, G. STELL, Maximization of entropy, kinetic equations, and irreversible thermodynamics, Physical Review A, 25, 6, 3302-3327, 1988.
  • 12. K. PIECHÓR, Kinetic theory and, thermocapillarity equations, Arch. Mech., 46, 6, 937-951, 1994.
  • 13. H. T. DAVIS, S. A. RICE, J. V. SENGERS, On the kinetic theory of dense fluids. IX. The fluid of rigid spheres with a square-well attraction, Journal of Chemical Physics, 35, 6, 2210-2233, 1961.
  • 14. J. KARKHECK, G. STELL, JIASAI Xu, Transport theory for the Lennard-Jones dense fluid, Journal of Chemical Physics, 89, 9, 5829-5833, 1988.
  • 15. I. P. OMELYAN, M. V. TOKARCHUK, Kinetic equation for liquids with multistep potential of interaction. H-theorem. Physica A, 234, 89-107, 1996.
  • 16. M. V. TOKARCHUK, I. P. OMELYAN, A. E. KOBRYN, Kinetic equations for liquids with multistep potential of interaction: Calculation of transport coefficients, Physical Review E., 62, 6, 8021-8036, 2000.
  • 17. M.N. KOGAN, Rarefied gas dynamics, Plenum, New York 1969.
  • 18. H. VAN BEIJEREN, J. KARKHECK, J. V. SENGERS, Nonequilibrium temperature and bulk viscosity for dense fluid of square-well molecules, Physical Review A, 37, 6, 2247-2250, 1988.
  • 19. H. VAN BEIJEREN, Kinetic theory of dense gases and liquids, [in:] Fundamental Problems in Statistical Mechanics VII, H. VAN BEIJEREN [Ed.], 357-380, 1990.
  • 20. YA SONG WEI, R. J. SADUS, Equations of state for the calculation of fluid-phase equilibria, American Institute of Chemical Engineers Journal, 46, 1, 169-196, 2000.
  • 21. O. REDLICH, J. N. S. KWONG, On the thermodynamics of solutions. V: An equation of state. Fugacities of gaseous solutions. Chemical Review, 44, 1, 233-244, 1949.
  • 22. N. F. CARNAHAM, K. E. STARLING, Equation of state for nonattracting rigid spheres, Journal of Chemical Physics, 51, 2, 635-636, 1969.
  • 23. N. F. CARNAHAM, K. E. STARLING, Intermolecular repulsions and the equation of state for fluids, American Institute of Chemical Engineers Journal, 18, 6, 1184-1189, 1972.
  • 24. M. CHRISTOFORAKOS, E. U. FRANCK, An equation of state for binary fluid mixtures to high temperatures and high pressures, Ber. Bunsenges. Phys. Chem., 90, 780-789, 1986
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0012-0023
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