Journal of Engineering Physics and Thermophysics

, Volume 80, Issue 6, pp 1247–1255 | Cite as

Application of density-functional theory to calculation of flows of three-phase mixtures with phase transitions

Article

Abstract

The problem of mathematical modeling of flows of three-phase three-component mixtures with phase transitions has been investigated using density-functional theory. The analytical and numerical results demonstrating the efficient application of this approach to description of two-phase flows were obtained earlier. In the present work, methods extending the density-functional technique to the case of three-phase mixtures have been proposed. Numerical solutions for flows of three-phase mixtures, including those with phase transitions, have been given.

References

  1. 1.
    O. Yu. Dinariev, A hydrodynamic description of a multicomponent multiphase mixture in narrow pores and thin layers, Prikl. Mat. Mekh., 59, Issue 5, 776–783 (1995).MathSciNetGoogle Scholar
  2. 2.
    O. Yu. Dinariev, Temperature effects in the description of a multicomponent mixture by the density-functional method, Prikl. Mat. Mekh., 62, Issue 3, 433–442 (1998).MathSciNetGoogle Scholar
  3. 3.
    O. Yu. Dinariev, Description of capillary-gravitational waves in the density-functional theory, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, Issue 5, 145–151 (1999).Google Scholar
  4. 4.
    O. Yu. Dinariev, Description of a gas-condensate mixture flow in an axisymmetric capillary by the densityfunctional method, Prikl. Mekh. Tekh. Fiz., 44, Issue 1, 101–107 (2003).MATHMathSciNetGoogle Scholar
  5. 5.
    A. Yu. Dem’yanov and O. Yu. Dinariev, Modeling of multicomponent multiphase mixture flows by the density-functional method, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, Issue 6, 101–114 (2004).Google Scholar
  6. 6.
    A. Yu. Dem’yanov and O. Yu. Dinariev, Application of the density-functional method to numerical modeling of multicomponent multiphase mixture flows, Prikl. Mekh. Tekh. Fiz., 45, Issue 5, 68–78 (2004).MATHGoogle Scholar
  7. 7.
    O. Yu. Dinariev and N. V. Evseev, Description of the flows of two-phase mixtures with phase transitions in capillaries by the density-functional method, Inzh.-Fiz. Zh., 78, No. 3, 61–67 (2005).Google Scholar
  8. 8.
    L. I. Sedov, Mechanics of a Continuous Medium [in Russian], Vol. 1, Nauka, Moscow (1973).Google Scholar
  9. 9.
    S. Patankar, Numerical Methods for Solving Problems of Heat Transfer and Fluid Dynamics [Russian translation], Énergoatomizdat, Moscow (1984).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.O. Yu. Schmidt Joint Institute of the Physics of the EarthRussian Academy of SciencesMoscowRussia

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