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Description of liquid–gas phase transition in the frame of continuum mechanics

Continuum Mechanics and Thermodynamics volume 26, pages 221–245 (2014)Cite this article

Abstract

A new method of describing the liquid–gas phase transition is presented. It is assumed that the phase transition is characterized by a significant change of the particle density distribution as a result of energy supply at the boiling point that leads to structural changes but not to heating. Structural changes are described by an additional state characteristics of the system—the distribution density of the particles which is presented by an independent balance equation. The mathematical treatment is based on a special form of the internal energy and a source term in the particle balance equation. The presented method allows to model continua which have different specific heat capacities in liquid and in gas state.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Bol’shoy pr. 61, V.O., 199178, St. Petersburg, Russia

    Elena N. Vilchevskaya & Elena A. Ivanova

  2. Department of Theoretical Mechanics, St. Petersburg State Polytechnical University (SPbSPU), Politekhnicheskaya 29, 195251, St. Petersburg, Russia

    Elena N. Vilchevskaya & Elena A. Ivanova

  3. Lehrstuhl für Technische Mechanik, Institut für Mechanik, Fakultät für Maschinenbau, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Holm Altenbach

Authors
  1. Elena N. Vilchevskaya
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  2. Elena A. Ivanova
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  3. Holm Altenbach
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Correspondence to Elena N. Vilchevskaya.

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Communicated by Andreas Öchsner.

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Vilchevskaya, E.N., Ivanova, E.A. & Altenbach, H. Description of liquid–gas phase transition in the frame of continuum mechanics. Continuum Mech. Thermodyn. 26, 221–245 (2014). https://doi.org/10.1007/s00161-013-0298-5

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  • DOI: https://doi.org/10.1007/s00161-013-0298-5

Keywords

  • Liquid–gas phase transition
  • Cluster
  • Chemical potential
  • Source term