Continuum Mechanics and Thermodynamics

, Volume 26, Issue 2, pp 221–245 | Cite as

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

  • Elena N. VilchevskayaEmail author
  • Elena A. Ivanova
  • Holm Altenbach
Original Article


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.


Liquid–gas phase transition Cluster Chemical potential Source term 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Elena N. Vilchevskaya
    • 1
    • 2
    Email author
  • Elena A. Ivanova
    • 1
    • 2
  • Holm Altenbach
    • 3
  1. 1.Institute for Problems in Mechanical Engineering of the Russian Academy of SciencesSt. PetersburgRussia
  2. 2.Department of Theoretical MechanicsSt. Petersburg State Polytechnical University (SPbSPU)St. PetersburgRussia
  3. 3.Lehrstuhl für Technische Mechanik, Institut für Mechanik, Fakultät für MaschinenbauOtto-von-Guericke-Universität MagdeburgMagdeburgGermany

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