Modelling Phase Transition Phenomena in Fluids

Abstract

Phase transitions occur in a variety of physical phenomena ranging from condensation of gases to solidi cation of liquids. It is of paramount importance to provide an adequate modelling of these phenomena in a thermodynamically consistent way. This paper addresses an introduction into the mathematical modelling of phase transitions in fluids from the perspective of consistently employing a modi ed Legendre transform of entropy considered as a given function of internal energy and volume. An explicit conservative scheme for incompressible phase transition and an implicit non-conservative scheme based on the fictitious-capacity and lubrication-theory approximations are implemented in MATLABR . Illustrative numerical simulations are conducted, and some results are veri ed against an exact benchmark solution.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2015
Accession Number
ADA623205

Entities

People

  • Leonid K. Antanovskii

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Continuum Mechanics
  • Critical Temperature
  • Equations Of State
  • Fluid Dynamics
  • Fluid Flow
  • Heat Energy
  • Heat Transfer
  • Latent Heat
  • Phase Diagrams
  • Phase Transformations
  • Specific Heat
  • Thermal Conductivity
  • Thermodynamics
  • Transition Temperature
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Materials Science and Engineering.