Admissibility Criteria for Propagating Phase Boundaries in a van der Waals Fluid.

Abstract

This paper gives admissibility criteria for weak solutions to the partial differential equations governing isothermal motion of a van der Waals fluid. The main issue is that an admissibility criterion based on viscosity alone is too restrictive - it rules out all slowly propagating phase boundaries. Instead a criterion based on viscosity and capillarity is proposed. The viscosity-capillarity condition is studied and shown to imply that the state on one side of a phase boundary specifies both the speed of the phase boundary and the state of the other side of the phase boundary (a result which is different from classical gas dynamics).

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA110467

Entities

People

  • M. Slemrod

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Capillarity
  • Cauchy Problem
  • Dynamics
  • Equations
  • Equations Of Motion
  • Equations Of State
  • Fluid Dynamics
  • Fluid Flow
  • Heat Energy
  • Mathematics
  • Mechanical Properties
  • Phase Transformations
  • Thermodynamics
  • Two Dimensional
  • United States
  • Vapor Phases

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
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