Dynamic Changes of Phase in a Van Der Waals Fluid.

Abstract

This paper gives sufficient conditions to guarantee the existence of a shock layer solution connecting two different equilibrium states in a van der Waals fluid. In particular, the equilibrium states can belong to two different phases of the fluid. The constitutive laws come from a modified Korteweg theory which is compatible with the Clausius Duhem inequality. The Clausius Duhem inequality in turn gives rise to a Liapunov function. The main mathematical tool is the LaSalle invariance principle. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA141708

Entities

People

  • J. Serrin
  • R. Hagan

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Capillarity
  • Critical Temperature
  • Eigenvalues
  • Energy
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Flow
  • Heat Capacity
  • Heat Energy
  • Inequalities
  • Isotherms
  • Mathematics
  • Phase Transformations
  • Specific Heat
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.