Operational Equations of State. 2. The Generalized Courant-Friedrichs Equation of State for Condensed Matter

Abstract

The equation of state (EOS) with separable internal energy played a big role in the analysis of dynamics of condensed matter and development of the mathematical basis of the shock-wave physics (Courant, R.; Friedrichs, K. O. Supersonic Flow and Shock Waves; Interscience: New York, 1948). For such models, the internal energy density Epsilon , as a function of the specific volume V and entropy density S , can be presented as Epsilon(V , S) = Delta(V) + X(S), where functions Delta(V) and X(S) should be determined from experiment. We call this model the Courant-Friedrichs (CF) EOS. We suggest a generalized Courant-Friedrichs (gCF) EOS based on three functional degrees of freedom. It includes the CF EOS as a special case. The additional degree of freedom allows us to consider additional physical phenomena. We discuss the interrelations between the newly introduced gCF EOS and several classical EOS, including the incomplete Mie-Gr eneisen EOS and its complete extensions. We also discuss how the three functions can be recovered from experimental data.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2011
Accession Number
ADA553562

Entities

People

  • M. A. Grinfeld

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Differential Equations
  • Energy
  • Equations
  • Equations Of State
  • Experimental Data
  • Heat Capacity
  • Heat Energy
  • Mathematical Analysis
  • Military Research
  • New York
  • Physics
  • Shock
  • Shock Waves
  • Specific Volume
  • Subatomic Particles
  • United Kingdom
  • Universities

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Theoretical Analysis.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight