The Operational Equations of State, 3: Recovery of the EOS for Hydrocode From the Measured Heat Capacity, Isentrope, and Hugoniot Adiabat

Abstract

We present several novel explicit formulas for recovery of the complete EOS for hydrocode from experimental data. It is assumed that the substance in question possesses only two thermodynamic degrees of freedom V the specific volume V and the specific internal energy E . It is also assumed that the measurements of the heat capacity Cv = C(V,E) at constant volume, of the isentrope Es = E(circle multiply)s (V), passing through the state (V circle multiply, E circle multiply), and of the Hugoniot adiabat EH = E**H (V) with the initial state (V*, E*), are presented in analytical form. No special explicit assumptions are made regarding those functions except their reasonable smoothness (which, however, excludes the possibility of phase transformations).

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2012
Accession Number
ADA568935

Entities

People

  • Michael A. Michael A. Grinfeld

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Differential Equations
  • Energy
  • Equations
  • Equations Of State
  • Experimental Data
  • Heat Capacity
  • Heat Energy
  • Hydrocodes
  • Isentrope
  • Measurement
  • Mechanics
  • Military Research
  • Phase Transformations
  • Physics
  • Recovery
  • Specific Heat
  • Specific Volume

Readers

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