Analytical representation of the adiabatic equation for detonation products based on statistical mechanics and intermolecular forces

Author:

Abstract

A new mathematical form is presented for the equation of state of a detonation product fluid along the adiabat describing its expansion from the Chapman-Jouguet state. The basic ansatz is a rational function form for the adiabatic gamma coefficient in terms of the reduced density V cj /V as variable, from which the pressure can be derived analytically, and the internal energy by quadrature. Rational approximants of arbitrary order can be fitted by linear least squares to results from an ideal detonation code involving a fundamental equation of state based on statistical mechanics and intermolecular forces. The approximants can be checked for accuracy, and used in hydrodynamic codes. The method is illustrated by application to results for pentaerythritol tetranitrate, and the new equations are compared with the Jones-Wilkins-Lee equation.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference9 articles.

1. Analytical representation of the excess thermodynamic equation of state for classical fluid mixtures of molecules interacting with a-exponentia1-6 pair potentials up to high densities. J.chem;Byers Brown W.;Phys.,1987

2. Byers Brown W. & Braithwaite M. 1989 Sensitivities of adiabatic and Gruneisen gammas to errors in molecular properties of detonation products. In Proc. Ninth (Int.) on Detonation pp. 271-283. Naval Surface Weapons Center Whiteoak Maryland U.S.A.

3. Byers Brown W. & Horton T. V. 1988 Analytical representation of high density fluid equations of state based on statistical mechanics. In Shock waves in condensed matter 1987 (ed. S. C. Schmidt & N. C. Holmes) pp. 77-80. The Netherlands: Elsevier Science.

4. Chirat R. & Pittion-Rossillon G. 1981 Detonation properties of condensed explosives calculated with an equation of state based on intermolecular potentials. In Proc. Seventh Symp. {Int.) on Detonation pp. 703. Naval Surface Weapons Center Whiteoak Maryland U.S.A.

5. Cooper P. W. 1989 Shock behaviour of explosives about the CJ point. In Proc. Ninth Symp. {Int.) on Detonation pp. 379-385. Naval Surface Weapons Center Whiteoak Maryland U.S.A.

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