Equation of State of Explosive Detonation Products

Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


The equation of state (EOS) of gaseous detonation products is investigated using Ross’s modification of hard-sphere variation theory and the improved one-fluid van der Waals mixture model. The condensed phase of carbon is taken as a mixture of graphite, diamond, graphite-like liquid and diamond-like liquid. For a mixed system of detonation products, the free energy minimization principle is used to calculate the equilibrium compositions of detonation products by solving chemical equilibrium equations. The calculated detonation velocity and pressure of explosive are in good agreement with experimental ones. The equilibrium compositions of detonation products of PETN explosive with different densities at the Chapman-Jouquet (CJ) point are computed and the results are close to those of BKW and LJD EOS. The adiabatic expansion paths from the CJ point is obtained and compared with the results of JWL EOS, it is found that the calculated value of gamma is monotonically decreasing using the presented theory in this paper, while double peaks phenomenon appears using JWL EOS.


Equation of state Detonation products Statistical-physical theory Chemical equilibrium 


  1. 1.
    Sun CW, Wei YZ, Zhou ZK (2000) Application of detonation. Defence Industry Press, Bei JingGoogle Scholar
  2. 2.
    Chirat R, Pittion-Rossillon G (1981) A new equation of state for detonation products. J Chem Phys 74(8):4634CrossRefGoogle Scholar
  3. 3.
    Liu HF, Chen DQ, Zhang SZ (1996) Equation of state of detonation products and the possible phase transition for CHBr3. J High Press Phys 10(4):284MathSciNetGoogle Scholar
  4. 4.
    Mader CL (1979) Numerical modeling of detonation. University of California Press, BerkeleyGoogle Scholar
  5. 5.
    Ree FH (1983) Simple mixing rule for mixtures with exp-6 interactions. J Chem Phys 78(1):409CrossRefGoogle Scholar
  6. 6.
    Ree FH (1984) A statistical mechanical theory of chemically reacting multiphase mixtures: application to the detonation properties of PETN. J Chem Phys 81(3):1251CrossRefGoogle Scholar
  7. 7.
    Fried LE, Howard WM (2000) Explicit Gibbs free energy equation of state applied to the carbon phase diagram. Phys Rev B 61(13):8734CrossRefGoogle Scholar
  8. 8.
    Zhao YH, Liu HF, Zhang GM (2007) Equation of state of detonation products based on statistical mechanical theory. Acta Phys Sin 56(8):4791MathSciNetGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2013

Authors and Affiliations

  1. 1.Institute of Applied Physics and Computational MathematicsBeijingChina

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