Thermodynamic States in Explosion Fields

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We investigate the thermodynamic states occurring in explosion fields from condensed explosive charges. These states are often modeled with a Jones-Wilkins-Lee (JWL) function. However, the JWL function is not a Fundamental Equation of Thermodynamics, and therefore cannot give a complete specification of such states. We use the Cheetah code of Fried to study the loci of states of the expanded detonation products gases from C-4 charges, and their combustion products air. In the Le Chatelier Plane of specific-internal-energy versus temperature, these loci are fit with a Quadratic Model function u(T), which has been shown to be valid for T < ... continued below

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Kuhl, A L March 12, 2010.

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We investigate the thermodynamic states occurring in explosion fields from condensed explosive charges. These states are often modeled with a Jones-Wilkins-Lee (JWL) function. However, the JWL function is not a Fundamental Equation of Thermodynamics, and therefore cannot give a complete specification of such states. We use the Cheetah code of Fried to study the loci of states of the expanded detonation products gases from C-4 charges, and their combustion products air. In the Le Chatelier Plane of specific-internal-energy versus temperature, these loci are fit with a Quadratic Model function u(T), which has been shown to be valid for T < 3,000 K and p < 1k-bar. This model is used to derive a Fundamental Equation u(v,s) for C-4. Given u(v,s), one can use Maxwell's Relations to derive all other thermodynamic functions, such as temperature: T(v,s), pressure: p(v,s), enthalpy: h(v,s), Gibbs free energy: g(v,s) and Helmholz free energy: f(v,s); these loci are displayed in figures for C-4. Such complete equations of state are needed for numerical simulations of blast waves from explosive charges, and their reflections from surfaces.

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PDF-file: 10 pages; size: 3.1 Mbytes

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  • Presented at: 14th International Detonation Symposium, Coeur d' Alene, OH, United States, Apr 11 - Apr 16, 2010

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  • Report No.: LLNL-CONF-425882
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 978902
  • Archival Resource Key: ark:/67531/metadc932394

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  • March 12, 2010

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 8, 2016, 11:29 p.m.

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Kuhl, A L. Thermodynamic States in Explosion Fields, article, March 12, 2010; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc932394/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.