skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Evaluation of thermodynamic closure models for partially reacted two-phase mixture of condensed phase explosives

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/5.0085208· OSTI ID:1878064

One of the key fundamental issues that is crucial in the continuum modeling of reactive flow phenomena is the thermodynamically consistent description of reaction mixture properties. To define the mixture properties, thermodynamic closure rules that relate the properties of the individual reaction components to the mixture properties are required. In the context of reactive two-phase modeling approaches, various strategies to define the thermodynamic closures have been adopted such as pressure temperature (PT) equilibrium between the individual reaction components, pressure (specific) volume (PV) equilibrium, etc. The choice of closure rules determines the relative distribution of specific volume and energy across the reaction components that comprise the mixture. Therefore, depending on the choice of the closure, the mixture thermodynamic behavior can vary. The present work examines the effect of different closure approaches on the thermodynamic properties of the reaction mixture. The analysis is performed for a condensed phase HMX (octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine) based plastic bonded explosive (PBX) 9501 explosive using four different thermodynamic closures, viz., PT equilibrium, PV equilibrium, volume temperature (VT) equilibrium, and pressure (P) equilibrium with reactants on an isentrope. Furthermore, the relative variations in the thermodynamic properties of the mixture are analyzed and compared under both compression and expansion loading regimes. It is shown that out of the four closure models, only PT equilibrium and P equilibrium closures lead to a thermodynamically accurate description of the mixture under both compression and expansion.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001; 20190658PRD4
OSTI ID:
1878064
Alternate ID(s):
OSTI ID: 1867526
Report Number(s):
LA-UR-21-31716; TRN: US2307462
Journal Information:
Journal of Applied Physics, Vol. 131, Issue 18; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (12)

Comparison of constitutive models for plastic-bonded explosives journal December 2007
Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues journal February 1999
Phenomenological model of shock initiation in heterogeneous explosives journal January 1980
Diameter Effect and Failure Diameter of a TATB-Based Explosive journal December 1984
Some comments on thermodynamic consistency for equilibrium mixture equations of state journal July 2019
Equation of state and reaction rate for condensed-phase explosives journal September 2005
Theoretical study of the influence of the equation of state mixture properties on the velocitycurvature relationship for heterogeneous solid explosives
  • Matignon, Christophe; Desbiens, Nicolas; Sorin, Remy
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686283
conference January 2012
The reactants equation of state for the tri-amino-tri-nitro-benzene (TATB) based explosive PBX 9502 journal July 2017
AWSD calibration for the HMX based explosive PBX 9501
  • Aslam, Tariq D.; Price, Matthew A.; Ticknor, Christopher
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000891
conference January 2020
Modeling detonation in liquid explosives: The effect of the inter-component transfer hypothesis on chemical lengths and critical diameters journal January 2012
Numerical modelling of steady detonations with the CREST reactive burn model journal April 2019
Plate impact experiments on the TATB based explosive PBX 9502 at pressures near the Chapman-Jouguet state journal May 2014