Equation of state and reaction rate for condensed-phase explosives

2005 ◽  
Vol 98 (5) ◽  
pp. 053514 ◽  
Author(s):  
B. L. Wescott ◽  
D. Scott Stewart ◽  
W. C. Davis
2012 ◽  
Vol 710 ◽  
pp. 166-194 ◽  
Author(s):  
J. A. Saenz ◽  
B. D. Taylor ◽  
D. S. Stewart

AbstractWe use the weak-curvature, slow-time asymptotics of detonation shock dynamics (DSD) to calculate an intrinsic relation between the normal acceleration, the normal velocity and the curvature of a lead detonation shock for self-sustained detonation waves in condensed phase explosives. The formulation uses the compressible Euler equations for an explosive that is described by a general equation of state with multiple reaction progress variables. The results extend an earlier asymptotic theory for a polytropic equation of state and a single-step reaction rate model discussed by Kasimov (Theory of instability and nonlinear evolution of self-sustained detonation waves. PhD thesis, University of Illinois Urbana-Champaign, Urbana, Illinois) and by Kasimov & Stewart (Phys. Fluids, vol. 16, 2004, pp. 3566–3578). The asymptotic relation is used to study the dynamics of ignition events in solid explosive PBX-9501 and in porous PETN powders. In the case of porous or powdered explosives, two composition variables are used to represent the extent of exothermic chemical reaction and endothermic compaction. Predictions of the asymptotic formulation are compared against those of alternative DSD calculations and against shock-fitted direct numerical simulations of the reactive Euler equations.


2017 ◽  
Vol 122 (22) ◽  
pp. 225112 ◽  
Author(s):  
S. D. Wilkinson ◽  
M. Braithwaite ◽  
N. Nikiforakis ◽  
L. Michael

2019 ◽  
Vol 45 (3) ◽  
pp. 374-386 ◽  
Author(s):  
Kibaek Lee ◽  
Alberto M. Hernández ◽  
D. Scott Stewart

1977 ◽  
Vol 99 (1) ◽  
pp. 59-64 ◽  
Author(s):  
R. W. Rohde ◽  
J. C. Swearengen

The applicability of two familiar analytic descriptions of micromechanical deformation as equations of state for polycrystalline iron is discussed. These equations are the power law and the relationship based on reaction rate theory. It is shown that the reaction rate description fails to describe adequately individual stress relaxation events without invoking undue complexity from use of adjustable parameters. Moreover, even in that case, this formulation lacks the predictive capability required in an equation of state. Conversely, the power law is found not only to describe stress relaxation data properly but also to provide the capability of predicting stress relaxation following initial deformation by different loading paths. It thus appears to represent an equation of state for the material.


Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Patrick Kneschke

Abstract In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level result has been known for some time, surprisingly quantum effects have not yet been incorporated into the equation of state.  We find that the corrections to the quantities we compute, namely the isospin density, pressure, and equation of state, increase with increasing isospin chemical potential. We compare our results to recent lattice simulations of 2 + 1 flavor QCD with physical quark masses. The agreement with the lattice results is generally good and improves somewhat as we go from leading order to next-to-leading order in $$\chi $$χPT.


2013 ◽  
Vol 252 ◽  
pp. 163-194 ◽  
Author(s):  
Stefan Schoch ◽  
Kevin Nordin-Bates ◽  
Nikolaos Nikiforakis

2008 ◽  
Vol 47 (31) ◽  
pp. 5767 ◽  
Author(s):  
C. M. Wynn ◽  
S. Palmacci ◽  
R. R. Kunz ◽  
K. Clow ◽  
M. Rothschild

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