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Stability of idealized condensed phase detonations

Summary: Stability of idealized condensed phase
B y Mark Short1, Iana I. Anguelova2, Tariq D. Aslam3, John B.
Bdzil3, Andrew K. Henrick4 & Gary J. Sharpe3
1 Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801
2 Department of Mathematics, University of Illinois, Urbana, IL 61801,
3 Los Alamos National Laboratory, Los Alamos, NM 87545,
4 Department of Aerospace and Mechanical Engineering, University of Notre
Dame, Notre Dame, IN 46556.
The linear and nonlinear stability of Chapman-Jouguet (CJ) and overdriven
detonations of Zeldovich-von Neumann-D¨oring (ZND) type are examined in the
context of the idealized condensed phase (liquid or solid) detonation model. This
model includes a two-component mixture (fuel and product), with a one-step irre-
versible reaction possessing a rate that is pressure-sensitive (pn) and has a variable
reaction order (). It also assumes a constant- caloric equation of state for an
ideal fluid, in which the adiabatic exponent = 3, and invokes the strong shock
limit. A linear stability analysis of the steady, planar, idealized condensed-phase
ZND detonation wave is conducted using a normal-mode approach. An asymp-
totic analysis of the perturbation variable structure at the end of the reaction
zone is conducted, and boundedness (or closure) conditions derived, whose precise


Source: Anguelova, Iana - Department of Mathematics, SUNY at Stony Brook


Collections: Mathematics