 
Summary: Stability of idealized condensed phase
detonations
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 ChapmanJouguet (CJ) and overdriven
detonations of Zeldovichvon NeumannD¨oring (ZND) type are examined in the
context of the idealized condensed phase (liquid or solid) detonation model. This
model includes a twocomponent mixture (fuel and product), with a onestep irre
versible reaction possessing a rate that is pressuresensitive (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 condensedphase
ZND detonation wave is conducted using a normalmode 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
