 
Summary: Under consideration for publication in J. Fluid Mech. 1
Condensedphase detonation stability for a
Tait equation of state
By M A R K S H O R T1, J O H N B. B D Z I L2
AND I A N A I. A N G U E L O V A3
1
Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801
2
Los Alamos National Laboratory, Los Alamos, NM 87545,
3
Department of Mathematics, University of Illinois, Urbana, IL 61801
(Received ?? and in revised form ??)
The linear stability analysis of a planar detonation wave is reformulated for an arbitrary
caloric equation of state in an attempt to better represent the stability properties of
detonations in condensed phase explosives. In this paper, we focus our attention on a
Tait equation of state which allows us to prescribe a finite detonation Mach number, and
simultaneously allows for a detonation shock pressure that is substantially larger than the
ambient pressure. We show that the effect of increasing the ambient sound speed in the
material, for a given detonation speed, has a stabilizing effect on the detonation. We also
show that the slow reaction stage that is present in detonations in explosives like liquid
