Sensitivity of selfsimilar ZND waves in condensed media
Abstract
A class of onedimensional, timedependent, selfsimilar motions of a reacting fluid where the chemical reaction is initiatied by a strong shock is studied. The chemical source term is assumed to be a simple power law, which can be characteristic of the combustion of condensed materials. The calculations are made in a Lagrangian coordinate system with time measured from the arrival of the shock. The sensitivity of the system with respect to a modeling number k, which is the ratio of chemical to hydrodynamic energy, is examined. For values of k beyond a critical value, the reactive flow is characterized by a singular line beyond which the solution cannot be continued. For these values of k, the selfsimilar solution is pathological in that the singular line is reached before the reaction ends. For large k, a perturbation solution is obtained.
 Publication:

IMA Journal of Applied Mathematics
 Pub Date:
 1989
 Bibcode:
 1989JApMa..43..167L
 Keywords:

 Chemical Reactions;
 Combustible Flow;
 Condensed Matter Physics;
 Reaction Kinetics;
 Shock Waves;
 Computational Fluid Dynamics;
 Gas Dynamics;
 Lagrange Coordinates;
 Time Dependence;
 Fluid Mechanics and Heat Transfer