Frictioninduced oscillatory behaviour of onedimensional detonations
Abstract
This paper studied the feasibility of the propagation of a steady detonation wave in rough tubes, based on the unsteady quasionedimensional reactive Euler equations with frictional drag. The analysis showed that a competition between the rate of the chemical energy release and the rate of energy dissipation induced by friction drives a detonation in general towards instability. A steady wave solution can exist only when the unsteady downstream flow matches the upstream flow at the sonic locus where this energy rate competition is balanced. This criterion can be satisfied in the presence of low frictional drag. For large frictional drag, the competing effect of the chemical energy release and the momentum loss results in an oscillatory detonation and a steady wave solution does not exist.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 July 1994
 DOI:
 10.1098/rspa.1994.0093
 Bibcode:
 1994RSPSA.446...87Z
 Keywords:

 Detonation Waves;
 Euler Equations Of Motion;
 Friction Drag;
 Nonstabilized Oscillation;
 One Dimensional Flow;
 Pipe Flow;
 Shock Wave Propagation;
 Chemical Energy;
 Energy Dissipation;
 Feasibility Analysis;
 Flow Stability;
 Mathematical Models;
 Momentum Transfer;
 Pipes (Tubes);
 Roughness;
 Fluid Mechanics and Heat Transfer