This article is cited in 1 paper

Numerical study of heat waves in the oxidation of a magnesium wire

Yu. A. Gosteev, A. V. Fedorov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk

Abstract: A mathematical model of ignition of magnesium samples is proposed based on the concept of the existence of thermal deceleration of a chemical reaction responsible for ignition. The model gives realistic values of temperatures after sample ignition and is in satisfactory agreement with experimental data on the dependence of the radius of a small particle on the limiting temperature of the ambient medium. It is shown that heat waves can be excited by heterogeneous oxidation of Mg wire located in the external flow. The range of parameters in which self-excited wave regimes are observed fits experimental data on oxidation of metal wires qualitatively and in order of magnitude. The problem of initiation of an ignition wave by the initial distributions of the sample temperature is solved numerically, and the stability of heat waves to small and finite perturbations is shown.

UDC: 534.222.2; 662.612.32

Received: 22.01.1998

 English version: Combustion, Explosion and Shock Waves, 1998, 34:6, 627–635