This article is cited in 6 papers

Instability of a combustion model with surface vaporization and overheat in the condensed phase

L. K. Gusachenko^a, V. E. Zarko^a, A. D. Rychkov<sup>b

a</sup> Institute of Chemical Kinetics and Combustion, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
^b Institute of Computational Technologies, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk

Abstract: Using numerical modeling, we have revealed the instability of a steady-state combustion regime which was previously obtained using analytical methods in the substance-combustion model with surface vaporization and with exothermic reactions in the condensed phase which are intense enough to form a maximum of temperature underneath the surface. The instability has been studied analytically using the method of small perturbations to eliminate the version of its nonphysical (numerical) character. Steady-state combustion regimes with maxima on the condensed-phase temperature profile are shown to be actually unsteady. It is suggested that convection in a liquid-subsurface layer owing to bubble motion caused by the Marangoni effect should be taken into account to describe correctly the experimentally observed steady-state regimes with a leading role of the condensed phase.

UDC: 536.46

Received: 05.02.1996
Accepted: 28.08.1996

 English version: Combustion, Explosion and Shock Waves, 1997, 33:1, 34–40