Thermocapillary convection in a gas-free combustion wave

The effect of thermocapillary convection on heat transfer in a gas-free combustion wave with a melting reagent is studied analytically and numerically. Convection rate estimates are given. Equations for a burning rate in conductive and convective heat transfer are obtained. Numerical calculations confirm the conclusions of an analytical analysis. Calculated dependences of the burning rate on porosity and phase transition parameters are obtained. The development of instability of a combustion wave propagation in self-oscillating regimes, caused by the action of thermocapically convection, is revealed.