Propagation of an acoustic wave in a two-phase reactive medium

This study focuses on the effect of mass transfer on the propagation of acoustic waves in a two-phase pure substance at rest. It is shown, assuming a thermal conductivity-controlled process, that the droplet vaporization can be a source of instability in a combustion chamber. Incidentally, this theory gives an estimation of the critical frequency-diameter couples in a straightforward way. Unfortunately, its extension to the case of the aluminum combustion must be taken with caution since the adopted mass transfer model is oversimplified. However, from a numerical viewpoint, these theoretical developments offer a convenient support to define simple test cases for validating non-steady reactive two-phase flow codes.