The mathematical model of finite amplitude wave propagation in aerosols with chemical reaction is studied in this paper. The equations describing the evolution of arbitrary wave disturbances of finite amplitude velocity (density, or temperature) perturbations have been developed, with correction for heat transfer and momentum exchange between the phases under significantly unsteady conditions and also with possibility to initiate the chemical reaction. Single equation describing the evolution of the finite amplitude wave in chemically reactive media is obtained. The resulting equation incorporates the amplitude of the perturbation and also the energy of chemical reaction source. Similar equations could be obtained for any aerosol properties. These formulae are valid for description of the evolution of waves at any ratio between the time of the internal process and the characteristic period of perturbation. In the case chemically reactive medium, amplitude of the wave will increase during its propagation through the media. It is shown that the rate of the wave intensification depends on the heat releasing from the chemical reaction between the aerosol phases. Depending on the rate of the heat emission from chemical reaction, the evolution of the perturbed wave profile can lead to formation of the wave similar to the shock wave.
Proceedings of the 2nd International Conference on Chemical and Bioprocess Engineering and 19th Symposium of Malaysian Chemical Engineers, 8-10 December 2005, Kotu Kinabalu, Sabah, Malaysia,