Marangoni Instability Due to Chemical Absorption with an Irreversible Reaction

Abstract

The Marangoni instability due to a chemical absorption is studied theoretically by taking into account the mass transfer of gas, solute and product resulting from an irreversible reaction. It is found that the critical Marangoni number for the inactive product and the corresponding critical wavenumber change in a complicated manner depending on various parameters involved. Furthermore, it is found that the active solute leads also to the Marangoni instability, where roles of the gas are discussed as well. The Marangoni effect due to the product and that due to the solute are coupled so as to reinforce each other. Effects of the surface deformation give rise to another type of instability in the limit of zero wavenumber.