Nonlinear Kelvin–Helmholtz instability of fluid layers with mass and heat transfer

Abstract

The nonlinear Kelvin–Helmholtz stability of the interface between the vapour and liquid phases of a fluid is studied when the phases are confined between two parallel lines, and when there is mass and heat transfer across the interface. The method of multiple time expansion is used for the investigation. The evolution of amplitude is shown to be governed by a nonlinear first-order differential equation. The stability criterion is discussed, and the region of stability is displayed graphically.