Faraday instability of binary miscible/immiscible fluids with phase field approach

Abstract

The objective of the present work is to model the continuous passage of a binary fluid mixture from its immiscible state into a miscible one. This is achieved with a phase field model using an extended Cahn-Hilliard equation which permits us to move from the immiscible to the miscible states. The phase field is coupled to the Navier-Stokes equations via Korteweg stress and buoyancy. A thorough analysis of the Faraday instability is then demonstrated by means of a Floquet analysis and by direct numerical simulations.