Faraday instability of binary miscible/immiscible fluids with phase field approach
Michael Bestehorn, Deewakar Sharma, Rodica Borcia, Sakir Amiroudine
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.
Topics & Concepts
BuoyancyInstabilityFaraday cageBinary numberPhase (matter)ThermodynamicsCahn–Hilliard equationField (mathematics)Work (physics)Equation of stateMechanicsPhysicsMaterials scienceMathematicsMagnetic fieldPartial differential equationArithmeticQuantum mechanicsPure mathematicsSolidification and crystal growth phenomenaFluid Dynamics and Thin FilmsNonlinear Dynamics and Pattern Formation