Using Cahn-Hilliard mobility to simulate coalescence dynamics

Authors:
Pablo M. Dupuy;Maria Fernandino;Hugo A. Jakobsen;Hallvard F. Svendsen
Affiliations:
Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway;Department of Chemical Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In droplet-droplet collision processes, such as bouncing and coalescence, the following stages can be identified: droplet approach, film drainage, film rupture and the hydrodynamics of coalescence driven by capillary forces. The film rupture process represents a remaining challenge for numerical models intended to simulate the outcome of collisions. It has been proposed that the lattice Boltzmann framework has a mesoscale nature that is suitable for modeling of film rupture. The present work examines diffuse coalescence based on the Cahn-Hilliard free energy for non-uniform systems. No empirical coalescence criterion is needed as the diffuse mechanism is based on a thermodynamic description with its own time characteristics.