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Modeling phase inversion using Cahn-Hilliard equations - Influence of the mobility on the pattern formation dynamics

H. Manzanarez 1 J.P. Mericq 1 P. Guenoun 2 J. Chikina 2 D Bouyer 1
2 LIONS - Laboratoire Interdisciplinaire sur l'Organisation Nanométrique et Supramoléculaire
NIMBE UMR 3685 - Nanosciences et Innovation pour les Matériaux, la Biomédecine et l'Energie (ex SIS2M)
Abstract : This paper presents a phase-field simulation of phase separation for a polymer/solvent system and aims at investigating in a systematic way the influence of the mobility model on the simulation results. In 2D geometry, the Flory-Huggins theory was used to describe the thermodynamics of the PMMA/cyclohexanol system and four mobility models were tested: a constant model, a slow model, a fast model and a mobility model based on the free-volume theory of Vrentas. The simulated patterns were analyzed by Fourier transform and using Minkowski descriptors. Growth laws deduced from a Fourier Transform of the patterns exhibited that the power laws were ranged between 1/5 and 1/3 depending on the quenching conditions ( and initial composition) and the mobility model. Using the Vrentas mobility model, growth laws of , and were found for initial compositions in the range , and , respectively, whereas due to faster phase inversion dynamics, a growth law close to was simulated for the constant mobility model whatever the quenching conditions ( and initial composition), thus demonstrating the importance to choose an appropriate mobility model for simulating the phase separation of polymer/solvent system.
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Submitted on : Thursday, September 21, 2017 - 9:49:12 AM
Last modification on : Wednesday, October 27, 2021 - 6:36:00 AM




H. Manzanarez, J.P. Mericq, P. Guenoun, J. Chikina, D Bouyer. Modeling phase inversion using Cahn-Hilliard equations - Influence of the mobility on the pattern formation dynamics. Chemical Engineering Science, Elsevier, 2017, 173, pp.411 - 427. ⟨10.1016/j.ces.2017.08.009⟩. ⟨cea-01591206⟩



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