Simulating binary fluid-surfactant dynamics by a phase field model | Zendy

Chun-Hao Teng | Zendy; ILiang Chern | Zendy; MingChih Lai | Zendy

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Simulating binary fluid-surfactant dynamics by a phase field model

Author(s) -

Chun-Hao Teng,

ILiang Chern,

MingChih Lai

Publication year - 2012

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2012.17.1289

Subject(s) - phase field models , binary number , phase (matter) , pulmonary surfactant , computation , field (mathematics) , fourier transform , statistical physics , planar , mechanics , thermodynamics , physics , computer science , mathematics , mathematical analysis , algorithm , computer graphics (images) , arithmetic , quantum mechanics , pure mathematics

In this paper, the dynamics of a binary fluid-surfactant system described by a phenomenological phase field model is investigated through analytical and numerical computations. We first consider the case of one-dimensional planar interface and prove the existence of the equilibrium solution. Then we derive the analytical equilibrium solution for the order parameter and the surfactant concentration in a particular case. The results show that the present phase field formulation qualitatively mimics the surfactant adsorption on the binary fluid interfaces. We further study the time-dependent solutions of the system by numerical computations based on the pseudospectral Fourier computational framework. The present numerical results are in a good agreement with the previous theoretical study in the way that the surfactant favors the creation of interfaces and also stabilizes the formation of phase regions.

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