標題: SIMULATING BINARY FLUID-SURFACTANT DYNAMICS BY A PHASE FIELD MODEL
作者: Teng, Chun-Hao
Chern, I-Liang
Lai, Ming-Chih
數學建模與科學計算所(含中心)
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
關鍵字: Surfactant;binary fluid;phase field model;Cahn-Hilliard equation;pseudospectral method
公開日期: 1-六月-2012
摘要: 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.
URI: http://dx.doi.org/10.3934/dcdsb.2012.17.1289
http://hdl.handle.net/11536/15524
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2012.17.1289
期刊: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume: 17
Issue: 4
起始頁: 1289
結束頁: 1307
顯示於類別:期刊論文