Nonlinear Spreading Dynamics of a Localized Soluble Surfactant on a Thin Liquid Film(Condensed Matter : Structure, Mechanical and Thermal Properties)
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概要
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This paper focuses on the study of the spreading behavior of soluble surfactant in a thin liquid film system. For the convenience of numerical calculation, the system coordinate of the evolution equation is transformed. The generalized Frumkin model is used to simulate the adsorption/desorption process of soluble surfactant. Nonlinear coupling evolution equations are derived using the long-wave approximation and the cross-sectional averaging method. The spreading rate of a liquid film predicted by the generalized Frumkin model is faster than predicted by the Langmuir model. When the prediction using the generalized Frumkin model is performed at a smaller β (relative surface concentration), the effect of solubility of surfactant will be enhanced. Consequently, a small β will lead to the acceleration of spreading behavior; however, contrary results will come out while the value of β exceeds 2.0. The dimensionless bulk diffusion constant D_1 (the molecular interaction parameter, K and the activation energy of desorption, ν_d) will enhance (weaken) the desorption of surfactant and decelerate (accelerate) the spreading rate of thin liquid film.
- 2002-11-15
著者
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HWANG Chi-Chuan
Department of Engineering Science, National Cheng Kung University
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Hwang Chi-chuan
Department Of Engineering Science National Cheng Kung University
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Hwang C‐c
National Cheng Kung Univ. Tainan Twn
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LIN Chaur-Kie
Department of Mechanical Engineering, Ching-Yun Institute of Technology
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HUANG Gwo-Jiunn
Department of Electrical and Electronics Engineering, University of Wales Swansea
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UEN Wu-Yih
Department of Electronic Engineering, Chung Yuan University
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Uen Wu-yih
Department Of Electronic Engineering Chung Yuan University
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Lin Chaur-kie
Department Of Mechanical Engineering Ching-yun Institute Of Technology
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Huang Gwo-jiunn
Department Of Electrical And Electronics Engineering University Of Wales Swansea
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