On wave families in a two-layer falling film |
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| Institution: | 1. Advanced Product Development Team, R&D Center, Hankook Tire Co., 23-1 Jang-dong, Yuseong-gu, Daejeon 305-725, South Korea;2. The University of Akron, Akron, OH 44325-3909, USA;1. Carnegie Mellon University in Qatar, P.O. Box 24866 Doha, Qatar;2. Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, United States;1. Institute of Mechanics, TU Dortmund University, Leonhard-Euler-Strasse 5, 44227 Dortmund, Germany;2. Division of Solid Mechanics, Lund University, P.O. Box 118, 221 00 Lund, Sweden;1. Institut de Recherche en Génie Civil et Mécanique (GeM), UMR CNRS 6183, École Centrale de Nantes, France;2. Michelin, Centre Technique de Ladoux, Clermont-Ferrand, France;1. Manchester Centre for Nonlinear Dynamics and School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK;2. School of Chemical Engineering and Analytical Science, University of Manchester, PO BOX 88, Manchester, M60 1QD, UK;3. Department of Chemistry, Lancaster University, Bailrigg, Lancaster, LA1 4YB, UK |
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| Abstract: | Using an approximate method, families of non-linear steady-traveling periodic waves in a two-layer falling film have been found for the first time. Computed waves have qualitatively similar behavior as that of those found in homogeneous films but the quantitative characteristics of the waves strongly depend on additional similarity parameters in the two-layer films. In particular, the average location of the interface affects the bifurcation scheme of the waves. |
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| Keywords: | Thin fluid film Interface Non-linear waves Bifurcations |
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