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Image analysis of thickness in flowing soap films. I: effects of polymer |
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| Authors: | Ruri Hidema Zenji Yatabe Masahiko Shoji Chihiro Hashimoto Robert Pansu Gabriel Sagarzazu Hideharu Ushiki |
| Affiliation: | 1. Laboratory of Molecular Dynamics and Complex Chemical Physics, Department of Biochemistry and Biotechnology, United Graduate School of Agricultural Science, Tokyo University of Agriculture and Technology, 3-5-8, Saiwai-cho, Fuchu-shi, Tokyo, 183?8509, Japan 2. Department of Applied Chemistry and Biotechnology, Niihama National College of Technology, 7-1, Yakumo-Cho, Niihama, Ehime, 792-8580, Japan 3. Laboratoire de Photophysique et Photochimie Supramoléculaires et Macromoléculaires UMR 8531 CNRS, D’Alembert Institute, ENS Cachan, 61 av. President Wilson, 94230, Cachan, France 4. Laboratory of Molecular Dynamics and Complex Chemical Physics, Institute of Symbiotic Science and Technology, Division of Ecosciences, Tokyo University of Agriculture and Technology, 3-5-8, Saiwai-cho, Fuchu-shi, Tokyo, 183-8509, Japan |
| Abstract: | Two-dimensional turbulence in flowing soap films with polymer additives is analyzed by image analysis. The power spectra of the interference patterns of turbulent soap films are calculated. The scaling exponent of the power spectrum is −5/3 for polymer free solution and −1 for dilute polymer solution in enstrophy cascade range, which is consistent with the results of thickness fluctuations in previous researches. We propose a Curvature analysis method that calculates the curvatures of the interference pattern of turbulent soap films. The results suggest that the curvature histogram describes well the shape of the interference pattern, which is related to the shape of the vortices. The curvature histograms for different polymer concentrations can be fitted by a stretched exponential function. |
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