| Instability of liquid film flowing down a linearly heated plate |
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| 引用本文： | HU Jun,HU Guohui,SUN Dejun,YIN Xieyuan. Instability of liquid film flowing down a linearly heated plate[J]. 自然科学进展(英文版), 2003, 13(8): 568-572 |
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| 作者姓名： | HU Jun HU Guohui SUN Dejun YIN Xieyuan |
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| 作者单位： | Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China,Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China,Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China,Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 10002018) and the Chinese Academy of Sciences (Grant No. KJCX2-SW-L2) |
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| 摘 要： | The full-scale linear stability equations for a liquid film flowing down a linearly heated inclined plate are derived from the N-S equations, and the stability characters of both temporal and spatial modes are computed by using Chebyshev spectral collocation method. The effects of Weber numbers and Marangoni numbers on growth rate, marginal curve, critical Reynolds number, etc. Are investigated. An explicit dispersion relation under long-wave approximation, which is in exact agreement with Miladinova's one, is obtained and the limits of long-wave approximation are discussed.
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| 关 键 词： | falling film Marangoni instability surface wave instability |
Instability of liquid film flowing down a linearly heated plate |
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| HU Jun,Hu Guohui,SUN Dejun,YIN Xieyuan. Instability of liquid film flowing down a linearly heated plate[J]. Progress in Natural Science, 2003, 13(8): 568-572 |
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| Authors: | HU Jun Hu Guohui SUN Dejun YIN Xieyuan |
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| Affiliation: | 1. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China
2. Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | The full-scale linear stability equations for a liquid film flowing down a linearly heated inclined plate are derived from the N-S equations, and the stability characters of both temporal and spatial modes are computed by using Chebyshev spectral collocation method. The effects of Weber numbers and Marangoni numbers on growth rate, marginal curve, critical Reynolds number, etc. Are investigated. An explicit dispersion relation under long-wave approximation, which is in exact agreement with Miladinova's one, is obtained and the limits of long-wave approximation are discussed. |
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| Keywords: | falling film Marangoni instability surface wave instability |
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