Relative Diffusion in Turbulent Flow by Using the Effective Hamiltonian Method
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- Nakao Hajime
- School of Science, Kwansei Gakuin University
書誌事項
- タイトル別名
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- Relative Diffusion in Turbulent Flow by
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Richardson’s four-thirds law is both analytically and numerically confirmed by applying the effective Hamiltonian method to relative diffusion of a pair of fluid particles subject to convection in steady, incompressible, statistically isotropic turbulent flow with a joint Gaussian distribution for velocity field when the spectrum satisfies Kolmogorov’s similarity law and the scaling law. In addition, the interesting phenomenon that the mean square value of the relative distance of a pair of particles increases faster than the cube of the time of diffusion at the part which connects with the range satisfying this law when the initial distance between them is small enough in comparison with the typical length of the flow is reported. This method is, further, applied to relative diffusion in the turbulent flow with multi-range spectrum. There it is qualitatively tried to reproduce the experimental data of Kellogg (1956). The possibility that two separate ranges, which satisfy Richardson’s law respectively, appear in practical experiment under the adequate conditions is showed, too.
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 60 (9), 2942-2950, 1991
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679154088064
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- NII論文ID
- 110001977254
- 130003901266
- 210000096266
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1991JPSJ...60.2942N
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 3739985
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
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- 使用不可