Statistical Theory of Effective Viscosity in a Random Suspension
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- Nagatani Takashi
- Department of Mechanical Engineering, Fukuoka University
書誌事項
- タイトル別名
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- Statistical Theory of Effective Viscosi
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抄録
A general theory is presented to derive the coarse-grained equations governing the macroscopic behaviour of slow viscous flow in suspensions from the standpoint of statistical continuum mechanics. A system of equations governing the macroscopic behaviour of viscous flow in suspensions can be obtained using formal perturbation methods and coarse-graining procedures. The coarse-grained equations lead to an expression for the dependence of the effective viscosity of suspensions on the concentration of particles φ. In the dilute limit our result reduces to Einstein’s theory of dilute suspensions, and the deviation from Batchelor’s formula is not significant to the second order in φ. Even for more concentrated suspensions, the result is in good agreement with experimental data obtained by Vand.
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 47 (1), 320-326, 1979
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
- 1390001204191225088
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- NII論文ID
- 110001964622
- 130003895997
- 210000088250
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1979JPSJ...47..320N
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 2056467
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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
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可