| Theoretical model of particle orientation distribution function in a cylindrical particle suspension subject to turbulent shear flow |
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| 作者姓名： | ZHANG Lingxin LIN Jianzhong ZHANG Weifeng |
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| 作者单位： | 1. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; 2. Institute of Marine and Coastal Sciences, Rutgers University, New Brunswick, New Jersey, USA |
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| 摘 要： | The equation for the orientation probability function of slender cylindrical particles suspended in planar turbulent flows was investigated. After ensemble averaging, the equations for the mean and fluctuating probability function were derived. The equation for the fluctuating probability function appearing in the equation of mean probability function was solved by using the method of characteristics analysis. The orientational dispersion terms due to the random motion of cylindrical particles in the equation of mean probability function are related to the mean probability function and the Lagrangian fluid velocity correlations. The evolution of the mean probability function was described by a modified orientation?space?convection equation, where the dispersion terms account for the randomizing effect of the turbulence.
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| 关 键 词： | dispersion cylindrical particle suspensions turbulent flow probability function. |
Theoretical model of particle orientation distribution function in a cylindrical particle suspension subject to turbulent shear flow |
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| ZHANG Lingxin,LIN Jianzhong,ZHANG Weifeng.Theoretical model of particle orientation distribution function in a cylindrical particle suspension subject to turbulent shear flow[J].Progress in Natural Science,2006,16(1):16-20. |
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| Authors: | ZHANG Lingxin LIN Jianzhong ZHANG Weifeng |
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| Institution: | 1. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027,China
2. Institute of Marine and Coastal Sciences, Rutgers University, New Brunswick, New Jersey, USA |
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| Abstract: | The equation for the orientation probability function of slender cylindrical particles suspended in planar turbulent flows was investigated. After ensemble averaging, the equations for the mean and fluctuating probability function were derived. The equation for the fluctuating probability function appearing in the equation of mean probability function was solved by using the method of characteristics analysis. The orientational dispersion terms due to the random motion of cylindrical particles in the equation of mean probability function are related to the mean probability function and the Lagrangian fluid velocity correlations. The evolution of the mean probability function was described by a modified orientation?space?convection equation, where the dispersion terms account for the randomizing effect of the turbulence. |
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| Keywords: | dispersion cylindrical particle suspensions turbulent flow probability function |
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