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On the hydrodynamic stability of a particle-laden flow in growing flat plate boundary layer
作者姓名:XIE  Ming-liang  LIN  Jian-zhong  XING  Fu-tang
作者单位:XIE Ming-liang1,LIN Jian-zhong1,2,XING Fu-tang3 (1Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,China) (2College of Metrology Technology and Engineering,China Jiliang University,Hangzhou 310018,China) (3Department of Environment Engineering,Wuhan University of Science and Technology,Wuhan 430081,China)
基金项目:Project supported by the National Natural Science Foundation ofChina (No. 10372090) and the Doctoral Program of Higher Educationof China (No. 20030335001)
摘    要:INTRODUCTION Turbulent particulate flows occur in many in-dustrial applications, such as in pneumatic transportof particulates, cyclone separators and chemical re-actors. The particles suspended in fluid play a role inthe turbulence modulation, which has been known forseveral years. The observation that adding dust to airflowing in turbulent motion through a pipe can ap-preciably reduce the resistance coefficient was re-ported by Sproull (1961). The observation can beexpressed as saying …

关 键 词:水力系统  稳定性  分界线  流体力学
收稿时间:2006-03-28
修稿时间:2006-10-17

On the hydrodynamic stability of a particle-laden flow in growing flat plate boundary layer
XIE Ming-liang LIN Jian-zhong XING Fu-tang.On the hydrodynamic stability of a particle-laden flow in growing flat plate boundary layer[J].Journal of Zhejiang University Science,2007,8(2):275-284.
Authors:Xie Ming-liang  Lin Jian-zhong  Xing Fu-tang
Institution:(1) Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, China;(2) College of Metrology Technology and Engineering, China Jiliang University, Hangzhou, 310018, China;(3) Department of Environment Engineering, Wuhan University of Science and Technology, Wuhan, 430081, China
Abstract:The parabolized stability equation (PSE) was derived to study the linear stability of particle-laden flow in growing Blasius boundary layer. The stability characteristics for various Stokes numbers and particle concentrations were analyzed after solving the equation numerically using the perturbation method and finite difference. The inclusion of the nonparallel terms produces a reduction in the values of the critical Reynolds number compared with the parallel flow. There is a critical value for the effect of Stokes number, and the critical Stokes number being about unit, and the most efficient instability suppression takes place when Stokes number is of order 10. But the presence of the nonparallel terms does not affect the role of the particles in gas. That is, the addition of fine particles (Stokes number is much smaller than 1) reduces the critical Reynolds number while the addition of coarse particles (Stokes number is much larger than 1) enhances it. Qualitatively the effect of nonparallel mean flow is the same as that for the case of plane parallel flows.
Keywords:Hydrodynamic stability  Blasius boundary layer  Particle-laden nonparallel flow  Numerical simulation
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