任意流场中稀疏颗粒运动方程及其性质

黄社华; 李炜; 程良骏

任意流场中稀疏颗粒运动方程及其性质

1.
武汉水利电力大学河流系, 武汉 430000;
2.
北京大学湍流国家重点实验室, 北京 100871;
3.
华中理工大学动力系, 武汉 430000

基金项目: 国家自然科学基金资助项目(59709007);博士后科学基金资助项目

详细信息

作者简介:
黄社华(1964～ ),男,博士,副教授,研究方向:流体力学等,已发表论文16篇.

中图分类号: O359
计量
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- 被引次数: 0
出版历程
- 收稿日期: 1998-07-13
- 修回日期: 1999-07-20
- 刊出日期: 2000-03-15

On Equation of Discrete Solid Particles’ Motion in Arbitrary Flow Field and Its Properties

1.
Wuhan University of Hydraulic and Electric Engineering, Wuhan 430000, P R China;
2.
State Koy Lab for Turbulence Researcch, Peking University, Beijing 100871, P R China;
3.
Huazhong University of Science and Technology, Wuhan 430000, P R China

摘要

摘要: 通过研究和比较稀疏刚性颗粒相对流体运动时所受到的各种作用力,并考虑在不同流动条件下各作用力的修正问题从而得到了任意流场中稀疏颗粒运动方程的一般形式;然后分析了该方程的数学性质,采用积分变换方法(Laplace变换)对该方程的基本形式进行了理论解析;最后探讨了颗粒物理性质对其运动规律的影响,以及几种典型流场中稀疏颗粒的运动特性,得到了一些有意义的结论。
- 两相流 /
- 粒子运动方程 /
- 稀疏颗粒 /
- 积分变换分析
Abstract: The forces on rigid particles moving in relation to fluid having been studied and the equation of modifications of their expressions under different flow conditions discussed, a general form of equation for discrete particles' motion in arbitrary flow field is obtained. The mathematical features of the linear form of the equation are clarified and analytical solution of the linearized equation is gotten by means of Laplace transform. According to above theoretical results, the effects of particles' properties on its motion in several typical flow field are studied, with some meaningful conclusions being reached.
- solid liquid two phase flow /
- discrete particles' motion equation /
- discrete solid porticles /
- Laplace transform

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参考文献(26)

[1]	Hinze J O.Turbulence[M].New York:2rd,McGraw-Hill Book Co.2rd,1975.
[2]	Maxey M R, Riley J J.Equation of motion of a small rigid sphere in a nonuniform flow[J].Phys Fluids,1983,26(4):883～889.
[3]	Gousbet G, Berlement A, Picart A.Dispersion of particles by continuous turbulent motions.Extensive discussion of the Chen's theory, using a two-parameter family of Lagrangian corration functions[J].Phys Fluids,1984,27(4):827～837.
[4]	Lazaro B J, Lasheras J C.Particles dispersion in a turbulent, plane, free shear layer[J].Phys Fluids,1989,A1(6):1035～1044.
[5]	Tio K, Gana-Calvo A M, Lasheras J C.The dynamics of small, heavy, rigid spherical particles in a periodic Stuart vortex flow [J].Phys Fljids,1993,A5(7):1679～1693.
[6]	易家训.流体力学[M].北京:高等教育出版社,1983.
[7]	黄社华.固液两相运动理论及水力机械泥沙磨损的研究[D].武汉:博士学位论文,华中理工大学博士学位论文,1995
[8]	黄社华,李炜,程良骏.任意流场中稀疏颗粒运动方程的数值解法及其应用[J].水动力学研究与进展,A辑,1999,14(1):51～62.
[9]	刘大有.两相流体动力学[M].工程力学丛书,北京:高等教育出版社,1993.
[10]	Saffman P G.Corrigendum[J].J Fluid Mech,1968,32.
[11]	Hamed A.Particle dynamics of inlet flow-fields with swirling vanes[J].J of Aircraft,1982,19(9):707～712.
[12]	Beacher B et al.Improved particles trajectories calculations through turbomachery affected by coal ash particles[J].J of Engineering for Power,1982,104(1):64～68.
[13]	怀特,F M[美].粘性流体动力学[M] (魏中磊,甄恩淼译).北京:机械工业出版社,1982.
[14]	窦国仁.紊流力学[M](下册).北京:高等教育出版社,1987.
[15]	岑可法,樊建人.工程气固多相流动的理论及计算,杭州:浙江大学出版社,1990.
[16]	Odar F.Verification of the proposed equation of the forces on a sphere accelerating in a viscous fluid[J].J Fluid Mech,1966,25(3):591～592.
[17]	Happle J, Brenner H.Low Reynolds Number Hydrodynamics,[M].New Jersey:Prentice Hall,1965.
[18]	谢鉴衡.河流泥沙工程学[M].北京:水利电力出版社,1980.
[19]	钱宁,万兆惠.泥沙运动力学[M].北京:科学出版社,1983.
[20]	蔡树棠.泥沙在静水中的沉淀运动,(Ⅰ)含沙浓度对沉速的影响[J].物理学报,1956,12(5):409～418.
[21]	Tam C K W.The drag on a cloud of spherical particles in low Reynolds number flow[J].J Fluid Mech,1969,38(4):537～546.
[22]	Zuber N.On the dispersed two-phase flow in the laminar flow region[J].Chen Eng Scien,1964,19(4):897～917.
[23]	Tsuji Y et al.Experiment measurement of Magnus forces on a rotating shere at low Peynolds[J].Trans ASME J Fluid of Eng,1985,107(4):484～488.
[24]	Mei R.An approximate expression for the shear lift force of a spherical particle at finite Reyolds number[J].Int J Multiphase Flow,1992,18(1):145～148.
[25]	汪胡桢编.现代工程数学手册[M].第一卷,武汉:华中工学院出版社,1985.
[26]	沈钧涛,陈十一.球形粒子在流体中的跟随性[J].空气动力学学报,1989,17(1):50～58.