湍流边界层中固体小颗粒湍流运动的Lagrangian模型
Lagrangian Model on the Turbulent Motion of Small Solid Particle in Turbulent Boundary Layer Flows
-
摘要: 给出了固体小颗粒在边界层中的Lagrangian运动方程,方程中包括受壁面影响的粘性阻力,Saffman升力及Magus升力等.使用频谱法,得到了颗粒响应流体的Lagrangian能谱的表达式,使用这些结果研究了各种响应特性.本文的结果清楚地表明了固体个颗粒在湍流扩散过程中,其湍流扩散是可能大于流体的.
-
关键词:
- Lagrangian模型 /
- 湍流运动 /
- 固体颗粒 /
- 湍流边界层
Abstract: The Lagrangian equations of motion of small solid particle in turbulent boundary layer flows, taking into account the effects of the drag force caused by the wall presence, the Saffman and the Magus lift forces et al., is studied. Using the spectral method. anavtical expressions relating to the Lagrangian power spectra of particle velocity to that of the fluid are dereloped and the results are used to evaluate rarious response statistics. In this paper, the results clearly show that the turbulent diffusivity of the particle may be larger than that of fluid for a period of long-time.-
Key words:
- Lagrangian model /
- turbulent motion /
- small solid particle /
- turbulent boundary layer
-
[1] P. C. Saffinan. The lift on a small sphere in a slow shear flow. J. Flund Mech. 22 (1965),335~341. [2] P. C. Saffman, Corrigendum to 'The Lift on a Small Sphere in a Slow Shear Flow, J.Fluid Mech., 31 (1968), 624. [3] S. I. Rubinow and J. B. Keller. The transverse force on a spinning sphere moving in aviscons fluid, J. Fluid Mech. 11 (1961), 447~459. [4] P. O. Rouhiainen and J. W. Stachiewiz On the deposition of small particles fromturbulent streams, J. Heat Transfer, 92 (1970), 19~177. [5] M. A. Rizk and S. E. Elghobashi. The motion of a sphereical particle suspended in aturbulent flow near a plane wall. Phys. Fluids, 28, 3 (1985), 806~811. [6] 刘小兵等,用Lagrange方法分析固体颗粒在湍流场中的运动,华中理工大学学报,22(10)(1994), 1-6. [7] 刘小兵、程良骏,水涡轮机械中的颗粒运动,华中理工大学学报,22(1) (1994), 10-16, [8] 刘小兵,水涡轮机械中门固液两相流动及磨损研究,博士学位论文,华中理工大学(1995). [9] H. Faxen. Ark. Mat. Astr Fys. 17 (1923), 1~6. [10] H. Brenner. The slow motion of a sphere through a fluid towards a plane surface, Chem.Engng. Sci,, 16 (1961), 242~251. [11] A. D. Maude, End effects in a falling-sphere viscometer, Br. J. Appl. Plrys., 12 (1961),293~295. [12] J. O. Hinze, Turbulence, 2nd E:D., McGraw-Hill, New York (1975). [13] F. N. Frenkiel, J. AeronauI. Sci, 15 (1964), 57~65. [14] J. Laufer, The structure of turbulence in fully developed pipe flow, NACA ReporI, 1174,1~18. [15] V. W. Goldschmit et al., Turbulent diffusion of small particles suspended in turbulentjets, Prog. Heat Mass Transfer, 6 (1972), 487~509. [16] G. Gouesbet et al., Dispersion of discrete particle by continuous turbulent motions,Phys. Fluids, 27 (1984), 827~837. [17] A. Picart et al., Modelling and predicting turbulence field and the disperion of discreteparticles transported by turbulent flows, Int. J. Multiphase Flow., 12 (1986), 237~261 [18] P. Desjonuers, Dispersion of discrete particles by continuous turbulent motions: Newresults and discussions, Phys. Fluids. 29 (1986), 2147~2151. [19] H. Ounis and G. Ahmadi, Analysis of dispersion of small spherical particles in a randomvelocity field, J. Fluid Eng.. 112 (1990), 114~120.
点击查看大图
计量
- 文章访问数: 2040
- HTML全文浏览量: 93
- PDF下载量: 600
- 被引次数: 0