img

官方微信

  • CN 62-1070/P
  • ISSN 1000-694X
  • 双月刊 创刊于1981年
高级检索
沙漠与沙漠化

碰撞激起沙粒的起跳初速度分布函数

  • 罗生虎 ,
  • 武建军 ,
  • 张嘉凡
展开
  • 1. 兰州大学 西部灾害与环境力学教育部重点实验室/土木工程与力学学院, 甘肃 兰州 730000;
    2. 西安科技大学 理学院, 陕西 西安 710054
罗生虎(1983-),男,新疆哈密人,博士,讲师,主要从事风沙环境物理学研究。Email:luoshh06@163.com

收稿日期: 2013-08-17

  修回日期: 2013-09-25

  网络出版日期: 2014-07-20

基金资助

国家重点基础研究发展计划项目(2009CB421304);国家自然科学基金项目(10772075,10772074);西安科技大学博士启动基金项目(2012QDJ031);西安科技大学科研培育基金项目(201239);陕西省教育厅科研计划项目(11JK0542)资助

The Probability Density Function Distribution of the Liftoff Velocity in Grain/Bed Collision

  • Luo Shenghu ,
  • Wu Jianjun ,
  • Zhang Jiafan
Expand
  • 1. Ministry of Education Key Laboratory of Mechanics on Western Disaster and Environment/ School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
    2. Department of Mechanics, Xi'an University of Science and Technology, Xi'an 710054, China

Received date: 2013-08-17

  Revised date: 2013-09-25

  Online published: 2014-07-20

摘要

本文根据已有粒/床碰撞研究得出的基本定性结论以及组合论的基本原理,给出了风沙流中碰撞激起沙粒的起跳初速度分布函数,该函数服从瑞利分布的形式。以这一起跳初速度分布函数为基础建立风沙耦合跃移运动的基本模型,计算了单宽输沙率等风沙运动机理研究中普遍关心的物理量。将计算结果和已有实验结果对比分析表明,本文给出的起跳初速度分布函数是科学的,这对风沙流中沙粒起跳初速度分布函数给出了一个定性的认识。

本文引用格式

罗生虎 , 武建军 , 张嘉凡 . 碰撞激起沙粒的起跳初速度分布函数[J]. 中国沙漠, 2014 , 34(4) : 949 -954 . DOI: 10.7522/j.issn.1000-694X.2013.00397

Abstract

Based on some deterministic laws of the grain/bed collision and the constitution theory, a probability density function distribution of the liftoff velocity is obtained as the Rayleigh distribution. A model between the grains and the wind is suggested in this paper. Then, the windblown sand movement mechanism is discussed as the streamwise sand transport. The comparison with existing experimental results show that the probability density function distribution of the liftoff velocity obtained in this paper is feasible, and a qualitative understanding about the probability density function distribution of the liftoff velocity is obtained.

参考文献

[1] 周悦,牛生杰,邱玉珺.半干旱区沙尘天气近地层湍流通量及起沙研究[J].中国沙漠,2010,30(5):1194-1199.
[2] 武建军,孙焕青,李建业,等.蠕移沙粒流体起动风速的实验研究[J].中国沙漠,2011,31(3):471-574.
[3] Bagnold R A.The Physics of Blown Sand and Desert Dunes[M].New York,USA:Methuen,1941.
[4] 缑倩倩,韩致文,杜鹤强,等.中国沙尘暴源区及其治理研究述评[J].中国沙漠,2012,32(6):1559-1564.
[5] Anderson R S,Sorensen M,Willetts B B.A review of recent progress in our understanding of Aeolian sediment transport[J].Acta Mechanica,1991,(Sup):1-19.
[6] 赵建华,张强,隆霄.冲击起沙的概念模型[J].中国沙漠,2012,32(2):323-330.
[7] 武建军,罗生虎,闫光虎.脉动风场下风沙流结构的数值模拟[J].中国沙漠,2011,31(3):602-606.
[8] Mitha S,Tran M Q,Werner B T,et al.The grain-bed impact process in aeolian saltation[J].Acta Mechanica,1986,63(1/4):267-278.
[9] Mcewan J K,Willetts B B,Rice M A.The grain/bed collision in sand transport by wind[J].Sedimentology,1992,39:971-981.
[10] Nalpanis J,Hunt J C R,Barrett C F.Saltating particles over flat beds[J].Journal of Fluid Mechanics,1993,251:661-685.
[11] Rice M A,Willetts B B,McEwan I K.An experimental study of multiple grain-size ejecta produced by collisions of saltating grains with a flat bed[J].Sedimentology,1995,42(4):695-706.
[12] Rice M A,Willetts B B,McEwan I K.Observations of collisions of saltating grains with a granular bed from high-speed cine-film[J].Sedimentology,1996,43(1):21-31.
[13] Rioual F,Valance A,Bideau D.Experimental study of the collision process of a grain on a two-dimensional granular bed[J].Physical Review E,2000,62(2):2450-2459.
[14] Beladjine D,Madani A,Luc O,et al.Collision process between an incident bead and a three-dimensional granular packing[J].Physical Review E,2007,75(6):61305.
[15] Werner B T,Haff P K.The impact process in eolian saltation:two dimensional simulations[J].Sedimentology,1988,35:189-196.
[16] Anderson R S,Haff P K.Simulation of eolian saltation[J].Science,1988,241(4867):820-823.
[17] Anderson R S,Haff P K.Wind modification and bed response during saltation of sand in air[J].Acta Mechanica,1991,(Sup):21-51.
[18] Andreotti B.A.two-species model of aeolian sand transport[J].Journal of Fluid Mechanics,2004,510:47-70.
[19] Zhou Y H,Li W Q,Zheng X J.PDM simulation of stochastic collisions of sandy grain-bed with mixed size in aeolian sand saltation[J].Journal of Geophysical Research,2006,111:15108
[20] Kok J F,Renno N O.A comprehensive numerical model of steady state saltation (COMSALT)[J].Journal of Geophysical Research,2009,114:D17204.
[21] Anderson R S,Hallet B.Sediment transport by wind toward a general model[J]. Bulletin of Geological Society of America,1986,97(5):523-535.
[22] Huang N,Zhang Y,Adamo R D.A model of the trajectories and midair collision probabilities of sand particles in a steady state saltation cloud[J].Journal of Geophysical Research,2007,112: D08206.
[23] Shao Y P.A Similarity theory for saltation and application to aeolian mass flux[J].Boundary-Layer Meteorology,2005,115:319-338.
[24] Zou X Y,Wang Z L,Hao Q Z,et al.The distribution of velocity and energy of saltating sand grains in a wind tunnel[J].Geomorphology,2001,36:155-165.
[25] Dong Z B,Liu X P,Li F,et al.Impact-entrainment relationship in a saltating cloud[J].Earth Surface Processes and Landforms,2002,27:641-658.
[26] Crassous J,Beladjine D,Valance A.Impact of projectile on a granular medium described by a collision model[J].Physical Review L,2007,99:248001.
[27] Deboeuf S,Gondret P,Rabaud M.Dynamics of grain ejection by sphere impact on a granular bed[J].Physical Review E,2009,79(4):041306.
[28] 张学文.组合论[M].合肥:中国科学技术大学出版社,2003.
[29] Mcewan I K,Befcoate B J,Willetts B B.The grain-fluid interaction as a self-stabilizing mechanism in fluvial bed transport[J].Sedimentology,1999,46:407-416.
[30] Kawamura R.Study on Sand Movement by Wind[R]. Institute of Science and Technology,University of Tokyo,1951:95-112.
[31] Zhou Y H,Xiang G,Zheng X J.Experimental measurement of wind-sand flux and sand transport for naturally mixed sands[J].Physical Review E,2002,66(2):021305.
[32] Sarre P D.Aeolian sand transport[J].Progress in Physical Geography,1987,11(2):157-182.
[33] Shao Y P.Physics and Modelling of Wind Erosion[M].Norwell,USA:Kluwer Academic publishers,2000.
[34] Iversen J D,Rasmussen K R.The effect of wind speed and bed slope on sand transport[J].Sedimentology,1999,46(4):723-731.
[35] Zheng X J,Huang N,Zhou Y.The effect of electrostatic force on the evolution of sand saltation cloud[J].The European Physical Journal E,2006,19(2):129-138.
[36] Shao Y P,Raupach M R.The overshoot and equilibration of saltation[J].Journal of Geophysical Research,1992,91:12719-12726.
[37] 尹永顺.砾漠大风地区的风沙流研究[J].中国沙漠,1989,9(4):27-36.
[38] Dong F,Liu D Y.Intellection about the vertical profiles of the particales’ concentration and mass flux in the blown sand layer[J].Mechanics and Practices,1997,19(6):42-44.
[39] Zheng X J,He L H,Wu J J.Vertical profile of mass flux for windblown sand movement at steady state[J].Journal of Geophysical Research,2004,109:B01106.
文章导航

/