考虑沙粒带电情形下的单宽输沙率经验公式

摘要/Abstract

摘要： 单宽输沙率是风沙流研究的一个重要参数。基于考虑跃移运动沙粒带电的风沙流演化过程理论模型,对单宽输沙率进行了大量详细的数值模拟,在此基础上,拟合得到一个便于实际应用的单宽输沙率经验公式。该公式包含来流风速、沙粒粒径和平均荷质比等影响风沙流演化过程的重要可测参数。与已有模型相比较发现,通过对公式中参数沙粒荷质比赋予（-160 μc·kg-1, 0 μc·kg-1）范围内的值,预测的输沙率与现有许多输沙率预测公式的预测结果都能符合,意味着静电作用可能是导致众多输沙率公式预测结果不统一的原因之一。

关键词: 单宽输沙率, 预测公式, 荷质比, 数值模拟

Abstract: The streamwise sand transport rate, also known as wind-blown sand transport rate, is a vital parameter in wind-blown sand flux. Based on numerical simulation of the wind-blown sand saltation with the sand electrification, the streamwise sand transport rates are calculated in this paper. By analyzing the results, a predicting model for wind-blown sand transport rate is established, which is a function of particle diameter, wind velocity and the electrical charge. The predicted mass transport rates agree well with those predicted by many other models as the parameter of charge-to-mass ratio is set to be in the range of (-160 μc·kg-1, 0 μc·kg-1), implying that sand electrification may be one of the reasons of discrepancy among models.

Key words: streamwise sand transport rate, predicting model, charge-to-mass ratio, numerical simulation

中图分类号:

X169

胡文文;王萍*. 考虑沙粒带电情形下的单宽输沙率经验公式[J]. 中国沙漠, 2011, 31(3): 613-617.

HU Wen-wen;WANG Ping. A General Model Predicting the Streamwise Sand Transport Rate with Saltating Sand Charged[J]. JOURNAL OF DESERT RESEARCH, 2011, 31(3): 613-617.

参考文献

[1]Bagnold R A.The Physics of Blown Sand and Desert Dunes[M].London:Methuen,1941.
[2]Kawamura R.Study of sand movement by wind[C].Hydraulics Engineering Laboratory Report HEL-2-8.University of California,Berkeley,1951.
[3]Zingg A W.Wind tunnel tests of the movement of sedimentary material[C].Iowa State Univ.,Proc.5th Hydraulic Con.Bull.,1953,34:111-135.
[4]Belly P Y.Sand movement by wind,Tech.Memo.1,U.S.Army Coastal Eng.Res.Cent.,Vicksburg,Miss,1964.
[5]Owen P R.Saltation of uniform grains in air[J].Journal of Fluid Mechanics,1964,20:225-242.
[6]Hsu S A.Wind stress criteria in eolian sand transport[J].Journal of Geophysical Research,1971,76:8684-8686.
[7]Kind R J.A critical examination of the requirements formodel simulation of wind-induced erosion/deposition phenomenasuch as snow drifting[J].Atmospheric Environment,1976,10:219-227.
[8]Lettau K,Lettau H H.Exploring the Worlds Driest Climate[C].University of Wisconsin,IES Report,1978:110.
[9]White B R.Soil transport by winds on Mars[J].Journal of Geophysical Research,1979,84(B9):4643-4651.
[10]吴正.风沙地貌学[M].北京:科学出版社,1987.
[11]Ungar J E,Haff P K.Steady state saltation in air[J].Sedimentology,1987,34:289-299.
[12]Srensen M.An analytic model of wind-blown sand transport[J].Acta Mechanica Supplement,1991,1:67-81.
[13]刘贤万.实验风沙物理与风沙工程学[M].北京:科学出版社,1995.
[14]Sauermann G,Kroy K,Herrmann H J.Continuum saltation model for sand dunes[J].Physical Review E,2001,64:031305.
[15]Zhou Y H,Guo X,and Zheng X J.Experimental measurement of wind-sand flux and sand transport for naturally mixed sands[J].Physical Review E,2002,66:021305.
[16]岳高伟,黄宁,郑晓静.沙粒形状的不规则性及静电力对起动风速的影响[J].中国沙漠,2003,23(6):621-627.
[17]Dong Z,Liu X,Wang H,et al.Aeolian sand transport:A wind tunnel model[J].Sedimentary Geology,2003,161:71-83.
[18]李振山,张琦峰.风沙流的输沙率沿程变化规律[J].中国沙漠,2006,26(2):189-193.
[19]Okoli R E.Wind tunnel Study on Aeolian Saltation Dynamics and Mass flow[J].Journal of Arid Environments,2003,53:569-583.
[20]董治宝.中国风沙物理研究五十年(Ⅰ)[J].中国沙漠,2005,25(3):293-305.
[21]柳本立,张伟民,刘小宁,等.莫高窟顶戈壁偏东风作用下输沙率变化的观测研究[J].中国沙漠,2010,30(3):516-521.
[22]Almeida M P,Andrade J S,Herrmann H J.Aeolian transport layer[J].Physical Review Letters,2006,96:018001.
[23]Rasmussen K R,Kok J F,and Merrison J P.Enhancement in wind-driven sand transport by electric fields[J].Planetary Space Science,2009,57:804-808.
[24]Zheng X J,Huang N,Zhou Y H.Laboratory measurement of electrification of wind-blown sands and simulation of its effect on sand saltation movement[J].Journal of Geophysical Research,2003,108(D10):4322.
[25]Zheng X J,He L H,Zhou Y H.Theoretical model of the electric field produced by charged particles in windblown sand flux[J].Journal of Geophysical Research,2004,109:D15208.
[26]Yue G,Zheng X J.Electric field in windblown sand flux with thermal diffusion[J].Journal of Geophysical Research,2006,111:D16106.
[27]何琴淑,周又和.带电椭球粒子对电磁波的散射[J].兰州大学学报,2004,40(2):25-30.
[28]Zheng X J.Mechanics of wind-blown sand movement[M].Berlin:Springer-Verlag,2009.
[29]White F M.Viscous Fluid Flow[M].New York:McGraw-Hill,1974.
[30]Anderson R S,Haff P K.Wind modification and bed response during saltation of sand in air[J].Acta Mechanica Supplement,1991,1:21-51.
[31]Shao Y P.Physics and Modelling of Wind Erosion[M].Dordrecht:Kluwer Academic Publishers,2000.
[32]郑晓静,王萍.风沙流中沙粒随机运动的数值模拟研究[J].中国沙漠,2006,26(2):184-188.
[33]王萍,胡文文,郑晓静.沙粒的跃移与悬移[J].中国科学(G辑),2008,38(7):908-918.