稳态风沙流中沙粒体积浓度的模型分析

赵国丹; 亢力强; 邹学勇; 张春来; 程宏

doi:10.7522/j.issn.1000-694X.2014.00204

中国沙漠 >

2015 , Vol. 35 >Issue 5: 1113 - 1119

DOI: https://doi.org/10.7522/j.issn.1000-694X.2014.00204

沙漠与沙漠化

稳态风沙流中沙粒体积浓度的模型分析

赵国丹 ,
亢力强 ,
邹学勇 ,
张春来 ,
程宏

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北京师范大学地表过程与资源生态国家重点实验室/防沙治沙教育部工程研究中心, 北京 100875

赵国丹(1986-),女,河南安阳人,硕士研究生,研究方向为风沙物理。Email: zhaoguodan86@163.com

收稿日期: 2014-10-24

修回日期: 2014-12-05

网络出版日期: 2015-09-20

基金资助

国家自然科学基金项目(41330746,41271020和11002028);国家211工程"项目高等学校仪器设备和优质资源共享系统"(cers-1-109)

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A Model of Particle Volume Concentration in Steady Windblown Sand Movement

Zhao Guodan ,
Kang Liqiang ,
Zou Xueyong ,
Zhang Chunlai ,
Cheng Hong

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State Key Laboratory of Earth Surface Processes and Resource Ecology/MOE Engineering Center of Desertification and Blown-sand Control, Beijing Normal University, Beijing 100875, China

Received date: 2014-10-24

Revised date: 2014-12-05

Online published: 2015-09-20

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摘要

本文建立了一个简单有效的稳态风沙流中沙粒体积浓度的数学模型,包括3个部分:稳态风沙流的风速廓线描述、跃移沙粒轨迹的计算、床面沙粒起跳速度分布的描述。利用已知实验的风速廓线作为气流速度场输入参数,跃移沙粒轨迹的计算主要考虑重力和拖曳力,基于体积观点的床面起跳沙粒的水平速度和垂直速度概率密度分布函数分别采用正态分布和指数分布函数来描述。根据稳态风沙流中运动沙粒的动态平衡特征可推导计算沙粒体积浓度。计算的沙粒体积浓度与风洞实验结果基本一致,说明本模型有较好的预测能力。

关键词： 风沙流; 沙粒体积浓度; 模型

本文引用格式

赵国丹 , 亢力强 , 邹学勇 , 张春来 , 程宏 . 稳态风沙流中沙粒体积浓度的模型分析[J]. 中国沙漠, 2015 , 35(5) : 1113 -1119 . DOI: 10.7522/j.issn.1000-694X.2014.00204

Abstract

A simple and available mathematical model is developed for particle volume concentration in steady windblown sand movement, which includes three sections: wind velocity description, calculation of saltating particle trajectory and the description of particle ejected velocity distribution. In the model, the experimental wind velocity profile is used for the calculation of wind velocity, and the particle gravity and drag force are mainly considered for the calculation of particle trajectory. Based on the volume view, the probability density distributions of horizontal and vertical lift-off particle velocities are expressed by normal function and exponential function, respectively. Then the particle volume concentration can be deduced according to the dynamic equilibrium of particle motion in steady windblown sand movement. The result shows that the calculated particle volume concentration is consistent with the experimental results in wind tunnel, this reflects that the present model can provide a better prediction for the particle volume concentration in steady windblown sand movement.

Key words： windblown sand movement; particle volume concentration; model

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