长江科学院院报 ›› 2017, Vol. 34 ›› Issue (7): 60-64.DOI: 10.11988/ckyyb.20160346

• 水力学 • 上一篇    下一篇

斜坡上的密度流数值模拟研究

米博宇1, 张小峰1, 任 实2   

  1. 1.武汉大学 水资源与水电工程科学国家重点实验室,武汉 430072;
    2.中国长江三峡集团公司,湖北 宜昌 443133
  • 收稿日期:2016-04-12 出版日期:2017-07-01 发布日期:2017-07-10
  • 作者简介:米博宇(1992-),男,湖北安陆人,硕士研究生,主要从事水力学数值模拟方面的研究,(电话)15527820486(电子信箱)miboyu@whu.edu.cn。

Numerical Simulation of Density Current on a Slope

MI Bo-yu1, ZHANG Xiao-feng1, REN Shi2   

  1. 1.State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University,    Wuhan 430072, China;
    2.China Three Gorges Corporation, Yichang 443133,China
  • Received:2016-04-12 Online:2017-07-01 Published:2017-07-10

摘要: 为了探讨均匀密度环境水体中斜坡密度流的运动规律,建立了立面二维RNG k-ε紊流数学模型,通过与已有试验资料对比,验证了该模型的合理性与准确性。利用该模型模拟不同坡角和流量下的斜坡密度流,研究结果表明:密度流头部流速与坡角具有一定的函数关系,存在一个最优坡角使得相同条件下的头部流速最大;头部流速与浮力通量的三次方根之间并非严格的正比例函数关系,在流量较小或较大时将发生偏离;密度流运动过程中,头部形态不断扩大,头部的厚长比逐渐减小;头部扩大的速率随着坡角和流量的增大而增大,最后逐渐趋于一个稳定速率。研究结果能够帮助进一步了解斜坡密度流的运动规律。

关键词: 密度流, 斜坡, 头部流速, 数值模拟, RNG k-ε紊流模型

Abstract: A vertical two-dimensional RNG k-ε turbulent model is established and its reasonability and accuracy are verified by comparison with existing experimental data. Density current on a slope in the presence of different slope gradients and discharges is simulated, and results reveal that 1) the head velocity of density current has a function relationship with the slope gradients, and there is an optimal slope gradients which maximizes the head velocity under the same condition; 2)the relation between head velocity and the cubic root of buoyance flux is not a strict proportional function, deviating under small or large discharge; 3)the head shape is enlarged in the motion process of density current, and the ratio of thickness to length of the head decreases gradually; 4)the growth rate of the head increases with the increase of slope gradients and discharges, and finally tends to a steady rate. These results could help further understand the motion pattern of density current on slope.

Key words: density current, slope, head velocity, numerical simulation, RNG k-ε turbulent model

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