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振荡潜流带沉积层−水界面污染物输运的研究

陈金峰 张金龙 杨文武 董宇红

陈金峰, 张金龙, 杨文武, 董宇红. 振荡潜流带沉积层−水界面污染物输运的研究. 力学学报, 2022, 54(10): 1-11 doi: 10.6052/0459-1879-22-227
引用本文: 陈金峰, 张金龙, 杨文武, 董宇红. 振荡潜流带沉积层−水界面污染物输运的研究. 力学学报, 2022, 54(10): 1-11 doi: 10.6052/0459-1879-22-227
Chen Jinfeng, Zhang Jinlong, Yang Wenwu, Dong Yuhong. Study on contaminant transport at the sediment-water interface in oscillating flow. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 1-11 doi: 10.6052/0459-1879-22-227
Citation: Chen Jinfeng, Zhang Jinlong, Yang Wenwu, Dong Yuhong. Study on contaminant transport at the sediment-water interface in oscillating flow. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(10): 1-11 doi: 10.6052/0459-1879-22-227

振荡潜流带沉积层−水界面污染物输运的研究

doi: 10.6052/0459-1879-22-227
基金项目: 国家自然科学基金资助项目(12172207, 92052201)
详细信息
    作者简介:

    董宇红, 教授, 主要研究方向: 湍流, 多相流和传热传质. E-mail: dongyh@shu.edu.cn

  • 中图分类号: O352

STUDY ON CONTAMINANT TRANSPORT AT THE SEDIMENT-WATER INTERFACE IN OSCILLATING FLOW

  • 摘要: 潜流带中污染物质交换与输运特性是影响水资源环境的重要问题之一. 本文对底部为高渗透沉积层的三维槽道振荡流高Schmidt数传质问题进行了大涡模拟研究. 采用动力学亚格子模型来封闭滤波后的三维不可压缩Navier-Stokes方程以及污染物输运方程, 同时采用修正的Darcy-Brinkman-Forcheimer模型来描述沉淀有锌离子污染溶质的可渗透沉积层. 通过对沉积层内外流场和浓度场的统计特性以及瞬态结构的分析, 探究了上覆水体中振荡流驱动作用对污染物输运的动力学影响以及扩散率随振荡周期和振荡角的变化规律. 研究结果表明, 浓度通量中的湍流浓度分量在垂向物质交换中起主导作用, 流向、展向速度, 湍流强度和污染物浓度的波动跟随振荡驱动力呈现准周期变化, 同时发现沉积层−水交界面处的湍流浓度通量与法向湍流强度两者之间的变化具有明确的相关性. 并且在较大振荡角和低频振荡的情况下, 沉积层−水交界面处的有效扩散率增大, 这主要是来自于沉积层−水交界面处流体的猝发行为有效促进了湍流混合和物质交换, 进而增强了污染物的垂向输运.

     

  • 图  1  底部含有沉积层上部为自由面的槽道振荡流动模型示意图

    Figure  1.  The sketch of the oscillatory flow model of a channel with a sediment layer at the bottom and a free surface at the top

    图  2  流向平均速度分布

    Figure  2.  Profiles of the mean streamwise velocity

    图  3  平均浓度在垂向的分布

    Figure  3.  Profiles of the mean concentration along the vertical direction

    图  4  振荡驱动力${P_g}$与体积平均的展向速度${W_b}$、流向速度${U_b}$、湍动能${E_k}$的关系(a) $ A = {15^ \circ },T = 3 $ (b) $ A = {15^ \circ },T = 12 $ (c) $ A = {45^ \circ },T = 12 $ (d) $ A = {75^ \circ },T = 12 $

    Figure  4.  Oscillation driving force versus volume-averaged spanwise velocity${W_b}$, streamwise velocity${U_b}$, turbulent kinetic energy${E_k}$

    图  5  体积平均的流向速度、湍动能和沉积层内浓度随时间变化曲线. (a) $ A = {15^ \circ },T = 3 $ (b) $ A = {15^ \circ },T = 12 $ (c) $ A = {45^ \circ },T = 12 $ (d) $ A = {75^ \circ },T = $12

    Figure  5.  Volume-averaged streamwise velocity, turbulent kinetic energy, and concentration in sediment versus time

    图  6  相位平均的法向湍流强度(a) $ A = {15^ \circ },T = 3 $ (b) $ A = {15^ \circ }, $$ T = 12 $ (c) $ A = {45^ \circ },T = 12 $ (d) $ A = {75^ \circ },T = 12 $

    Figure  6.  Profiles of phase-averaged wall-normal turbulent intensities

    图  7  $A = {45^ \circ },T = 12$算例在x-z平面${y^ + } = 103$处法向速度脉动的等值线图($v' = \pm 2.0$). (a) t/T=4/8, (b) t/T=5/8, (c) t/T=6/8, (d) t/T=7/8, (e)相位点图

    Figure  7.  Contour plot of the instantaneous wall-normal velocities ($v' = \pm 2.0$)parallel to the x-z plane(${y^ + } = 103$) for the $A = {45^ \circ },T = 12$case

    图  8  算例$A = {45^ \circ },T = 12$在不同相位的法向浓度通量瞬时等值面分布图(z方向视图). 蓝色和棕色分别代表法向浓度通量值为$C'v' = 0.01$$C'v' = - 0.01$. (a) t/T=4/8, (b) t/T=5/8, (c) t/T=6/8, (d) t/T=7/8

    Figure  8.  Contour maps of the instantaneous wall- normal convective concentration flux in different phases for $A = {45^ \circ },T = 12$(z-direction view). The blue and the brown iso-surface means $C'v' = 0.01$ and $C'v' = - 0.01$.

    图  9  流向平均速度(a)和平均浓度(b)沿法向分布 (细虚线为SWI位置)

    Figure  9.  Mean streamwise velocity and mean concentration distribution along the normal direction

    图  10  雷诺应力在第二、四象限的分布(细虚线为SWI位置) (a) 第二象限 (b) 第四象限

    Figure  10.  Distribution of Reynolds stress in the second and fourth quadrants

    图  11  浓度通量(a)和法向湍流强度(b)沿法向分布

    Figure  11.  Distribution of concentration flux (a) and turbulent intensities (b) along normal direction

    图  12  不同振荡角和振荡周期与有效扩散系数的关系

    Figure  12.  Relationship between different oscillation angles and oscillation periods and effective diffusivity

    表  1  流场物理参数(h = 10 cm)

    Table  1.   Physical parameters of flow field

    $ \nu (c{m}^{2}{s}^{-1}) $$ {D}_{w}(c{m}^{2}{s}^{-1}) $$ {u}_{\tau }(cm{s}^{-1}) $$ {C}_{\infty }(mg{l}^{-1}) $$Sc$
    $8.96 \times {10^{ - 3}}$$2.40 \times {10^{ - 5}}$$0.16$$8.25$$ 373 $
    下载: 导出CSV

    表  2  不同算例的计算参数和湍流通量等统计量

    Table  2.   Calculation parameters and statistics such as turbulent flux for different cases

    AT$ < {C_w} > $$ < C'v'{ > _{SWI}}( \times {10^{ - 3}})$ $ < J{ > _{SWI}}( \times {10^{ - 6}})$
    $ {15^ \circ } $30.1771.632.39
    $ {45^ \circ } $30.1781.642.01
    $ {75^ \circ } $30.1781.631.81
    $ {15^ \circ } $60.1832.262.60
    $ {45^ \circ } $60.1832.001.98
    $ {75^ \circ } $60.1811.831.27
    $ {15^ \circ } $120.2082.591.50
    $ {45^ \circ } $120.1962.271.11
    $ {75^ \circ } $120.2042.120.57
    下载: 导出CSV
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  • 网络出版日期:  2022-07-28

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