RADINS equations for aerated shallow water flows over rough beds
RADINS equations for aerated shallow water flows over rough beds
复制标题
粗糙河床上通气浅水流的 RADINS 方程
DOI：
10.1080/00221686.2011.597940
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发表时间：
2011
影响因子：
2.3
通讯作者：
Pokrajac D
中科院分区：
文献类型：
--
作者：
Pokrajac D
描述湍流自由表面流动的深度平均方程通常是假设自由表面在统计实现系综上是恒定的。这项工作提出了推导的雷诺平均深度集成Navier-Stokes（RADINS）方程，如果删除这个假设。这些方程适用于瞬态湍流明渠流粗糙床与含气泡的充气自由表面。RADINS方程包含的项明确地包括湍流自由表面波动对大尺度体积和动量传递的贡献。这些条款进行了评估，在一个实验室实验，其中涉及湍流孔爬上一个粗糙的斜坡。将新的RADINS方程与传统的深度积分平均Navier-Stokes（DIRANS）方程进行了比较。RADINS方程和DIRANS方程只有在水深波动可以忽略的情况下才是相同的。如果不满足这个条件，方程就不同了，RADINS方程中的项具有更清楚的物理意义。
Depth-averaged equations describing turbulent free-surface flows are usually derived assuming that the free surface is constant over a statistical ensemble of realizations. This work presents the derivation of the Reynolds-Averaged-Depth-Integrated Navier–Stokes (RADINS) equations obtained if this assumption is removed. These equations are applied to transient turbulent open-channel flow over a rough bed with an aerated free surface containing air bubbles. The RADINS equations contain terms which explicitly include the contribution of turbulent free-surface fluctuations to the large-scale volume and momentum transfer. These terms are evaluated in a laboratory experiment which involves a turbulent bore climbing up a rough slope. The new RADINS equations are compared with the conventional depth-integrated-Reynolds-averaged Navier–Stokes (DIRANS) equations. The RADINS and DIRANS equations are identical only for flows with negligible depth fluctuations. If this condition is not satisfied, the equations are different and the terms in the RADINS equations have a clearer physical meaning.
DOI：
10.1016/s0017-9310(00)00202-7
发表时间：
2001-03
影响因子：
5.2
作者：
Marcos H. J. Pedras;M. D. Lemos
通讯作者：
Marcos H. J. Pedras;M. D. Lemos
影响因子：
2.4
作者：
D. Pokrajac;I. McEwan;V. Nikora
通讯作者：
V. Nikora