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Investigation of density flow in dam reservoirs using a three-dimensional mathematical model including Coriolis effect

机译:使用包含科里奥利效应的三维数学模型调查大坝水库中的密度流

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This paper aims to simulate and discuss the propagation of density current and divergence flow in a dam reservoir. The density plunging flow is modeled in three-dimensions through a dam reservoir with diverging and sloping bottom channels, and the plunging phenomenon has been reproduced in the present model. Nonlinear and unsteady continuity, momentum, energy and turbulence model equations are formulated in the Cartesian coordinates both in a sloping and in a diverging channel. For the turbulence viscosity, a k-ε turbulence model including buoyancy effects is used to reproduce the main flow characteristics. To investigate the Coriolis force effect on the density flow in a dam reservoir, Coriolis force parameter is also included in the governing equations. The equations of the model are solved based on the initial and boundary conditions of the dam reservoir flow for a range of bottom slopes and divergence angles. In this paper the main interest is the formation of separated flows, such as wall-jet and free-jet flows. The model successfully simulates the formation of attached flow, wall jets, and free jets in a negatively buoyant environment. The simulation results obtained from this study are compared with previous experimental work, and the mathematical model studies data on density current generated by the plunging of cold water in ambient warm water in a diverging channel, and is found to be of the same magnitude as the experimental measurements and followed the expected basic trend.
机译:本文旨在模拟和讨论大坝水库中密度流和扩散流的传播。通过具有分叉和倾斜底部通道的大坝水库,以三维模型模拟了密度骤降流,并且在本模型中已再现了这种骤降现象。非线性和非恒定的连续性,动量,能量和湍流模型方程都是在直角坐标系中在倾斜通道和发散通道中建立的。对于湍流粘度,包括浮力效应的k-ε湍流模型用于重现主要流动特性。为了研究科里奥利力对大坝水库中密度流的影响,控制方程还包括了科里奥利力参数。该模型的方程式是基于一定范围的底部坡度和发散角的大坝水库水流的初始和边界条件求解的。在本文中,主要的兴趣是分离流的形成,例如壁流和自由流。该模型成功模拟了在负浮力环境中附着的水流,壁流和自由流的形成。从这项研究中获得的模拟结果与先前的实验工作进行了比较,并且该数学模型研究了由冷水在分叉通道中的环境热水中浸入而产生的密度电流的数据,并且发现其大小与实验测量并遵循预期的基本趋势。

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