论文标题
混合层和湍流流中的螺旋流中心
Mixing layer and turbulent jet flow in a Hele--Shaw cell
论文作者
论文摘要
考虑了限制在两个相对紧密的刚性壁之间的理想均匀流体的剪切流中的平面湍流混合。流的特征是通过在开尔文 - 螺旋荷兰兹不稳定性发展和湍流摩擦的非线性阶段产生的涡流确定的。在浅水理论的框架和流动的三层表示的框架中，提出了混合层的一维模型。获得的方程式可以确定强烈流体混合区域的平均边界。构建和分析了管理方程的固定解决方案。使用一维方程获得的平均流量特性，得出了用于确定速度曲线和雷诺在混合层上剪切应力的双曲系统。与Hele-shaw细胞中湍流射流流动进化的实验结果相比，提出的模型提供了对强烈混合区域的平均边界的相当准确的描述，以及速度曲线和雷诺剪切应力跨混合层。
A plane turbulent mixing in a shear flow of an ideal homogeneous fluid confined between two relatively close rigid walls is considered. The character of the flow is determined by interaction of vortices arising at the nonlinear stage of the Kelvin--Helmholtz instability development and by turbulent friction. In the framework of the shallow water theory and a three-layer representation of the flow, one-dimensional models of a mixing layer are proposed. The obtained equations allow one to determine averaged boundaries of the region of intense fluid mixing. Stationary solutions of the governing equations are constructed and analysed. Using the averaged flow characteristics obtained by one-dimensional equations, a hyperbolic system for determining the velocity profile and Reynolds shear stress across the mixing layer is derived. Comparison with the experimental results of the evolution of turbulent jet flows in a Hele--Shaw cell shows that the proposed models provide a fairly accurate description of the average boundaries of the region of intense mixing, as well as the velocity profile and Reynolds shear stress across the mixing layer.
