Axisymmetric flow in a cylindrical tank over a rotating bottom. Part II. Deformation of the water surface and experimental verification of the theory
Axisymmetric flow in a cylindrical tank over a rotating bottom. Part II. Deformation of the water surface and experimental verification of the theory
复制标题
旋转底部上方的圆柱形罐中的轴对称流动。
DOI：
10.1088/1873-7005/aa8bf0
复制
发表时间：
2017
影响因子：
1.5
通讯作者：
Misawa Nobuhiko
中科院分区：
文献类型：
--
作者：
Iga Keita;Yokota Sho;Watanabe Shunichi;Ikeda Takashi;Niino Hiroshi;Misawa Nobuhiko
在第一部分中描述的具有旋转底部的圆柱形容器的轴对称流动理论，是根据先前和我们自己的实验室实验结果进行验证的。首先，利用该理论得到的轴对称流的速度分布，推导出水面的变形。将水面形态划分为三种状态，并确定了这些状态之间转换的旋转速率。将该理论预测的参数与实验室实验的测量结果以及以往实验研究的数据进行了比较。理论与实验数据吻合较好，但在靠近侧壁的狭窄区域存在细微差异。通过考虑侧壁边界层周围的流体行为估计的修正成功地解释了大部分差异。这个理论似乎很好地预测了实验室实验的结果，比使用二次阻力假设作为湍流边界层模型的理论要好得多。
The theory of axisymmetric flow in a cylindrical container with a rotating bottom, as described in Part I, is validated against the results of previous and our own laboratory experiments. First, deformation of the water surface is derived using the velocity distribution of the axisymmetric flow obtained by the theory. The form of the water surface is classified into three regimes, and the rotation rates of the transitions between these regimes are determined. The parameters predicted from this theory are compared with the results measured in laboratory experiments and also with data from previous experimental studies. The theory predicts the experimental data well, but a slight difference was found in the narrow region close to the side wall. Corrections estimated by considering the fluid behavior around the side wall boundary layer successfully explain most of the discrepancies. This theory appears to predict the results of the laboratory experiments very well, much better than a theory using an assumption of quadratic drag as a model of turbulent boundary layers.