Reynolds-number effect on vortex ring evolution in a viscous fluid
Reynolds-number effect on vortex ring evolution in a viscous fluid
复制标题
DOI：
10.1063/1.3693276
复制
发表时间：
2012-03
影响因子：
4.6
通讯作者：
F. Kaplanski;Y. Fukumoto;Y. Rudi
中科院分区：
文献类型：
--
作者：
F. Kaplanski;Y. Fukumoto;Y. Rudi
涡环核的横截面随着雷诺数的增加呈近似椭圆形。为了模拟这一特点，斯托克斯方程的涡环解的函数形式被修改，以便能够模拟更高的雷诺数环。该模型引入了两个控制涡核形状的无量纲参数：λ 1和β 1。基于这种修改，新的表达式的平移速度，能量，环流，和流函数推导出了广泛的截面椭圆度，是特定于这样的涡。为了验证该模型，使用了Danaila和Helie [Phys. Fluids 20，073602（2008）]在雷诺数Re = 1400时对涡环进行的数值研究的数据。在这种情况下，λ和β的适当值是通过使理论涡旋的归一化能量艾德和环量Γd与从数值数据中得到的相应值相等来计算的。该模型提供…
It is known that the cross section of the vortex ring core takes an approximately elliptical shape with increasing Reynolds number. In order to model this feature, the functional form of a vortex ring solution of the Stokes equations is modified so as to be able to model higher Reynolds number rings. The model introduces two nondimensional parameters that govern the shape of the vortex core:λ ⩾ 1 and β ⩾ 1. Based on this modification, new expressions for the translation velocity, energy, circulation, and streamfunction are derived for a wide range of section ellipticity that are specific to such vortices. To validate the model, the data adapted from the numerical study of vortex ring at Reynolds number Re = 1400 performed by Danaila and Helie [Phys. Fluids 20, 073602 (2008)], is used. In this case, the appropriate values of λ and β are calculated by equating the normalized energy Ed and circulation Γd of the theoretical vortex to the corresponding values obtained from the numerical data. The model provide...