Structure of a linear array of hollow vortices of finite cross-section
Structure of a linear array of hollow vortices of finite cross-section
复制标题
有限截面空心涡线性阵列的结构
DOI：
10.1017/s0022112076001894
复制
发表时间：
1976
影响因子：
3.7
通讯作者：
J. S. Sheffield
中科院分区：
文献类型：
--
作者：
G. Baker;P. Saffman;J. S. Sheffield
自由流线理论被用来构造一个精确的定常解的线性阵列的空心，或停滞的核心，涡在无粘不可压缩流体。如果每个涡流的面积为A，分离为L，则如果A/2/L小于临界值0.38，则有两种可能的形状，如果A/2/L大于临界值0.38，则没有形状。对于二维、周期性和对称扰动，我们考虑了空心涡形状的稳定性。两种可能的形状中变形较大的形状是不稳定的，而变形较小的形状是稳定的。
Free-streamline theory is employed to construct an exact steady solution for a linear array of hollow, or stagnant cored, vortices in an inviscid incompressible fluid. If each vortex has area A and the separation is L, there are two possible shapes if A½/L is less than a critical value 0.38 and none if it is larger. The stability of the shapes to two-dimensional, periodic and symmetric disturbances is considered for hollow vortices. The more deformed of the two possible shapes is found to be unstable while the less deformed shape is stable.