旋涡Lamb矢量与各向同性湍流的统计结构

摘要

The Lamb vector is known to be of profound importance for fluid dynamics generally and for the dynamics of turbulence in particular. Based on the new developments of the statistical theory of isotropic turbulence, some new analytical indications are found that the Lamb vector has a contribution in the potential and solenoidal parts, which are almost equal for some typical parameters.%湍流旋涡运动研究中一个基本理论问题是：相对于Lamb矢量本身的大小而言，对Lamb矢量的Helmholtz 分解中的有势部分占多大比例，本文利用发展的基于精确解的各向同性湍流统计理论的结果，给出了新的解析理论预测结果。