with scalar components 01 == Ox, Oz == 0y, and 03 == Oz have been sought for a long time by turbulence experimentalists. (Here, Bijk is the alternating tensor and Vk is the velocity vector with scalar components VI == V, Vz == V, and V3 == W. Lower case variables indicate turbulent fluctuations with zero mean value.) The reason is rather obvious. Vorticity is a defining property of turbulence, i.e. the presence of vorticity in a flow is considered essential to identifying it as true turbulent motion. Furthermore, there are
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Wallace et al. (1995) studied this question.