We present a similarity analysis of strong turbulent jets directed perpendicularly into a crossflow. The analysis neglects pressure terms in the governing equations, and assumes complete similarity in each of two intermediate-asymptotic regions of the flow: a jet region, where the jet is largely unaffected by the crossflow, and a wake-like region, where the jet has been deflected well into the crossflow. Scaling laws are derived for velocity, scalar concentration, and jet trajectory, and show good agreement with existing experimental data. The structure of the counter-rotating vortex pair implied by this analysis is significantly different from typical representations found in the literature.
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Hasselbrink et al. (2001) studied this question.