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Shanahan, Peter
1992.
Mixing and transport.
Water Environment Research,
Vol. 64,
Issue. 4,
p.
514.
Article contents
Entrainment of an eddy at the edge of a jet
Published online by Cambridge University Press: 26 April 2006
Abstract
An inviscid two-dimensional eddy (with maximum circulation $\hat{\Gamma}$ and uniform vorticity $\hat{\zeta}_2 > 0$, surrounded by irrotational fluid is initially located near the edge of a jet, on the other side of which the vorticity $\hat{\zeta}_1(< \hat{\zeta}_2)$ increases. The interaction causes the eddy to move towards the edge and into the shear flow. Eventually the eddy and the ambient (irrotational) fluid are surrounded by the jet fluid. An average entrainment velocity is computed for a variety of relevant conditions, and found to scale mainly with $(\hat{\Gamma}_1)^{\frac{1}{2}}$. The approximate proportionality constant is somewhat larger than the measured value for three-dimensional (turbulent) jets, suggesting that the two-dimensional mechanism may be qualitatively relevant. The results may also be generalized to study the role of mesoscale eddies in the lateral entrainment of ambient fluid into oceanic jets.
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