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I suggest a solution to a persistent mystery in the physics of turbulentshear flows: cumulus clouds rise to towering heights, practically withoutentraining the ambient medium, while apparently similar turbulent jets ingeneral lose their identity within a small distance through entrainment andmixing. From dynamical systems computations on a model chaotic vortical flow, Ishow that entrainment and mixing due to coherent structures depend sensitivelyon the relative speeds of different portions of the flow. A small change inthese speeds, effected for example by heating, drastically alters the sizes ofthe KAM tori and the chaotic mixing region. The entrainment rate and, hence,the lifetime of a turbulent shear flow, shows a universal, non-monotonedependence on the heating.Comment: Preprint replaced in order to add the following comment: accepted for  publication in Phys. Rev. Let

Universal Behavior of Entrainment due to Coherent Structures in Turbulent Shear Flow