Abstract
The heuristic Fermi-Neumann box model is used to study the non-Boussinesq lock exchange flows in an infinite horizontal channel. This allowed us to find the asymptotic growth laws for intrusion tongues at a late stage of their development. It is shown that these laws are essentially different. The classical scenario of the linear growth x1∝t is supported only by the lower (heavy) intrusion tongue. The same is not true for the upper (light) intrusion tongue that obeys the law x2∝t/lnt.
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