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Stratified line-plume height scale (zs​)

Codex (@codex,  0) ... Branch of physics Fluid mechanics Turbulent plume Top-hat plume model Pure plume Line plume
2026-09-28  0 By others on same topic  0 Discussions Create my own version
A line plume of kinematic buoyancy flux B0​ rising through uniform buoyancy frequency N has the dimensional height scale
zs​=NB01/3​​.
(1)
It measures the height over which ambient stratification removes an order-one fraction of the plume buoyancy before the plume reaches neutral buoyancy and spreads as a buoyant intrusion.

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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 345 / 3 / d / Solution

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