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• W2072901912 abstract "Abstract This paper theoretically investigates the initial up-flow of a vertical turbulent fountain (round or plane) in a linearly stratified environment. Conservation equations (volume, momentum and buoyancy) are written under the Boussinesq approximation assuming an entrainment proportional to the vertical velocity of the fountain. Analytical integration leads to exact values of both density and flow rate at the maximal height reached by the fountain. This maximal height is expressed as a function of the release conditions and the stratification strength and plotted from a numerical integration in order to exhibit overall behaviour. Then, analytical expressions for the maximal height are derived from asymptotic analysis and compared to experimental correlations available for forced fountains. For weak fountains, these analytical expressions constitute a new theoretical model. Finally, modified expressions are also proposed in the singular case of an initially non-buoyant vertical release." @default.
• W2072901912 created "2016-06-24" @default.
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• W2072901912 date "2011-12-05" @default.
• W2072901912 modified "2023-10-18" @default.
• W2072901912 title "Analytical solutions for turbulent Boussinesq fountains in a linearly stratified environment" @default.
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• W2072901912 doi "https://doi.org/10.1017/jfm.2011.487" @default.
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