×

zbMATH — the first resource for mathematics

A theoretical model of a turbulent fountain. (English) Zbl 0993.76035
Summary: We develop a theoretical model of axisymmetric turbulent fountains in both homogeneous and stratified fluids. The model quantifies the entrainment of ambient fluid into the initial fountain upflow, and the entrainment of fluid from both the upflow and environment into the subsequently formed downflow. Four different variations of the model are considered, comprising the two most reasonable formulations of body forces acting on the ‘double’ structure, and two formulations of the rate of entainment between the flows. The four model variations are tested by comparing the predictions from each of them with experimental measurements of fountains in homogeneous and stratified fluids.

MSC:
76F25 Turbulent transport, mixing
76F45 Stratification effects in turbulence
PDF BibTeX XML Cite
Full Text: DOI