Abstract
This paper provides theoretical and numerical investigation carried out on a vertical up-flow model risen to investigate the jet maximum height based on buoyancy frequency parameter σi and plume function Γi. We study the characteristic solution of the maximum height reached by the fountain through an asymptotic approach. Results show a discontinuity of affinity solution approximation at Γi≫1. The fluid became very negligible and ended with a fall back. The entrainment coefficient effect had no significant influence on the topological behavior profiles development of this jet with negative buoyancy force.
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