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- W1883478780 abstract "The behaviour of plane fountains, resulting from theinjection of dense fluid upwards into a large containerof homogeneous fluid of lower density, is investigated.The transient behaviour of fountains with parabolic inletvelocity profile and Reynolds numbers, 50 ≤ Re ≤150, Prandtl numbers, Pr=7, 300 and 700, and Froudenumbers, Fr = 0.25 to 10.0 are studied numerically.The fountain behaviour falls into three distinct regimes;steady and symmetric; unsteady and periodic flapping;unsteady and aperiodic. The analytical scaling of nondimensionalfountain height, zm, with Fr and Re iszm ∼ Fr4/3−2γ/3Re−γ. The constant γ is found empiricallyfor each of the regimes. The fountain height decreaseswith increase in Reynolds number in the steadyregion but increases with Reynolds number in the unsteadyregimes. However, the fountain height increaseswith Froude number in all regimes. Numerical resultsand the analytical scaling show that zm is independentof Prandtl number in the range considered. The fountainexhibits periodic lateral oscillations, i.e., periodicflapping for intermediate Froude numbers ranging from1.25 ≤ Fr ≤ 2.25." @default.
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- W1883478780 date "2007-01-01" @default.
- W1883478780 modified "2023-09-26" @default.
- W1883478780 title "Numerical Simulation of Free-fountains in a Homogeneous Fluid" @default.
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