Height and stability of laminar plane fountains in a homogeneous fluid

Srinarayana, N., McBain, G.D., Armfield, S.W., and Lin, W.X. (2008) Height and stability of laminar plane fountains in a homogeneous fluid. International Journal of Heat and Mass Transfer, 51. pp. 4717-4727.

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Abstract

The behaviour of plane fountains, resulting from the injection of a denser fluid upwards into a large body of a lighter homogeneous fluid, is investigated numerically. The transient behaviour of fountains with a uniform inlet velocity, Reynolds number Re = 100, Prandtl number Pr = 7, and Froude number 0.25 6 Fr 6 10.0 is studied numerically. In the present case, the density variation is as a result of temperature difference between the fountain and the ambient fluids. Three distinct regimes are identified; steady and symmetric fountains for 0.25 6 Fr 6 2.0, unsteady fountains with periodic lateral oscillation for 2.25 6 Fr 6 3.0, and unsteady fountains with aperiodic lateral oscillations for Fr P4.0. It is found empirically that the non-dimensional fountain height, zm, scales differently with Froude number in each of these regimes; in the steady and symmetric region zm Fr, in the unsteady and periodic lateral oscillation region zm Fr1:15 and in the unsteady and aperiodic lateral oscillation region zm Fr4=3. The results are compared with previous numerical and experimental results, where available and are consistent. 2008 Elsevier Ltd. All rights reserved.

Item ID: 4815
Item Type: Article (Refereed Research - C1)
Keywords: plane fountain, buoyancy dominated flows, numerical simulation, scaling, flapping, fountain stability
ISSN: 1879-2189
Funders: Australian Research Council
Date Deposited: 30 Jul 2009 04:32
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 50%
97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 50%
Citation Count from Web of Science Web of Science 6
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