Author:
LIN WENXIAN,ARMFIELD S. W.
Abstract
The weak axisymmetric fountain that results from the injection of a dense fluid
upwards into a large container of homogeneous fluid of lower density is studied
numerically. Using a time-accurate finite volume code, the behaviour of fountains
with both a uniform and a parabolic profile of the discharge velocity at the source
has been investigated. The evolution of the transient fountain flow has been analysed
and two distinct stages have been identified. The time series of the passage of the
fountain front has been presented and the initial, temporary and final characteristic
fountain heights have been determined and scaled with the Froude number at the
source. At steady state, the final fountain height and the fountain width are found to
be the height and horizontal length scales which provide the full parameterization of
the flow in the fountain core. The vertical velocity and temperature on the symmetry
axis have been scaled with the height scale and an explicit correlation is also obtained
for the former. The radial distributions of both the vertical and horizontal velocities
in the zone of self-similarity in the fountain core at steady state have been scaled with
the two length scales and empirical correlations have been obtained.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
69 articles.
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