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Stokes, T.E.; Hocking, Graeme C.; Forbes, Lawrence K.

doi:10.1023/a:1025892915279

Cited by 26 publications

(3 citation statements)

References 15 publications

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“…More accurate solutions indicate that as soon as small waves begin to form on the free surface, the steady solutions fail. These results are consistent with unsteady simulations [19].…”

Section: Introductionsupporting

confidence: 92%

The Effect of Surface Tension on Free-Surface Flow Induced by a Point Sink

Hocking¹,

Nguyen²,

Forbes³

et al. 2016

ANZIAM J.

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The steady, axisymmetric flow induced by a point sink (or source) submerged in an inviscid fluid of infinite depth is computed and the resulting deformation of the free surface is obtained. The effect of surface tension on the free surface is determined and is the new component of this work. The maximum Froude numbers at which steady solutions exist are computed. It is found that the determining factor in reaching the critical flow changes as more surface tension is included. If there is zero or a very small amount of surface tension, the limiting factor appears to be the formation of small wavelets on the free surface; but, as the surface tension increases, this is replaced by a tendency for the lowest point on the free surface to descend sharply as the Froude number is increased.2010 Mathematics subject classification: 0102.

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“…More accurate solutions indicate that as soon as small waves begin to form on the free surface, the steady solutions fail. These results are consistent with unsteady simulations [19].…”

Section: Introductionsupporting

confidence: 92%

The Effect of Surface Tension on Free-Surface Flow Induced by a Point Sink

Hocking¹,

Nguyen²,

Forbes³

et al. 2016

ANZIAM J.

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“…The main reason [2] Steady flows induced by a point sink 151 for studying the steady flow case was the lack of computing power and the lack of stable numerical methods for dealing with free surface hydrodynamical problemsin particular, the formation of a singularity on the free surface after a finite critical time that often occurs in unsteady inviscid flow (see the article by Moore [15]). More complete historical information on this problem can be found in Stokes et al [17,18], which discusses all of the relevant line sink and point sink results. In this note, we revisit one of the fundamental solutions obtained during this period [3].…”

Section: Introductionmentioning

confidence: 99%

A Note on Steady Flow Into a Submerged Point Sink

Hocking¹,

Forbes²,

Stokes³

2014

ANZIAM J.

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The steady, axisymmetric flow induced by a point sink (or source) submerged in an unbounded inviscid fluid is computed. The resulting deformation of the free surface is obtained, and a limit of steady solutions is found that is quite different to those obtained in past work. More accurate solutions indicate that the old limiting flow rate was too high and, in fact, the breakdown of steady solutions at a lower flow rate is characterized by the appearance of spurious wavelets at the free surface.2010 Mathematics subject classification: 0102.

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“…More complete historical information on this problem can be found in Stokes et al [17,18], which discusses all of the relevant line sink and point sink results. In this note, we revisit one of the fundamental solutions obtained during this period [3].…”

Section: Introductionmentioning

confidence: 99%