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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    HOLMES, R. J. and HOCKING, G. C. 2016. A line sink in a flowing stream with surface tension effects. European Journal of Applied Mathematics, Vol. 27, Issue. 02, p. 248.


    STOKES, T. E. HOCKING, G. C. and FORBES, L. K. 2016. Unsteady flows induced by a point source or sink in a fluid of finite depth. European Journal of Applied Mathematics, p. 1.


    PANDA, SRIKUMAR MARTHA, S. C. and CHAKRABARTI, A. 2015. THREE-LAYER FLUID FLOW OVER A SMALL OBSTRUCTION ON THE BOTTOM OF A CHANNEL. The ANZIAM Journal, Vol. 56, Issue. 03, p. 248.


    HOCKING, G. C. FORBES, L. K. and STOKES, T. E. 2014. A NOTE ON STEADY FLOW INTO A SUBMERGED POINT SINK. The ANZIAM Journal, Vol. 56, Issue. 02, p. 150.


    COSGROVE, JASON M. and FORBES, LAWRENCE K. 2012. SELECTIVE WITHDRAWAL OF A TWO-LAYER VISCOUS FLUID. The ANZIAM Journal, Vol. 53, Issue. 04, p. 253.


    Forbes, Lawrence K. and Hocking, Graeme C. 2010. Unsteady draining of a fluid from a circular tank. Applied Mathematical Modelling, Vol. 34, Issue. 12, p. 3958.


    Stokes, T.E. Hocking, G.C. and Forbes, L.K. 2008. Unsteady free surface flow induced by a line sink in a fluid of finite depth. Computers & Fluids, Vol. 37, Issue. 3, p. 236.


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Unsteady flow induced by a withdrawal point beneath a free surface

  • T. E. Stokes (a1), G. C. Hocking (a2) and L. K. Forbes (a3)
  • DOI: http://dx.doi.org/10.1017/S1446181100009986
  • Published online: 01 February 2009
Abstract
Abstract

The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.

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[5]L. K. Forbes and G. C. Hocking , “On the computation of steady axi-symmetric withdrawal from a two-layer fluid”, Computers and Fluids 32 (2003) 385401.

[11]G. C. Hocking , “Withdrawal from two-layer fluid through line sink”, J. Hydr Engng ASCE 117 (1991) 800805.

[17]J. Imberger and P. F. Hamblin , “Dynamics of lakes, reservoirs and cooling ponds”, Ann. Rev. Fluid Mech. 14 (1982) 153187.

[18]G. H. Jirka and D. S. Katavola , “Supercritical withdrawal from two-layered fluid systems. Part 2. Three-dimensional flow into a round intake”, J. Hyd. Res. 17 (1979) 5362.

[21]T. Miloh and P. A. Tyvand , “Nonlinear transient free-surface flow and dip formation due to a point sink”, Phys. Fluids A 5 (1993) 13681375.

[26]T. E. Stokes , G. C. Hocking and L. K. Forbes , “Unsteady free surface flow induced by a line sink”, J. Eng. Math. 47 (2002) 137160.

[29]P. A. Tyvand , “Unsteady free-surface flow due to a line source”, Phys. Fluids A 4 (1992) 671676.

[31]I. R. Wood and K. K. Lai , “Selective withdrawal from a two-layered fluid”, J. Hyd. Res. 10 (1972) 475496.

[33]C. S. Yih , Stratified flows (Academic Press, New York, 1980).

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The ANZIAM Journal
  • ISSN: 1446-1811
  • EISSN: 1446-8735
  • URL: /core/journals/anziam-journal
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