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

    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.


    HOCKING, G. C. and ZHANG, H. 2014. A NOTE ON AXISYMMETRIC SUPERCRITICAL CONING IN A POROUS MEDIUM. The ANZIAM Journal, Vol. 55, Issue. 04, p. 327.


    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.


    Lee, Fong-Zuo Lai, Jihn-Sung Tan, Yih-Chi and Sung, Chia-Chi 2014. Turbid density current venting through reservoir outlets. KSCE Journal of Civil Engineering, Vol. 18, Issue. 2, p. 694.


    HOLMES, R. J. HOCKING, G. C. FORBES, L. K. and BAILLARD, N. Y. 2013. Waveless subcritical flow past symmetric bottom topography. European Journal of Applied Mathematics, Vol. 24, Issue. 02, p. 213.


    Hocking, G. C. and Zhang, H. 2009. Coning during withdrawal from two fluids of different density in a porous medium. Journal of Engineering Mathematics, Vol. 65, Issue. 2, p. 101.


    Zhang, Hong Hocking, Graeme C. and Seymour, Brian 2009. Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer. Advances in Water Resources, Vol. 32, Issue. 12, p. 1703.


    Hsu, Shaohua Marko Liu, Chien-Jung and Yu, Wei-Sheng 2008. Entry angle at a line sink during withdrawal from a two-layer flow. Advances in Water Resources, Vol. 31, Issue. 3, p. 438.


    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.


    Stokes, T. E. Hocking, G. C. and Forbes, L. K. 2005. Unsteady flow induced by a withdrawal point beneath a free surface. The ANZIAM Journal, Vol. 47, Issue. 02, p. 185.


    Hocking, G.C. and Forbes, L.K. 2004. The lens of freshwater in a tropical island––2d withdrawal. Computers & Fluids, Vol. 33, Issue. 1, p. 19.


    Yu, Wei-Sheng Hsu, Shaohua Marko and Fan, Kan-Long 2004. Experiments on Selective Withdrawal of a Codirectional Two-Layer Flow through a Line Sink. Journal of Hydraulic Engineering, Vol. 130, Issue. 12, p. 1156.


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  • Journal of Fluid Mechanics, Volume 428
  • February 2001, pp. 333-348

Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth

  • G. C. HOCKING (a1) and L. K. FORBES (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112000002780
  • Published online: 01 February 2001
Abstract

The steady response of a fluid consisting of two regions of different density, the lower of which is of finite depth, is considered during withdrawal. Super-critical flows are considered in which water from both layers is being withdrawn, meaning that the interface is drawn down directly into the sink. The results indicate that if the flow rate is above some minimum, the angle of entry of the interface depends more strongly on the relative depth of the sink than on the flow rate. This has quite dramatic consequences for the understanding of selective withdrawal from layered fluids.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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