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FORBES, LAWRENCE K. 2016. A simple model of magnetic fields associated with outflow from a source; new orthogonal polynomials. European Journal of Applied Mathematics, Vol. 27, Issue. 04, p. 686.
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. 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.
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. 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.
Fan, Jiahua 2008. Stratified flow through outlets. Journal of Hydro-environment Research, Vol. 2, Issue. 1, p. 3.
Forbes, Lawrence K. Hocking, Graeme C. and Stokes, Tim E. 2008. On starting conditions for a submerged sink in a fluid. Journal of Engineering Mathematics, Vol. 61, Issue. 1, p. 55.
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.
Forbes, Lawrence K. and Hocking, Graeme C. 2007. Unsteady draining flows from a rectangular tank. Physics of Fluids, Vol. 19, Issue. 8, p. 082104.
Forbes, Lawrence K. and Hocking, Graeme C. 2005. Flow due to a sink near a vertical wall, in infinitely deep fluid. Computers & Fluids, Vol. 34, Issue. 6, p. 684.
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.
Forbes, Lawrence K. and Hocking, Graeme C. 2003. On the computation of steady axi-symmetric withdrawal from a two-layer fluid. Computers & Fluids, Vol. 32, Issue. 3, p. 385.
Marghzar, Sh H Montazerin, N and Rahimzadeh, H 2003. Flow field, turbulence and critical condition at a horizontal water intake. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, Vol. 217, Issue. 1, p. 53.
Hocking, G. C. Vanden-Broeck, J.-M. and Forbes, L. K. 2002. A note on withdrawal from a fluid of finite depth through a point sink. The ANZIAM Journal, Vol. 44, Issue. 02, p. 181.
Hocking, G.C. and Vanden-Broeck, J-M. 1998. Withdrawal of a fluid of finite depth through a line sink with a cusp in the free surface. Computers & Fluids, Vol. 27, Issue. 7, p. 797.
Kim, Min-Joon Moon, Hie-Tae Lee, Yong-Bum Choi, Seok-Ki Kim, Yong-Kyun Nam, Ho-Yun and Cho, Mann 1998. A spectral method for free surface flows of inviscid fluids. International Journal for Numerical Methods in Fluids, Vol. 28, Issue. 6, p. 887.
Accurate numerical solutions to the problem of finding the location of the interface between two unconfined regions of fluid of different density during the withdrawal process are presented. Supercritical flows are considered, in which the interface is drawn directly into the sink. As the flow rate is reduced, the interface enters the sink more steeply, until the solution method breaks down just before the interface enters the sink vertically from above, and becomes flow from the lower layer only. This lower bound on supercritical flow is compared with the upper bound on single-layer (free surface) flow with good agreement.
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