Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth
                    
                        
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A note on withdrawal from a two-layer fluid through a line sink in a porous medium
The steady response of the free surface of a fluid in a porous medium is considered during extraction of the fluid through a line sink. A conformal mapping approach is used to derive exact solutions to a family of problems in which the line sink is place at the apex of a wedge-shaped impermeable boundary, including the limiting cases of an ubounded aquifer and a flat-bottomed aquifer of finite ...
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Equations are derived to approximately describe the propagation of small amplitude surface and interfacial waves across small irregularities in depth in a two-layer fluid. When the irregularities are sinusoidal, Bragg interaction effects between an incident surface wave and the bottom corrugations can lead to a large-amplitude reflected interfacial wave or a large-amplitude transmitted interfac...
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Abstract Trapped-mode frequencies are computed for submerged, horizontal, circular cylinders in a two-layer fluid consisting of a finite layer bounded above by a free surface and below by a infinite layer of greater density. Two separate cases are considered. First we consider waves which propagate along the top of a single cylinder at frequencies below the cut-off for wave propagation away fro...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2001
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112000002780