Browsing by Author "Hocking, Graeme Charles"

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On starting conditions for a submerged sink in a fluid

Forbes, Lawrence K.; Stokes, Tim E.; Hocking, Graeme Charles (2008)

Withdrawal of a fluid through an isolated line sink (for planar flow) or a point sink (for axi-symmetric flow in three dimensions) is considered. A linearized solution is presented in both cases, under the assumption that ...
A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink

Hocking, Graeme Charles; Stokes, Tim E.; Forbes, Lawrence K. (2010)

The time varying flow in which fluid is withdrawn from a reservoir through a point sink of variable strength beneath a free surface is considered. Asymptotic techniques are used to derive an approximate solution to the ...
Steady free surface flows induced by a submerged ring source or sink

Stokes, Tim E.; Hocking, Graeme Charles; Forbes, Lawrence K. (Cambridge University Press, 2012)

The steady axisymmetric flow induced by a ring sink (or source) submerged in an unbounded inviscid fluid is computed and the resulting deformation of the free surface is obtained. Solutions are obtained analytically in the ...
Unsteady flow induced by a withdrawal point beneath a free surface

Stokes, Tim E.; Hocking, Graeme Charles; Forbes, Lawrence K. (2005)

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 ...

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