Journal of Fluid Mechanics

Supercritical withdrawal from a two-layer fluid through a line sink

G. C.  Hocking a1
a1 School of Mathematics and Physical Science, Murdoch University, Murdoch, Western Australia, 6150, Australia

Article author query
hocking gc   [Google Scholar] 


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.

(Published Online April 26 2006)
(Received September 27 1993)
(Revised March 21 1995)