Sr. Clarke et J. Imberger, NONLINEAR EFFECTS IN THE UNSTEADY, CRITICAL WITHDRAWAL OF A STRATIFIED FLUID, Dynamics of atmospheres and oceans, 24(1-4), 1996, pp. 163-171
The evolution of the withdrawal through a line sink of an initially qu
iescent, stratified fluid in a semi-infinite, horizontal duct is inves
tigated in the inviscid, nondiffusive limit. A weakly nonlinear, long-
wave formulation of the problem of critical withdrawal is presented, w
hich is then used to study the critical withdrawal of a two-layer flui
d from a sink at the base of the duct. Solutions for the evolution of
the interfacial shear front are presented and related to the steady so
lutions for the critical withdrawal of a two-layer fluid.