NONLINEAR EFFECTS IN THE UNSTEADY, CRITICAL WITHDRAWAL OF A STRATIFIED FLUID

Citation
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
Citations number
14
Categorie Soggetti
Oceanografhy,"Metereology & Atmospheric Sciences","Geochemitry & Geophysics
ISSN journal
03770265
Volume
24
Issue
1-4
Year of publication
1996
Pages
163 - 171
Database
ISI
SICI code
0377-0265(1996)24:1-4<163:NEITUC>2.0.ZU;2-B
Abstract
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.