TY - JOUR
T1 - Nonlinear effects in the unsteady, critical withdrawal of a stratified fluid
AU - Clarke, S. R.
AU - Imberger, J.
PY - 1996/1
Y1 - 1996/1
N2 - The evolution of the withdrawal through a line sink of an initially quiescent, stratified fluid in a semi-infinite, horizontal duct is investigated in the inviscid, nondiffusive limit. A weakly nonlinear, long-wave formulation of the problem of critical withdrawal is presented, which is then used to study the critical withdrawal of a two-layer fluid 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 solutions for the critical withdrawal of a two-layer fluid.
AB - The evolution of the withdrawal through a line sink of an initially quiescent, stratified fluid in a semi-infinite, horizontal duct is investigated in the inviscid, nondiffusive limit. A weakly nonlinear, long-wave formulation of the problem of critical withdrawal is presented, which is then used to study the critical withdrawal of a two-layer fluid 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 solutions for the critical withdrawal of a two-layer fluid.
UR - http://www.scopus.com/inward/record.url?scp=0029671614&partnerID=8YFLogxK
U2 - 10.1016/0377-0265(95)00445-9
DO - 10.1016/0377-0265(95)00445-9
M3 - Article
AN - SCOPUS:0029671614
VL - 24
SP - 163
EP - 171
JO - Dynamics of Atmospheres and Oceans
JF - Dynamics of Atmospheres and Oceans
SN - 0377-0265
IS - 1-4
ER -