A Mathematical Note on Kawase's Study of the Deep-Ocean Circulation

Abstract

Lamont-Doherty Geol. Obs., Columbia Univ., Palisades, NY 10964, USA J (Journal-Article) M (Marine) Kawase (1987) recently presented an enlightening extension of the celebrated but underutilized Stommel-Arons model of the deep circulation. The principal change from that by now classical formulation is the replacement of a prescribed upwelling at mid-depth with one parameterized in terms of the layer thickness determined by the flow. The purpose of the present notes is to offer a succinct and nearly exact solution as a replacement for the approximate and elaborate mathematical development in Kawase's paper. It is hoped that this will make the original more accessible and more amendable to additional applications. The physical formulation and justification, along with a cogent interpretation of the results may be found in the original and will not be reprised here ASFA 2: Ocean Technology, Policy and Non Living Resources (Q2) 2051549 --...