The influence of rotation on shelf convection

P. Jacobs, Gregory Ivey

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

A series of laboratory experiments was conducted to study the flows and exchange processes generated by turbulent convection in a shallow fluid with a combination of a shelf and slope topography in the presence of rotation. For convenience, heat loss at the ocean surface was modelled by heating from below with a buoyancy flux B-0 applied to a circular portion (of radius R) of the base of a cylindrical tank, rotating with angular frequency f. The working volume was closed by an inverted model of a shelf and slope topography (with slope angle phi), creating a fluid height H between the forced surface and the shelf. After the initiation of the buoyancy forcing, the average temperature in the actively convecting region initially increases linearly with time but slows down once a lateral heat flux is generated by baroclinic instability at the edge of the convecting region. The wavelength of this instability is described by lambda = (5.9 +/- 0.3) R,, with R, the Rossby radius of deformation, defined by (g'H)(1/2)/f, where g' is the reduced gravity based on the density difference between the convecting and ambient fluids. A steady state is eventually reached when the lateral heat flux balances the (vertical) heat flux due to the forcing. The results differ from previous work in either unbounded or in constant-depth environments. It is shown that the steady-state density anomaly between the convecting and ambient regions is given by g(f)' (1.6+/-0.2) (B(0)f)(1/2) (R/H), while the time to reach this steady state is tau = (3.1+/-0.5) (f/B-0)(1/2) R. The eddy velocity, characterizing the lateral exchange process, is given by v(flux) approximate to 1.2 (B-0/f)(1/2). These results are consistent with the description of the lateral exchange process by eddy diffusion (rather than advection). Comparisons are made between the experimental results and field observations of convection events.
Original languageEnglish
Pages (from-to)23-48
JournalJournal of Fluid Mechanics
Volume369
Publication statusPublished - 1998

Fingerprint

Dive into the research topics of 'The influence of rotation on shelf convection'. Together they form a unique fingerprint.

Cite this