A theoretical model for horizontal convection at high Rayleigh number
dc.contributor.author | Hughes, Graham | |
dc.contributor.author | Griffiths, Ross | |
dc.contributor.author | Mullarney, J | |
dc.contributor.author | Peterson, William H | |
dc.date.accessioned | 2015-12-08T22:35:45Z | |
dc.date.issued | 2007 | |
dc.date.updated | 2015-12-08T09:44:44Z | |
dc.description.abstract | We present a simple flow model and solution to describe 'horizontal convection' driven by a gradient of temperature or heat flux along one horizontal boundary of a rectangular box. Following laboratory observations of the steady-state convection, the model is based on a localized vertical turbulent plume from a line or point source that is located anywhere within the area of the box and that maintains a stably stratified interior. In contrast to the 'filling box' process, the convective circulation involves vertical diffusion in the interior and a stabilizing buoyancy flux distributed over the horizontal boundary. The stabilizing flux forces the density distribution to reach a steady state. The model predictions compare well with previous laboratory data and numerical solutions. In the case of a point source for the plume (the case which best mimics the localized sinking in the large-scale ocean overturning) the thermal boundary layer is much thicker than that given by the two-dimensional boundary layer scaling of H. T. Rossby (Tellus, vol. 50, 1965, p. 242). | |
dc.identifier.issn | 0022-1120 | |
dc.identifier.uri | http://hdl.handle.net/1885/34990 | |
dc.publisher | Cambridge University Press | |
dc.source | Journal of Fluid Mechanics | |
dc.subject | Keywords: Boundary layers; Buoyancy; Diffusion; Heat flux; Mathematical models; Numerical methods; Thermal gradients; Turbulence; Convective circulation; Horizontal convection; Rayleigh number; Heat convection; Boundary layers; Buoyancy; Diffusion; Heat convection; | |
dc.title | A theoretical model for horizontal convection at high Rayleigh number | |
dc.type | Journal article | |
local.bibliographicCitation.lastpage | 276 | |
local.bibliographicCitation.startpage | 251 | |
local.contributor.affiliation | Hughes, Graham, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Griffiths, Ross, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Mullarney, J, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Peterson, William H, No formal affiliation | |
local.contributor.authoremail | u8912812@anu.edu.au | |
local.contributor.authoruid | Hughes, Graham, u8912812 | |
local.contributor.authoruid | Griffiths, Ross, u8300081 | |
local.contributor.authoruid | Mullarney, J, u4024764 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 040403 - Geophysical Fluid Dynamics | |
local.identifier.ariespublication | u4353633xPUB119 | |
local.identifier.citationvolume | 581 | |
local.identifier.doi | 10.1017/S0022112007005630 | |
local.identifier.scopusID | 2-s2.0-34548173727 | |
local.identifier.uidSubmittedBy | u4353633 | |
local.type.status | Published Version |
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