The relationship between flux coefficient and entrainment ratio in density currents Wells, Mathew Cenedese, Claudia Caulfield, C. P. 2011-02-22T16:49:12Z 2011-06-01T08:25:06Z 2010-12
dc.description Author Posting. © American Meteorological Society, 2010. This article is posted here by permission of American Meteorological Society for personal use, not for redistribution. The definitive version was published in Journal of Physical Oceanography 40 (2010): 2713–2727, doi:10.1175/2010JPO4225.1. en_US
dc.description.abstract The authors explore the theoretical and empirical relationship between the nonlocal quantities of the entrainment ratio E, the appropriately depth- and time-averaged flux coefficient Γ, and the bulk Froude number Fro in density currents. The main theoretical result is that E = 0.125 Γ Fro2(CU3/CL)/cosθ, where θ is the angle of the slope over which the density current flows, CL is the ratio the turbulent length scale to the depth of the density current, and CU is the ratio of the turbulent velocity scale to the mean velocity of the density current. In the case of high bulk Froude numbers Γ Fro−2 and (CU3/CL) = Cϵ 1, so E 0.1, consistent with observations of a constant entrainment ratio in unstratified jets and weakly stratified plumes. For bulk Froude numbers close to one, Γ is constant and has a value in the range of 0.1–0.3, which means that E Fro2, again in agreement with observations and previous experiments. For bulk Froude numbers less than one, Γ decreases rapidly with bulk Froude number, explaining the sudden decrease in entrainment ratios that has been observed in all field and experimental observations. en_US
dc.description.sponsorship Support for MGW was provided by NSERC, the Canadian Foundation for Innovation, the Ontario Research Fund, and the Connaught Committee of the University of Toronto. CPC gratefully acknowledges the hospitality and support of the 2008 Summer Study Program in Geophysical Fluid Dynamics at Woods Hole Oceanographic Institution, where this project was initiated. en_US
dc.format.mimetype application/pdf
dc.identifier.citation Journal of Physical Oceanography 40 (2010): 2713–2727 en_US
dc.identifier.doi 10.1175/2010JPO4225.1
dc.language.iso en_US en_US
dc.publisher American Meteorological Society en_US
dc.subject Density currents en_US
dc.subject Entrainment en_US
dc.subject Fluxes en_US
dc.subject Jets en_US
dc.subject Plumes en_US
dc.title The relationship between flux coefficient and entrainment ratio in density currents en_US
dc.type Article en_US
dspace.entity.type Publication
relation.isAuthorOfPublication 210f0584-eb83-401a-939f-f9017a2d87ff
relation.isAuthorOfPublication 328c3079-a31b-4a8f-b938-c97da13560d7
relation.isAuthorOfPublication 34258ccc-c83e-4877-9134-c236f6bb2cba
relation.isAuthorOfPublication.latestForDiscovery 210f0584-eb83-401a-939f-f9017a2d87ff
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
1.38 MB
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
1.89 KB
Item-specific license agreed upon to submission