Small-Scale Spectrum of a Scalar Field in Water: The Batchelor and Kraichnan Models
dc.contributor.author
dc.date.accessioned
2013-10-17T10:19:18Z
dc.date.available
2013-10-17T10:19:18Z
dc.date.issued
2011
dc.identifier.issn
0022-3670
dc.identifier.uri
dc.description.abstract
The theoretical models of Batchelor and Kraichnan, which account for the smallest scales of a scalar field passively advected by a turbulent fluid (Prandtl . 1), have been validated using shear and temperature profiles measured with a microstructure profiler in a lake. The value of the rate of dissipation of turbulent kinetic energy « has been computed by fitting the shear spectra to the Panchev and Kesich theoretical model and the one-dimensional spectra of the temperature gradient, once « is known, to the Batchelor and Kraichnan models and from it determining the value of the turbulent parameter q. The goodness of the fit between the spectra corresponding to these models and the measured data shows a very clear dependence on the degree of isotropy, which is estimated by the Cox number. The Kraichnan model adjusts better to themeasured data than the Batchelor model, and the values of the turbulent parameter that better fit the experimental data are qв 5 4.4 ± 0.8 and qK 5 7.9± 2.5 for Batchelor and Kraichnan, respectively, when Cox ≥ 50. Once the turbulent parameter is fixed, a comparison of the value of « determined from fitting the thermal gradient spectra to the value obtained after fitting the shear spectra shows that the Kraichnan model gives a very good estimate of the dissipation, which the Batchelor model underestimates
dc.description.sponsorship
This research was developed under Spanish Government Project FIS2008-03608. We would also like to thank Francesc Nogue´ (University of Girona) for his electronic engineering support and Joan Corominas (Banyoles) for his sailing support
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
American Meteorological Society
dc.relation
info:eu-repo/grantAgreement/MICINN//FIS2008-03608/ES/MEDIDAS PARA LA DESCRIPCION Y MODELIZACION DE LA MEZCLA TURBULENTA/
dc.relation.isformatof
Reproducció digital del document publicat a: http://dx.doi.org/10.1175/JPO-D-11-025.1
dc.relation.ispartof
© Journal of Physical Oceanography, 2011, vol. 41, núm. 11, p. 2155-2167
dc.relation.ispartofseries
Articles publicats (D-F)
dc.rights
Tots els drets reservats
dc.subject
dc.title
Small-Scale Spectrum of a Scalar Field in Water: The Batchelor and Kraichnan Models
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
015212
dc.contributor.funder
dc.relation.ProjectAcronym
dc.identifier.eissn
1520-0485