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Ministerio de EducaciÃ³n y Ciencia (Espanya)  
SÃ¡nchez MartÃn, Xavier
Roget, Elena Planella MoratÃ³, JesÃºs Forcat Torras, Francesc 

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 Â« has been computed by fitting the shear spectra to the Panchev and Kesich theoretical model and the onedimensional spectra of the temperature gradient, once Â« 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 qÐ² 5 4.4 Â± 0.8 and qK 5 7.9Â± 2.5 for Batchelor and Kraichnan, respectively, when Cox â‰¥ 50. Once the turbulent parameter is fixed, a comparison of the value of Â« 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 This research was developed under Spanish Government Project FIS200803608. We would also like to thank Francesc NogueÂ´ (University of Girona) for his electronic engineering support and Joan Corominas (Banyoles) for his sailing support 

http://hdl.handle.net/2072/294866  
eng  
American Meteorological Society  
Tots els drets reservats  
TurbulÃ¨ncia
Turbulence DinÃ mica de fluids Fluid dynamics 

SmallScale Spectrum of a Scalar Field in Water: The Batchelor and Kraichnan Models  
info:eurepo/semantics/article  
Recercat 