Abstract
The cascade scaling properties of a passive scalar, here temperature, in turbulence are studied. Firstly, \(\delta {{u}_{\ell }}\delta \theta _{\ell }^{2}/\ell \sim {{N}_{\ell }} \) is proposed as a statistical advection-diffusion balance at scale \(\ell\), between the scalar dissipation rate \({{\rm N}_\ell }\) and the advective flux \(\delta u\ell \delta \theta _\ell ^2/\ell\), of thermal energy. This reasoning points out a statistical similarity between kinetic and thermal energy fluxes.
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Ciliberto, S., Leveque, E., Baudet, C., Ruiz-Chavarria, G. (1999). Scaling laws of a passive scalar energy flux in fully developed turbulence. In: Gyr, A., Kinzelbach, W., Tsinober, A. (eds) Fundamental Problematic Issues in Turbulence. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8689-5_30
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DOI: https://doi.org/10.1007/978-3-0348-8689-5_30
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