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The temperature spectrum generated by frictional heating in isotropic turbulence

Published online by Cambridge University Press:  28 March 2014

Wouter J. T. Bos*
Affiliation:
LMFA-CNRS, Université de Lyon, Ecole Centrale de Lyon, 69134 Ecully, France
*
Email address for correspondence: wouter.bos@ec-lyon.fr

Abstract

In every turbulent flow with non-zero viscosity, heat is generated by viscous friction. This heat is then mixed by the velocity field. We consider how heat fluctuations generated in this way are injected and distributed over length scales in isotropic turbulence. A triadic closure is derived and numerically integrated. It is shown how the heat fluctuation spectrum depends on the Reynolds and Prandtl numbers.

Type
Papers
Copyright
© 2014 Cambridge University Press 

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