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A numerical investigation of the temperature field in a turbulent flume is presented. We consider the effect of the Prandtl number on the convection velocity of temperature fluctuations in a turbulent boundary layer, and focus also on the effect of the Prandtl number on the connection between the velocity and the temperature fluctuations. Close to the wall, y+<2, convection velocities of the temperature fluctuations decrease with an increase in the Prandtl number, i.e., the scale dependence becomes significantly important. In the region y+<2 the relation of the convection velocity of the temperature fluctuation to that of the velocity fluctuation may be expressed as UcT+=Ucu+Pr−1/3 and Ucq+=Ucu+Pr−1/2 for isothermal and isoflux wall boundary condition, respectively.
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Hetsroni et al. (2004) studied this question.
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