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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