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We study numerically the dependence of heat transport on the maximum velocityand shear rate of physical circulating flows, which are prescribed to have thekey characteristics of the large-scale mean flow observed in turbulentconvection. When the side-boundary thermal layer is thinner than the viscousboundary layer, the Nusselt number (Nu), which measures the heat transport,scales with the normalized shear rate to an exponent 1/3. On the other hand,when the side-boundary thermal layer is thicker, the dependence of Nu on thePeclet number, which measures the maximum velocity, or the normalized shearrate when the viscous boundary layer thickness is fixed, is generally not apower law. Scaling behavior is obtained only in an asymptotic regime. Therelevance of our results to the problem of heat transport in turbulentconvection is also discussed.Comment: 7 pages, 7 figures, submitted to European Physical Journal

Dependence of heat transport on the strength and shear rate of prescribed circulating flows