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The effect of rotation on the boundary layers (BLs) in a Rayleigh-Benard (RB)system at a relatively low Rayleigh number, i.e. $Ra = 4\times10^7$, is studiedfor different Pr by direct numerical simulations and the results are comparedwith laminar BL theory. In this regime we find a smooth onset of the heattransfer enhancement as function of increasing rotation rate. We study thisregime in detail and introduce a model based on the Grossmann-Lohse theory todescribe the heat transfer enhancement as function of the rotation rate forthis relatively low Ra number regime and weak background rotation $Ro\gtrsim1$. The smooth onset of heat transfer enhancement observed here is in contrastto the sharp onset observed at larger $Ra \gtrsim 10^8$ by Stevens {\it{etal.}} [Phys. Rev. Lett. {\bf{103}}, 024503, 2009], although only a small shiftin the Ra-Ro-Pr phase space is involved.

Boundary layers in rotating weakly turbulent Rayleigh-Benard convection