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We perform direct numerical simulations of an unstably stratified turbulentchannel flow to address the effects of buoyancy on the boundary layer dynamicsand mean field quantities. We systematically span a range of parameters in thespace of friction Reynolds number ($Re_{\tau}$) and Rayleigh number ($Ra$). Ourfocus is on deviations from the logarithmic law of the wall due to buoyantmotion. The effects of convection in the relevant ranges are discussedproviding measurements of mean profiles of velocity, temperature and Reynoldsstresses as well as of the friction coefficient. A phenomenological model isproposed and shown to capture the observed deviations of the velocity profilein the log-law region from the non-convective case.

Law of the wall in an unstably stratified turbulent channel flow