Abstract
Turbulent thermal convection in a horizontal fluid layer system heated from below is analytically examined by using a turbulence closure model. Self similarity functional forms for mean temperature as well as for turbulent terms are assumed to get their solutions. Two types of scaling are proposed; one is concerned with external parameters based on the convective layer depth; the other is so-called internal parameter scaling which are based on molecular processes in the conductive sub-layer. The solutions are compared with experimental results to verify our analysis.