Asymptotic theory of heat transfer in two dimensional turbulent boundary layers

Abstract

We study the heat transfer in the layer plane boundary of an incompressible fluid when the Reynolds number is large. It is assumed that the laminar Prandtl number is of order unity. The analysis is based on the system under-determined equations and on the idea that the flow in the boundary layer is divided into two regions. Employec method is a combination of asymptotic expansions and asymptotic assumptions that describes the dominant forces and the mechanism of energy transfer. Because these assumptions are not assumptions finished, they impose no relationship between the quantities determined by the mean flow and those determined by the terms of Reynolds. The present analysis leads to the laws for the temperature profile corresponding to the law of temperature distribution near the wall, logarithmic law and lack of temperature.