Unsteady average heat exchange between a wall and a turbulent flow - The case of an isovolumic fluid at moderate or large Prandtl number

Calculation of the harmonic response of the heat flux at the wall as a function of the temperature of the wall and the core of the flow on the basis of a model of turbulent flow near a wall that postulates the existence of a layer that is renewed in random fashion in space and time. Renewal consists in the sudden ejection from this layer of packets of fluid that are immediately replaced by fresh fluid. It is assumed then that the layer is the seat of viscous flow and heat transfer by conduction, of which the principal parameters are of random nature. Consideration of the statistical distribution of these parameters yields the solution for the frequency response of the heat flux at the wall.