A surface renewal/classical analysis of turbulent convection heat transfer

The surface-renewal model of wall turbulence is coupled with a classical eddy-diffusivity representation of the turbulent core for fully developed, fully turbulent, constant-property pipe flow. The analysis provides predictions for velocity and temperature distributions and friction factor and Nusselt number which are compatible with experimental data and standard empirical correlations. Predictions are also developed for epsilon (m) and Pr(t) for the inner region which are consistent with recent experimental data. The chief benefits of this approach are felt to include the strong physical basis for the underlying model of wall turbulence, the low level of empiricism, and the potential of generalization. It is hoped that this analysis will provide impetus for formal inclusion of the surface-renewal modeling approach in modern numerical-computation schemes (including eddy-diffusivity, one-equation, or two-equation models for the turbulent core) in analyzing complex turbulent-convection heat-transfer problems.