ISSN Online: 2377-424X
ISBN Print: 0-89116-559-2
International Heat Transfer Conference 8
HEAT TRANSFER ACROSS THE CONSTANT PROPERTY TURBULENT BOUNDARY LAYER
Resumo
The partial differential form of the thermal energy equation for steady on the average constant property, turbulent boundary layer type flow is considered in inner variables, x+, у+, u+, and T+. In the viscous portion of the inner layer, neglect of the convective transport terms, combined with an eddy diffusivity model constructed with the aid of Spalding's inverse law of the wall, allows the derivation of an analytical form of the thermal law of the wall for this region. In the remaining overlap and outer, or wakelike region, the similarity argument of von Karman establishes the analytical form of the combined thermal law of the wall and wake which, when evaluated at the edge of the thermal boundary layer, gives the law for the local Stanton number in terms of the thickness of the thermal boundary layer. Results of the analysis are compared with experimental flat plate Nusselt number data and indicate good agreement. In particular, the agreement at high Prandtl numbers and in the very high Reynolds number range, two areas in which previously available analyses and data correlations are usually weak, is considered to be very good.