Application of Rayleigh-Ritz method to forced convection turbulent heat transfer

Document Type

Article

Publication Date

6-1981

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

An analytical model to predict heat transfer rates to an incompressible fluid in turbulent flow, with fully developed velocity profile, between a heated plate and a parallel, insulated plate is developed. The model employs van Driest's mixing length expression near the wall, a constant eddy diffusivitiy in the core and a constant turbulent Prandtl number. An approximate solution obtained by employing Rayleigh-Ritz method is shown to compare well with the 'exact' solution obtained by numerical integration of the differential equations. The results are compared with the available experimental data and analytical solutions.

Publication Title

Wärme- und Stoffübertragung

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