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ISSN Online: 2377-424X

International Heat Transfer Conference 3
August, 7-12, 1966, Chicago, USA

APPLICATION OF INTEGRAL DIFFUSION METHOD TO A TURBULENT FLOW

Get access (open in a dialog) DOI: 10.1615/IHTC3.1700
pages 276-284

Abstract

The generalization of the mixing-length theory of the turbulent incompressible flow is considered for the cases when the turbulent stress does not have a gradient expression. In this paper the formulas for turbulent stress tensor and heat flux vector are obtained. For the more private cases such as the turbulent boundary layer and channel flows these expressions are simplified by using the gradient representation, but the eddy diffusivity still keeps its integral representation. In the limiting case the integral diffusion model gives the Prandtl's mixing-length theory.
It is shown that the results obtained are in a satisfactory agreement with the data for the boundary layer and channel flows.
The turbulent Couette flow problem is also considered.