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Calculation of turbulence-driven secondary motion in non-circular ducts

Published online by Cambridge University Press:  20 April 2006

A. O. Demuren  and
W. Rodi
A. O. Demuren
Affiliation:
Institut für Hydromechanik, University of Karlsruhe, Karlsruhe. F.R. Germany
W. Rodi
Affiliation:
Institut für Hydromechanik, University of Karlsruhe, Karlsruhe. F.R. Germany
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Abstract

Experiments on and calculation methods for flow in straight non-circular ducts involving turbulence-driven secondary motion are reviewed. The origin of the secondary motion and the shortcomings of existing calculation methods are discussed. A more refined model is introduced, in which algebraic expressions are derived for the Reynolds stresses in the momentum equations for the secondary motion by simplifying the modelled Reynolds-stress equations of Launder, Reece & Rodi (1975), while a simple eddy-viscosity model is used for the shear stresses in the axial momentum equation. The kinetic energy k and the dissipation rate ε of the turbulent motion which appear in the algebraic and the eddy-viscosity expressions are determined from transport equations. The resulting set of equations is solved with a forward-marching numerical procedure for three-dimensional shear layers. The model, as well as a version proposed by Naot & Rodi (1982), is tested by application to developing flow in a square duct and to developed flow in a partially roughened rectangular duct investigated experimentally by Hinze (1973). In both cases, the main features of the mean-flow and the turbulence quantities are simulated realistically by both models, but the present model underpredicts the secondary velocity while the Naot-Rodi model tends to overpredict it.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 140 , March 1984 , pp. 189 - 222
Copyright
© 1984 Cambridge University Press

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