Research Article
Aug 1982
Calculation of Secondary Currents in Channel Flow
Authors: Dan Naot and Wolfgang Rodi, M.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 108, Issue 8
Abstract
A model is presented for calculating the flow in channels with turbulence-driven secondary motion, with an emphasis on open channel flow. Algebraic expressions are derived for the Reynolds stresses in the momentum equations for the secondary motion by simplifying modelled Reynolds stress equations. A simple eddy viscosity model is used for the shear stresses in the logitudinal momentum equation. The kinetic energy k, and the dissipation rate ϵ of the turbulent motion appearing in the algebraic and eddy viscosity expressions are determined from transport equations for these quantities. The restricting influence of a free surface on the length scale of turbulence is accounted for by a special free surface boundary condition for ϵ. The resulting set of equations is solved with a marching forward numerical procedure for three-dimensional boundary layers. The model is tested by application to developed two-dimensional closed and open channel flow, closed square duct flow, and flow in open channels of various width-to-depth-ratios. Most features of these flows are simulated well by the model, including the reduction of the eddy viscosity near the free surface and the depression of the velocity maximum below the surface.
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Published In
Journal of the Hydraulics Division
Volume 108 • Issue 8 • August 1982
Pages: 948 - 968
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Aug 1982
Published online: Feb 3, 2021
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Authors
Affiliations
Dan Naot
Visiting Sci., Univ. of Karlsruhe, Karlsruhe, West Germany. Presently Sr. Lect., Technion-Israel Inst. of Tech., Haifa, Israel
Wolfgang Rodi, M.ASCE
Prof., Univ. of Karlsruhe, West Germany
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.