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Secondary Currents in Rectangular Open Channel Flows

Author(s): W. Czernuszenko.; A. Rylov

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Keywords: Open channels; Turbulence; Turbulent stresses; Mathematical model; Numerical simulations

Abstract: A model of the secondary currents of Prandtl’s second kind, in a rectangular, open channel flow is presented. It comprises of the Reynolds equations and a simple turbulence model for Reynolds stresses. This simple model describes the shear and normal turbulent stresses separately. The turbulent stress tensor is decomposed into two tensors: the shear stress and the normal turbulent stress tensor. The shear turbulent stress tensor is described by three-dimensional generalization of the Prandtl’s mixing length hypothesis, and components of the normal turbulent stresses are taken from the measurements. The Reynolds equations together with the simple model are solved for prediction of three-dimensional turbulent flows in rectangular, open channels. The well-known Patankar-Spalding algorithm was used for solving these equations. The results of numerical simulations i. e. the secondary currents at the cross-section are presented for three different structures of turbulence.

DOI:

Year: 1999

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