2007Journal of Hydrodynamics(Ser.A)Requires access

An eddy viscosity model of lateral velocity distribution for uniform open channel flows

Yilin Zhou

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Abstract

In order to investigate the characteristic of open channel flow,a mathematical model is developed to compute the lateral velocity distribution in open channel flow.In this paper,a formula oil the lateral eddy viscosity with lateral shear action is derived from the dimensional analysis method and the experimental data.Based on the discretization of the momentum equation of uniform flow using the finite difference method,a mathematical model of the lateral velocity distribution in open channel flow is established.The model has the advantages of simple and fast computation with high accuracy.The computation is hardly influenced by the form of the lateral eddy viscosity and the cross-section shape of open channel.The mathematical model is verified by the experimental data of the open channel flows.It shows that the results of the mathematical model are in good agreement with the observation data,and has higher theoretical meanings and practical values.

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What this paper is about

In order to investigate the characteristic of open channel flow,a mathematical model is developed to compute the lateral velocity distribution in open channel flow.In this paper,a formula oil the lateral eddy viscosity with lateral shear action is derived from the dimensional analysis method and the experimental data.Based on the discretization of the momentum equation of uniform flow using the finite difference method,a mathematical model of the lateral velocity distribution in open channel flow is established.The model has the advantages of simple and fast computation with high accuracy.The computation is hardly influenced by the form of the lateral eddy viscosity and the cross-section shape of open channel.The mathematical model is verified by the experimental data of the open channel flows.It shows that the results of the mathematical model are in good agreement with the observation data,and has higher theoretical meanings and practical values.

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Available abstract

In order to investigate the characteristic of open channel flow,a mathematical model is developed to compute the lateral velocity distribution in open channel flow.In this paper,a formula oil the lateral eddy viscosity with lateral shear action is derived from the dimensional analysis method and the experimental data.Based on the discretization of the momentum equation of uniform flow using the finite difference method,a mathematical model of the lateral velocity distribution in open channel flow is established.The model has the advantages of simple and fast computation with high accuracy.The computation is hardly influenced by the form of the lateral eddy viscosity and the cross-section shape of open channel.The mathematical model is verified by the experimental data of the open channel flows.It shows that the results of the mathematical model are in good agreement with the observation data,and has higher theoretical meanings and practical values.

Key concepts: Open-channel flow, Discretization, Mechanics, Energy–depth relationship in a rectangular channel, Computation, Channel (broadcasting), Turbulence modeling, Flow (mathematics)

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