Size distributions of suspended particles in open channel flow over bed materials

A mathematical model is proposed to predict the removal of dissolved organic substances and the consumption of dissolved oxygen by attached biofilms in an open-channel flow. The model combines the biofilm equations with the conventional Streeter–Phelps type equations of river water quality by considering the mass transfer of organics and oxygen in the river water through the diffusion layer into the biofilm. It is assumed that the diffusion and reaction within the biofilm are of steady-state, and follow Monod kinetics. The model is solved numerically with a trial-and-error method. The simulation results of the model for an ideal case of river flow and biofilm show that the organic removal rate and oxygen consumption rate caused by the biofilm are greater than that by suspended biomass. The effects of diffusion layer thickness, flow velocity, and biofilm thickness on the change of river water quality are discussed.

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Stability of Horizontal Vortices in Compound Open Channel Flow and Their 3-D Structure.

Doboku Gakkai Ronbunshu ◽

10.2208/jscej.1995.509_131 ◽

1995 ◽

pp. 131-142 ◽

Cited By ~ 1

Author(s):

Syunske Ikeda ◽

Nobuyoshi Murayama ◽

Takeshi Kuga

Keyword(s):

Channel Flow ◽

Open Channel ◽

Open Channel Flow

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A multiple scales analysis of the undular hydraulic jump in turbulent open channel flow

Fluid Dynamics Research ◽

10.1016/s0169-5983(03)00041-8 ◽

2003 ◽

Vol 33 (1-2) ◽

pp. 41-55 ◽

Cited By ~ 10

Author(s):

H Steinrück ◽

W Schneider ◽

W Grillhofer

Keyword(s):

Channel Flow ◽

Hydraulic Jump ◽

Open Channel ◽

Multiple Scales ◽

Open Channel Flow ◽

Multiple Scales Analysis

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Flume experiments on baffle-posts for retarding open channel flow

Journal of Hydraulic Research ◽

10.1080/00221686.2018.1504127 ◽

2019 ◽

Vol 57 (2) ◽

pp. 280-282

Author(s):

Shangtuo Qian ◽

Hui Xu ◽

Jiangang Feng

Keyword(s):

Channel Flow ◽

Open Channel ◽

Open Channel Flow ◽

Flume Experiments

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FLOW RESISTANCE AND TURBULENT STRUCTURE IN OPEN CHANNEL FLOW WITH SUBMERGED VEGETATION

PROCEEDINGS OF HYDRAULIC ENGINEERING ◽

10.2208/prohe.51.703 ◽

2007 ◽

Vol 51 ◽

pp. 703-708

Author(s):

Takayuki TANAKA ◽

Terunori OHMOTO ◽

Toshiyuki TANAKA

Keyword(s):

Channel Flow ◽

Flow Resistance ◽

Open Channel ◽

Open Channel Flow ◽

Turbulent Structure ◽

Submerged Vegetation

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Interaction of buoyant plumes in open-channel flow

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000007165 ◽

1992 ◽

Vol 33 (4) ◽

pp. 451-473

Author(s):

P. J. Wicks

Keyword(s):

Diffusion Equation ◽

Channel Flow ◽

Open Channel ◽

Nonlinear Term ◽

Initial Conditions ◽

Hermite Polynomials ◽

Open Channel Flow ◽

The Other ◽

Buoyant Plumes ◽

Rich Variety

AbstractIn this paper, a model for lateral dispersion in open-channel flow is studied involving a diffusion equation which has a nonlinear term describing the effect of buoyancy. The model is used to investigate the interaction of two buoyant pollutant plumes. An approximate analytic technique involving Hermite polynomials is applied to the resulting PDEs to reduce them to a system of ODEs for the centroids and widths of the two plumes. The ODEs are then solved numerically. A rich variety of behaviour occurs depending on the relative positions, widths and strengths of the initial discharges. It is found that for two plumes of equal strength and width discharged side-by-side, the plumes move apart and the rate of spreading is inhibited by their interaction, whereas when one plume is initially much wider than the other, both plumes tend to drift to the side of the narrower plume. Finally, the PDEs are solved numerically for two sets of initial conditions and a comparison is made with the ODE solutions. Agreement is found to be good.

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