A stochastic approach to modelling solid transport in settling tanks

Ghassan Chebbo; Nicolas Forgues; Emmanuelle Lucas-Aiguier; Stéphane Berthebaud

doi:10.1016/S0273-1223(97)00779-8

A stochastic approach to modelling solid transport in settling tanks

Ghassan Chebbo
, Nicolas Forgues
, Emmanuelle Lucas-Aiguier
, Stéphane Berthebaud

Université Paris Est, ENPC LIGM, IMAGINE

Research output: Contribution to journal › Conference article › peer-review

Abstract

Dispersion and settling models for suspended solids (SS) in turbulent flow are in the majority of cases Eulerian and deterministic. They simulate SS transport using a convection-diffusion equation. When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternative (or equivalent) description of the basic convection-diffusion equation for the concentration of suspended solids consists in modelling the particles trajectories as a stochastic diffusion process. This paper has two aims, firstly to present the proposed stochastic approach and secondly to apply this new method to the calculation of a settling tank's efficiency.

Original language	English
Pages (from-to)	277-284
Number of pages	8
Journal	Water Science and Technology
Volume	37
Issue number	1
DOIs	https://doi.org/10.1016/S0273-1223(97)00779-8
Publication status	Published - 18 Feb 1998
Event	Proceedings of the 1997 2nd IAWQ International Conference on the Sewer as a Physical, Chemical and Biological Reactor - Aalborg, Denmark Duration: 25 May 1997 → 28 May 1997

Keywords

Boundary conditions
Efficiency
Modelling
Settling tanks
Sewer systems
Solid transport
Turbulent flow

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10.1016/S0273-1223(97)00779-8

Cite this

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title = "A stochastic approach to modelling solid transport in settling tanks",

abstract = "Dispersion and settling models for suspended solids (SS) in turbulent flow are in the majority of cases Eulerian and deterministic. They simulate SS transport using a convection-diffusion equation. When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternative (or equivalent) description of the basic convection-diffusion equation for the concentration of suspended solids consists in modelling the particles trajectories as a stochastic diffusion process. This paper has two aims, firstly to present the proposed stochastic approach and secondly to apply this new method to the calculation of a settling tank's efficiency.",

keywords = "Boundary conditions, Efficiency, Modelling, Settling tanks, Sewer systems, Solid transport, Turbulent flow",

author = "Ghassan Chebbo and Nicolas Forgues and Emmanuelle Lucas-Aiguier and St{\'e}phane Berthebaud",

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doi = "10.1016/S0273-1223(97)00779-8",

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TY - JOUR

T1 - A stochastic approach to modelling solid transport in settling tanks

AU - Chebbo, Ghassan

AU - Forgues, Nicolas

AU - Lucas-Aiguier, Emmanuelle

AU - Berthebaud, Stéphane

PY - 1998/2/18

Y1 - 1998/2/18

N2 - Dispersion and settling models for suspended solids (SS) in turbulent flow are in the majority of cases Eulerian and deterministic. They simulate SS transport using a convection-diffusion equation. When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternative (or equivalent) description of the basic convection-diffusion equation for the concentration of suspended solids consists in modelling the particles trajectories as a stochastic diffusion process. This paper has two aims, firstly to present the proposed stochastic approach and secondly to apply this new method to the calculation of a settling tank's efficiency.

AB - Dispersion and settling models for suspended solids (SS) in turbulent flow are in the majority of cases Eulerian and deterministic. They simulate SS transport using a convection-diffusion equation. When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternative (or equivalent) description of the basic convection-diffusion equation for the concentration of suspended solids consists in modelling the particles trajectories as a stochastic diffusion process. This paper has two aims, firstly to present the proposed stochastic approach and secondly to apply this new method to the calculation of a settling tank's efficiency.

KW - Boundary conditions

KW - Efficiency

KW - Modelling

KW - Settling tanks

KW - Sewer systems

KW - Solid transport

KW - Turbulent flow

UR - https://www.scopus.com/pages/publications/0031909726

U2 - 10.1016/S0273-1223(97)00779-8

DO - 10.1016/S0273-1223(97)00779-8

M3 - Conference article

AN - SCOPUS:0031909726

SN - 0273-1223

VL - 37

SP - 277

EP - 284

JO - Water Science and Technology

JF - Water Science and Technology

IS - 1

T2 - Proceedings of the 1997 2nd IAWQ International Conference on the Sewer as a Physical, Chemical and Biological Reactor

Y2 - 25 May 1997 through 28 May 1997

ER -

A stochastic approach to modelling solid transport in settling tanks

Abstract

Keywords

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