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Journal Articles Water Science and Technology Year : 1998

A stochastic approach to modelling solid transport in settling tanks

G. Chebbo
  • Function : Author
N. Forgues
  • Function : Author
E. Lucas-Aiguier
  • Function : Author
S. Berthebaud
  • Function : Author

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.

Dates and versions

hal-00779523 , version 1 (22-01-2013)

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G. Chebbo, N. Forgues, E. Lucas-Aiguier, S. Berthebaud. A stochastic approach to modelling solid transport in settling tanks. Water Science and Technology, 1998, 37 (1), pp.277. ⟨10.1016/S0273-1223(97)00779-8⟩. ⟨hal-00779523⟩
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