Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

A stochastic approach to model bottom boundary conditions and compute efficiency in a settling tank

Abstract : When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternate (and equivalent) description to the basic advection-diffusion equation for the concentration of micro pollutant consists in modelling the micro pollutant particles' trajectories as a diffusion stochastic process. Indeed, the density of this latter satisfies the same Pde as the advectiondiffusion equation. Our emphasis here is on the computation of the so called tank efficiency and on the bottom boundary conditions. We claim that our interpretation in terms of a diffusion process helps to enlighten the choice of the appropriate mathematical boundary conditions. What is more, we introduce a scouring parameter and give its range as well as its physical interpretation. © Springer-Verlag 1997.
Type de document :
Article dans une revue
Liste complète des métadonnées

https://hal-enpc.archives-ouvertes.fr/hal-00779577
Contributeur : Ist Enpc Connectez-vous pour contacter le contributeur
Soumis le : mardi 22 janvier 2013 - 12:53:50
Dernière modification le : vendredi 11 juin 2021 - 14:12:02

Identifiants

  • HAL Id : hal-00779577, version 1

Collections

Citation

J.Ph. Chancelier, Michel de Lara, F. Pacard. A stochastic approach to model bottom boundary conditions and compute efficiency in a settling tank. Stochastic Hydrology and Hydraulics, Springer Verlag (Germany), 1997, 11 (6), pp.449. ⟨hal-00779577⟩

Partager

Métriques

Consultations de la notice

203