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Journal Articles Water Research Year : 1997

New insights in dynamic modeling of a secondary settler. Dynamical analysis

J.Ph. Chancelier
Michel de Lara
F. Pacard
  • Function : Author

Abstract

A dynamic model of the settling process in the secondary settler of a wastewater treatment plant is given by a nonlinear scalar conservation law for the sludge concentration under the form of a partial differential equation (PDE). A numerical algorithm is given, which also includes a mathematical model of the aeration tank. Theoretical and numerical simulations are then compared with real data. The evolution of the shock corresponding to the rising of a sludge blanket is described by an ordinary differential equation (ODE). Consequently, regulation strategies of the rising of a sludge blanket in case of important water admission to the plant are proposed. We end briefly with two possible extensions. A model with two classes of particles in interaction is introduced to take into account the particle size change, as well as a model giving the distribution of residence times to take into account its effect on the velocity.A dynamic model of the settling process in the secondary settler of a wastewater treatment plant is given by a nonlinear scalar conservation law for the sludge concentration under the form of a partial differential equation (PDE). A numerical algorithm is given, which also includes a mathematical model of the aeration tank. Theoretical and numerical simulations are then compared with real data. The evolution of the shock corresponding to the rising of a sludge blanket is described by an ordinary differential equation (ODE). Consequently, regulation strategies of the rising of a sludge blanket in case of important water admission to the plant are proposed. We end briefly with two possible extensions. A model with two classes of particles in interaction is introduced to take into account the particle size change, as well as a model giving the distribution of residence times to take into account its effect on the velocity.

Dates and versions

hal-00779535 , version 1 (22-01-2013)

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Cite

J.Ph. Chancelier, Michel de Lara, C. Joannis, F. Pacard. New insights in dynamic modeling of a secondary settler. Dynamical analysis. Water Research, 1997, 31 (8), pp.1857. ⟨10.1016/S0043-1354(96)00287-4⟩. ⟨hal-00779535⟩
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