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Communication Dans Un Congrès Année : 2020

Representation of a Continuous Settling Tank by Hybrid Partial Differential Non Linear Equations for Control Design

Résumé

The representation of the main physical phenomena of continuous sedimentation within a settling tank (hydrodynamics of two-phase suspensions) is essential for the further control design of the quality of the solid-liquid separation. The model is still made of non-linear partial differential equations after simplifying assumptions and considering a one dimensional settler. It comes from both mass and momentum balance equations and includes effective solid stress appearing when the solid particles concentration is above a given threshold which depends on the quality of the sludge. Then a mobile interface appears between two different behaviours. The settler is divided into two zones to represent this discrete phenomenon. Our goal is to develop a model that can be used for a further control design of the water quality at the top outlet of the settling tank. A hybrid state space representation is provided with the different dynamics in each of the two zones, the constitutive equations and the boundary conditions. The steady state profile is calculated. A simplified version of a settling tank model is simulated.
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Dates et versions

hal-02372643 , version 1 (20-11-2020)

Identifiants

  • HAL Id : hal-02372643 , version 1

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C. Valentin, D. Dochain, C. Jallut, V dos Santos Martins. Representation of a Continuous Settling Tank by Hybrid Partial Differential Non Linear Equations for Control Design. World congress IFAC 2020, Jul 2020, Berlin, Germany. 6 p. ⟨hal-02372643⟩
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