Representation of a Continuous Settling Tank by Hybrid Partial Differential Non Linear Equations for Control Design
(2020) 21st IFAC World Congress — Location: Berlin (12.July.2020)
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- Authors
Dochain, Denis 
- Abstract
- The representation of the main physical phenomena of continuous sedimentation within a settling tank (hydrodynamics of two-phase suspensions) is essential for the further design of a control of the quality of the solid-liquid separation. The model is still made of highly non-linear partial differential equations after simplifying assumptions on the behaviour of the solid and liquid flows and considering a one dimensional settler. Moreover effective solid stress appears 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 design of a control of the water quality at the top outlet of the settling tank. A hybrid state space representation is explained 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.
- Affiliations
Citations
Valentin, C., Dochain, D., Jallut, C., & Dos Santos Martins, V. (2020). Representation of a Continuous Settling Tank by Hybrid Partial Differential Non Linear Equations for Control Design. Accepted/in-press. 21st IFAC World Congress, Berlin. https://hdl.handle.net/2078.5/169322