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**Operating charts for continuous sedimentation. II: Step responses.**
*(English)*
Zbl 1086.76069

Summary: [For part I see the author, ibid. 41, No. 2–3, 117–144 (2001; Zbl 1128.76370).]

The process of continuous sedimentation of particles in a liquid has often been predicted by means of operating charts and mass-balance considerations, where the underlying constitutive assumption is the one by G. J. Kynch [Trans. Faraday Soc. 48, 166–176 (1952)]. Much more complex operating charts (concentration-flux diagrams) can be obtained from a one-dimensional model of an ideal continuous clarifier-thickener unit. The engineering concept of ’optimal operation’ is defined generally as a special type of solution of the model equation, which is a conservation law with a source term and a space-discontinuous flux function. All qualitatively different step responses (with the unit initially in optimal operation in steady state) are presented and classified in terms of operating charts. Quantitative information relating several interesting variables are also presented concerning, for example, the time until overflow occurs as a function of the feed concentration and flux.

The process of continuous sedimentation of particles in a liquid has often been predicted by means of operating charts and mass-balance considerations, where the underlying constitutive assumption is the one by G. J. Kynch [Trans. Faraday Soc. 48, 166–176 (1952)]. Much more complex operating charts (concentration-flux diagrams) can be obtained from a one-dimensional model of an ideal continuous clarifier-thickener unit. The engineering concept of ’optimal operation’ is defined generally as a special type of solution of the model equation, which is a conservation law with a source term and a space-discontinuous flux function. All qualitatively different step responses (with the unit initially in optimal operation in steady state) are presented and classified in terms of operating charts. Quantitative information relating several interesting variables are also presented concerning, for example, the time until overflow occurs as a function of the feed concentration and flux.

### MSC:

76T20 | Suspensions |

### Citations:

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