Three-Phases Dynamic Modelling of Column Flotation Process

https://doi.org/10.1016/j.ifacol.2018.09.399Get rights and content

Abstract

In this work, a three-phases discrete dynamic model of column flotation which accounts for the interface and froth regions is developed. The system is described by transport hyperbolic nonlinear partial differential equations (PDEs). The steady state profiles are utilized to linearize the original nonlinear system. The Cayley-Tustin time discretization transformation is applied to the linear hyperbolic PDEs system and maps the continuous infinite dimensional system to a discrete infinite dimensional system without spatial discretization. The final discretized model is structure preserving and does not imply any model reduction. Discrete model dynamics are compared with high fidelity numerical simulations of continuous linearized model in order to demonstrate applicability of the proposed discrete model development.

Keywords

Column flotation
Process modelling
Hetero-directional hyperbolic PDEs
Cayley-Tustin discretization

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This work is supported by The National Natural Science Foundation of China (NSFC: 61773183), The China Scholarship Council and The 111 Project (B12018).

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