摘要：AbstractIn 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.
