Abstract
This paper deals with the modelling and simulation of the dissolution of phosphate ore particles in a dilute phosphoric acid solution in a batch stirred tank reactor. A shrinking core model with elimination of the products is used to describe the reaction and mass transfer phenomena involved in the three phases considered, i.e., liquid bulk, liquid film surrounding the particles and solid phase. The model is based on mass balance equations in the three phases and consist of algebraic equations in the liquid bulk, an ODE in the solid phase, and PDEs in the liquid film. An estimability analysis method based on global sensitivities is used to determine the most estimable unknown parameters involved in the model equations from the available experimental data. The values of the least estimable parameters are fixed from the literature, while gProms environment is used to implement and solve the equations and to identify the most estimable parameters. The results obtained exhibit a good agreement between the model predictions and the measurements with coherent values of the identified parameters. Furthermore, the model is tested on the measurements carried out by van der Sluis et al. (1987) and showed that the dissolution process is mainly controlled by the diffusion step.
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