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Non porous shrinking particle model of l

Pavel Raschman, Ľuboš Popović

2026enshrinking particle modelmathematical modellingL/S ratiosimulationverification

Abstract

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A generalized non-porous shrinking particle model (NSPM) of leaching is proposed, which - unlike commonly used “simplified” mathematical models - takes into account the influence of the L/S ratio (by means of the so-called reduced A/B molar ratio, φ, which indicates how many times the leaching agent (A)-to-valuable substance (B) molar ratio actually used exceeds its stoichiometric value) and non-ideal behaviour of concentrated lixiviants. Moreover, n-th order chemical reaction with power-law kinetics is considered, which makes determination of the rate-determining step of the overall process more reliable. Correlation between the proposed model and experiment was tested using the hydrochloric acid leaching of dead-burned magnesite, which provides the opportunity to experimentally verify how the mathematical model parameters influence the leaching process. The study highlights the importance of the L/S ratio in leaching processes and presents a mathematical formulation that includes stoichiometric conditions. This research serves as a foundation for planning leaching experiments, allowing for the determination of kinetic parameters based on measured data and facilitates the simulation of leaching under conditions controlled by chemical reaction.

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Cite This Work

@article{48630408-cf16-445c-a721-fae0a8d1dc9b,
  title={Non porous shrinking particle model of l},
  author={Pavel Raschman and Ľuboš Popović},
  year={2026},
  language={en}
}
TY  - JOUR
TI  - Non porous shrinking particle model of l
AU  - Pavel Raschman
AU  - Ľuboš Popović
PY  - 2026
LA  - en
ER  -

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