Abstract
Mathematical modeling of the extraction of natural materials is an activity of increasing importance due to the economic potentials it offers. A fundamentally sound and sufficiently detailed mathematical model may be used to project and extend the scope of the available experimental findings to obtain a better understanding of the systems and the phenomena involved for the design, scale-up and operation of the related equipment, and the complex systems having such equipment. Almost all mathematical models describing operations involving complex phenomenon have several simplifying assumptions attached to a basic physical model, assumed to best describe the actual phenomena. What is required of the model is to predict the available experimental data accurately and precisely. It is the best if non of the model parameters are system dependent, that is they are all calculated from theoretical principles, or are evaluated from data obtained from completely independent experimental systems. The strength of the models are measured by the number of system types they can accurately predict, and the spans of their ranges of applicability, within acceptable limits of accuracy and precision.
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Hortaçsu, Ö. (2000). Modeling of Natural Materials Extraction. In: Kiran, E., Debenedetti, P.G., Peters, C.J. (eds) Supercritical Fluids. NATO Science Series, vol 366. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3929-8_21
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DOI: https://doi.org/10.1007/978-94-011-3929-8_21
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