Interrelation of the fuerstenau upgrading curve parameters with kinetics of separation

• Autorzy: Bakalarz A. , Drzymala J.
• Języki publikacji: EN

Abstrakty

EN

It was shown in the paper that kinetic equations relating recoveries of two components in separation products and time, when combined together to eliminate the time parameter, provide mathematical equations which relate recoveries of the two considered components in concentrate. The obtained one-adjustable-parameter type equations are very useful for approximation of the separation results plotted as the so-called Fuerstenau upgrading curves. Most empirical mathematical formulas presently used for the Fuerstenau plots were derived using various kinetic equations while some are still awaiting for their kinetic derivation.

Słowa kluczowe

EN

separation; upgrading; kinetics; Fuerstenau curve; beneficiation; recovery; selectivity

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Physicochemical Problems of Mineral Processing
• Rocznik: 2013
• Tom: Vol. 49, iss. 2
• Strony: 443--451
• Opis fizyczny: Bibliogr. 20 poz., rys., tab.

Twórcy

autor

Bakalarz A.

• Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw

autor

Drzymala J.

• Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw

Bibliografia

• 1. AGAR G.E., CHIA J., REQUIS-C L., 1998. Flotation rate measurements to optimize an operating circuits. Miner. Eng., 11(4), 347–360.
• 2. ARBITER N., 1951. Flotation rates and flotation efficiency. Trans. AIME. Sept., 791–796.
• 3. ARBITER N., HARRIS C.C., 1982. Flotation Kinetics. Froth Flotation, D.W. Fuerstenau (ed.), AIME, New York, 215.
• 4. BROZEK M., MLYNARCZYKOWSKA A., 2007. Analysis of kinetics models of batch flotation. Physicochem. Probl. Miner. Process., 41, 51–65.
• 5. CILEK E.C., 2004. Estimation of flotation kinetic parameters by considering interactions of the operating variables. Miner. Eng., 17, 81–85.
• 6. DRZYMALA J., 2006. Atlas of upgrading curves used in separation and mineral science and technology. Part I. Physicochem. Probl. Miner. Process., 40, 19–29.
• 7. DRZYMALA J., 2007a. Atlas of upgrading curves used in separation and mineral science and technology. Part II. Physicochem. Probl. Miner. Process., 41, 27–35.
• 8. DRZYMALA J., 2007b. Mineral Processing. Foundations of theory and practice of minerallurgy, Oficyna Wyd. PWr., Wroclaw, website: http://www.dbc.wroc.pl/dlibra/docmetadata?id=2070&from= &dirids=1&ver_id=&lp=7&QI.
• 9. DRZYMALA J., 2008. Atlas of upgrading curves used in separation and mineral science and technology. Part III. Physicochem. Probl. Miner. Process., 42, 75–84.
• 10. DRZYMALA J., AHMED H.A.M., 2005. Mathematical equations for approximation of separation results using the Fuerstenau upgrading curves. Int. J. Miner. Process., 76, 55–65.
• 11. DRZYMALA J., LUSZCZKIEWICZ A., FOSZCZ D., 2010. Application of upgrading curves for evaluation of past, present, and future performance of a separation plant. Mineral Processing and Extractive Metall. Rev., 31 (3), 165–175.
• 12. KELLY E.G., SPOTTISWOOD D.J., 1989. Introduction to mineral processing, 2nd edition, Mineral Engineering Services, Denver.
• 13. KOWALCZUK P.B., DRZYMALA J., 2011. A proposition of symbolism of non-ideal separations followed by analytical procedures for description of separation processes. Miner. Process. Extr. Metall. Rev. 32(4), 278–288.
• 14. LASKOWSKI J.S., 1989. Thermodynamic and kinetic flotation criteria. Gordon and Breach Science Publishers, New York, in English.
• 15. POLAT M., CHANDER S., 2000. First-order flotation kinetics models and methods for estimation of the true distribution of flotation rate constants. Int. J. Miner. Process., 58, 145–166.
• 16. SCHUHMANN Jr. R., 1942. Flotation Kinetics. I. Methods for steady-state study of flotation problems. J. Phys. Chem., 46(8), 891-902.
• 17. SOMASUNDARAN P., LIN I.J., 1973. Method for evaluating flotation kinetic parameters. Trans. AIME 254, 181–184.
• 18. WILLS B.A., NAPIER-MUNN T., 2006. Mineral processing technology. An introduction to the practical aspects of ore treatment and mineral recovery. 7th edition. Elsevier Science & Technology Books.
• 19. XU M., 1998. Modified flotation rate constant and selectivity index. Miner. Eng., 11(4), 271–278.
• 20. YUAN X, M, PALSSON B.I., FORSSBERG K.S.E., 1996. Statistical interpretation of flotation kinetics for a complex sulphide ore. Miner. Eng., 9(4), 429–442.