Abstract
In the preceding chapter, the kinetic behavior of individual particles isolated in an infinite fluid medium has been discussed. The various steps or combinations of steps which can control the rate of heterogeneous reactions were identified and appropriate types of mathematical models to describe individual particle behavior were reviewed. In the present chapter, consideration is extended to the behavior of multiparticle systems. By definition, a multiparticle system consists of an assembly of particles that make up the disperse phase plus the environment surrounding the particles that makes up the continuous phase in a processing vessel. Virtually all particulate assemblages encountered in extractive metallurgical practice are polydisperse in nature, i.e., the particles being processed have a broad distribution of properties such as size, mineralogical composition, etc., which contribute to the overall behavior of the system. In addition, in practical systems the particles often interact with one another and/or with the fluid environment. If one wishes to accurately design a reactor, optimize an existing operation, or specify an effective automatic control strategy for an extractive metallurgical process, it is necessary to be able to describe, in quantitative terms, the influence of material property distributions and particle-particle or particle-fluid interactions on the overall reaction behavior of the system.
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References
H. M. Hulburt and S. Katz, Chem. Eng. Sci. 19, 555 (1964).
A. D. Randolph, Can. J. Chem. Eng. 42, 280 (1964).
P. Yu, A kinetic study of the leaching of chalcopyrite at elevated temperatures and pressures, Ph.D. Dissertation, University of Utah, 1972.
C. Orr and J. M. Dallavalle, Fine Particle Measurement, Macmillan, New York (1959).
R. D. Cadle, Particle Size, Reinhold Publishing, Stamford, Conn. (1965).
R. Irani and C. Callis, Particle Size: Measurement, Interpretation and Application, Wiley, New York (1963).
T. Allen, Particle Size Measurement, Chapman and Hall, London (1968).
G. Herdan, Small Particle Statistics, Academic Press, New York (1960).
E. Parzen, Modern Probability Theory and Its Applications, Wiley, New York (1963).
M. Fisz, Probability Theory and Mathematical Statistics, Wiley, New York (1960).
H. D. Lewis and A. Goldman, Theoretical small particle statistics, Los Alamos Scientific Laboratory Report (1967).
D. M. Himmelblau, Process Analysis by Statistical Methods, Wiley, New York (1969).
A. D. Randolph and M. Larson, Theory of Particulate Processes, Academic Press, New York (1971).
R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, Wiley, New York (1960).
V. G. Jenson and G. V. Jeffereys, Mathematical Methods in Chemical Engineering, Academic Press, New York (1963).
D. C. Tim and M. A. Larson, AIChE J. 14, 452 (1968).
L. G. Austin, Powder Technol. 5, 1 (1972–72).
T. Meloy and A. Gaudin, Trans. AIME 223, 43 (1962).
A. Filippov, Theory Probab. Its AppL (USSR) 6, No. 3 (1961).
L. G. Austin and P. T. Luckie, Trans. AIME 252, 82 (1972).
J. A. Herbst and T. Mika, Proceedings IX International Mineral Processing Congress, Prague (1970).
V. K. Gupta and P. C. Kapur, Fourth European Symposium on Comminution, H. Rumpf and K. Schonen, eds., Dechema-Monographien, Verlag Chemie (1976), p. 447.
K. Rajamani and J. A. Herbst, Computer evaluation of errors involved in the use of size discretized grinding models, manuscript in preparation.
K. J. Reid, Chem. Eng. Sci. 20, 953 (1965).
J. A. Herbst et al., Fourth European Symposium on Comminution, H. Rumpf and K. Schonert, eds., Dechema-Monographien, Verlag Chemie (1972), p. 475.
J. A. Herbst and D. W. Fuerstenau, Trans. AIME 241, 538 (1968).
S. K. Freidlander and C. S. Wang, J. Colloid Interface Sci. 22 (2), 126 (1966).
K. V. S. Sastry, The agglomeration of particulate materials by green peptization, Ph.D. Thesis, University of California (1970).
J. Valentas and N. Amundsen, Ind. Eng. Chem. Fundam. 4, 533 (1966).
R. K. Bjpai and D. Ramkrishna, Chem. Eng. Sci. 31, 913 (1976).
D. E. Brown and K. Pitt, Chem. Eng. Sci. 27, 577 (1972).
L. W. Beckstead et al, Trans. TMS-AIME, 2 611 (1976).
D. M. Himmelblau, Process Analysis of Simulation, Wiley, New York (1968).
J. A. Herbst and K. V. S. Sastry, unpublished results (1977).
J. A. Herbst, K. Rajamani, and D. Kinneberg, ESTIMILL, University of Utah, Dept. of Metallurgy (1977).
M. Siddique, A kinetic approach to ball mill scale-up, M.S. Thesis, University of Utah (1977).
J. A. Herbst et al., Trans. IMM 80, C193 (1971).
R. P. Gardner and K. Verghese, Powder Technol. 11, 87 (1975).
J. A. Herbst, An approach to the modeling of continuous leaching systems, Annual AIME Meeting, New York (1975).
R. W. Bartlett, Met. Trans. 2, 2999 (1971).
P. Harriot, AIChE J. 8, 93 (1962).
S. Pohlman, The dissolution kinetics of chrysocolla using a weight loss technique, Ph.D. Thesis, University of Utah (1974).
D. M. Himmelblau and D. A. Paviani, Operations Res. 17, 872 (1969).
L. Lapidus, Numerical Methods for Chemical Engineers, Wiley, New York (1962)/
D. Ramkrishna, Chem. Eng. Sci. 28, 1423 (1973).
D. Ramkrishna, Chem. Eng. Sci. 29, 1711 (1974).
H. Imai and T. Miyauchi, J. Chem. Eng. Japan 1 (1), 77 (1968).
R. P. King, S. African IMM 341 (1973).
P. C. Kapur and D. W. Fuerstenau, Ind. Eng. Chem. Process Design Develop. 8 (1) (1969).
D. Kunii and O. Levenspiel, Fluidization Engineering, Wiley, New York (1971).
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Herbst, J.A. (1979). Rate Processes in Multiparticle Metallurgical Systems. In: Sohn, H.Y., Wadsworth, M.E. (eds) Rate Processes of Extractive Metallurgy. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9117-3_2
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DOI: https://doi.org/10.1007/978-1-4684-9117-3_2
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