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Tytuł artykułu

Zastosowanie równania bilansu populacji do opisu dwufazowych układów dyspersyjnych

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
EN
Application of population balance equation for description of two-phase dispersion systems
Języki publikacji
PL
Abstrakty
PL
Przedstawiono podstawowe zastosowania oraz omówiono w skrócie najważniejsze sposoby całkowania równania bilansu populacji (RBP) dla układów dyspersyjnych, m.in. metodę momentów, metodę elementów skończonych, metodę kolokacji ortogonalnej, metodę Monte Carlo oraz metody oparte na dyskretyzacji.
EN
Application of population balance equation (PBE) for dispersed systems is shortly presented. Main integration methods for solving PBE such as moment transforms, finite elements, orthogonal collocation, Monte Carlo and discretization ones are discussed in the paper.
Czasopismo
Rocznik
Strony
280--283
Opis fizyczny
Bibliogr. 44 poz.
Twórcy
  • Katedra Inżynierii Chemicznej i Procesowej, Politechnika Śląska, Gliwice
autor
  • Katedra Inżynierii Chemicznej i Procesowej, Politechnika Śląska, Gliwice
autor
  • Katedra Inżynierii Chemicznej i Procesowej, Politechnika Śląska, Gliwice
Bibliografia
  • 1. Smoluchowski M.: Versuch einer mathematishen Theorie der Koagulationskinetik kolloider Lösungen, Zeitschr. Phys. Chem., 92, 129 (1917).
  • 2. Krabben R, Nielsen J. And Michelsen M.L.: Analysis of single hyphal growth and fragmentation in submerged cultures using a population model, Chem. Engng Sci., S2, 2641 (1997).
  • 3. Schumann T.E.: Theoretical aspects of the size distribution of fog particles, J Roy. Meteor. Soc., 66, 195 (1940).
  • 4. Friedlander S.K.: Smoke, Dust and Haze, John Wiley and Sons, New York 1977.
  • 5. Stockmayer W.H.: Theory of molecular size distribution and gel formation in polymerization, J. Chem. Phys., 11, 45 (1943).
  • 6. Hulburt H.M. and Katz S.: Some problems in particle technology. A statistical mechanical formulation, Chem. EngngSci., 19, 555 (1964).
  • 7. Randolph A.D., Larson M.A.: Theory of Particulate Processes, Academic Press, Inc., New York 1988.
  • 8. Marchal P., David R., Klein J.P. and Villermaux J.: Crystallization and precipitation engineering - I. An efficient method for solving population balance in crystallization with agglomeration, Chem. Engng Sci., 43, 59 (1988).
  • 9. Hounslow M.J., Ryall R.L., Marshall VR.: A Discretized population Balance for Nucleation, Growth, and Aggregation, AICHE J., 34, 1821 (1988).
  • 10. Wójcik J., Jones A.G.: Particle disruption of precipitated CaCO3 crystal agglomerates in turbulently agitated_suspensions, Chem. Engng Sci., 53, 1097(1998).
  • 11. Sastry K.V.S.: Similarity size distribution of agglomerates during their growth by coalescence in granulation or green pelletization, Int. J. Miner. Processing,!, 187(1975).
  • 12. Ouchiyama N. and Tanaka T: Physical requisite to appropriate granule growth rate. Ind. Engng Chem. Process. Des. Dev., 21, 35 (1982).
  • 13. Adetayo A.A., Ennis B.J.: Unifying Approach to Modeling Granule Coalescence Mechanisms, AlChEJ., 43, 927 (1997).
  • 14. Hill P. and Ka M. Ng: Particle size distribution by design, Chem. Engng Sci., 57,2125 (2002).
  • 15. Godin F.B., Cooper D.G. and Rey A.D.: Development and solution of a cell mass population balance model applied to the SCF process, Chem. Engng Sci., 54, 565(1999).
  • 16. Krabben P., Nielsen J. And Michelsen M.L.: Analysis of single hyphal growth and fragmentation in submerged cultures using a population model, Chem. Engng Sci., 52, 2641 (1997).
  • 17. Bałdyga J., Malepszy S., Burza W., Golis W., Łada A.: Rozpad agregatów komórek roślinnych w intermittentnym polu burzliwym, VIII Ogólnopolskie Seminarium "Mieszanie", Warszawa-Jachranka'99, Prace Wydziału Inż. Chem. i Proc. Politechniki Warszawskiej, T. XXV, z. I -3, Warszawa 1999.
  • 18. Atteia O.: Evolution of size distributions of natural particles during aggregation: modelling versus field results, Colloids Surfaces A, 139, 171 (1998).
  • 19. Ducoste J.: A two-scale PBM for modeling turbulent flocculation in water treatment processes, Chem. Engng Sci., 57, 2157 (2002).
  • 20. Biggs C.A., Lant P. A.: Modelling activated sludge flocculation using population balances. Powder Techn., 124, 201 (2002).
  • 21. Patil D.P., Andrews J.R.G., Uhlherr P.H.T: A lumped discrete population balance model for shear flocculation - model development. Int. J. Miner Process., 50, 289(1997).
  • 22. Hartel R.W. and Randolph A.D.: Mechanisms and Kinetic Modeling of Calcium Oxalate Crystal Aggregation in a Urinelike Liquor. Part II, AIChE J., 32, 1186(1986).
  • 23. Brown D.L. and Glatz C.E.: Aggregate Breakage in Protein Precipitation, Chem. Engng Sci., 42, 1831 (1987).
  • 24. Ramkrishna D.: The status of population balances, Rev. Chem. Eng., 3, 49 (1985).
  • 25. Hidy G.M. and Brock J.R. (Eds.): Topics in Current Aerosol Research. Part 2, Pergamon Press, Oxford 1972.
  • 26. Patil D.P., Andrews J.R.G.: An analytical solution to continuous population balance model describing floe coalescence and breakage - A special case, Chem. Engng. Sci., 53, 599 (1998).
  • 27. White A.J. and Hounslow M.J.: Modelling droplet size distributions in polydispersed wetstream flows, Int. J. Heat Mass Transfer, 43, 1873 (2000).
  • 28. Hollander E.D., Derksen J.J., Kramer H.M.J., van Rosmalen G.M. and van den Akker H.E.A.: A numerical study on orthokinetic agglomeration in stirred tanks, Powder Techn., 130,169 (2003).
  • 29. Frenklach M.: Method of moments with interpolative closure, Chem. Engng Sci., 57, 22295 (2002).
  • 30. Diemer R.B. and Olson J.H.: A moment methodology for coagulation and breakage problems: Part 2 - moment models and distribution reconstruction, Chem. Engng Sci., 57, 2211 (2002).
  • 31. Bałdyga J., Orciuch W: Closure method for precipitaion in inhomogeneous turbulence. Proceedings of the 14th international symposium on industrial crystallization, paper 86, Cambridge, England 1999.
  • 32. Falk L. and Schaer E.: A PDF modelling of precipitation reactors, Chem. Engng Sci., 56, 2445 (2001).
  • 33. Marchisio D.L., Vigil R.D. and Fox R.O.: Quadrature method of moments for aggregation-breakage processes, J. Coll. Interface Sci., 258, 322 (2003).
  • 34. Wójcik J. Jones A.G.: Dynamics and stability of continuous MSMPR agglomerative precipitation: numerical analysis of the dual particle coordinate model, Computers Chem. Engng, 22, 535 (1998).
  • 35. Schuetz S. and Piesche M.: A mathematical model of coagulation processes, Separation/Purification Technology, 26, 61 (2002).
  • 36. Kostoglou M., Dovas S. and Karabelas A.J.: On the steady-state size distribution of dispersions in breakage processes, Chem. Engng Sci., 52, 1285 (1997).
  • 37. Liu Y. And Cameron I.T.: A new wavelet-based method for the solution of the population balance equation, Chem. Engn Sci., 56, 5283 (2001).
  • 38. Kruis F.E., Maisels A. and Fissan H.: Direct Simulation Monte Carlo Method for Particle Coagulation and Aggregation, AIChE J., 46, 1735 (2000).
  • 39. Kostoglou M., Konstandopoulos A.G.: Evolution of aggregate size and fractal dimension during Brownian coagulation, J. Aerosol Science, 32, 1399 (2001).
  • 40. Song M., Steiff A. And Weinspach P.M.: A very effective method to solve the population balance equation with particle-size growth, Chem. Engng Sci., 52, 3493 (1997).
  • 41. Kumar S. and Ramkrishna D.: On the solution of population balance equations by discretization - 1. A fixed pivot technique, Chem. Engng Sci., 51, 1311 (1996).
  • 42. Spicer P.T. and Pratsinis S.E.: Coagulation and Fragmentation: Universal Steady-State Particle-Size Distribution, AICHE J., 42, 1612 (1996).
  • 43. Bramley A.S. and Hounslow M.: Aggregation during precipitation from solution: I. Extracting rates from experimental data, praca niepublikowana, Dept. Chem Eng., Univ. Cambridge, 1995.
  • 44. Flesch J.C., Spicer P.T. and Pratsinis S.E.: Laminar and Turbulent Shear-Induced Flocculation of Fractal Aggregates, AICHE J., 45, 1114 (1999).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0045-0009
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