Mean particle diameters. Part V: Theoretical derivation of the proper type of mean particle diameter describing a product or process property

Particle and Particle Systems Characterization

Volumn 22, Issue 4, 2006, Pages 233-245

  Alderliesten, Maarten ^a  

^a UNILEVER RESEARCH VLAARDINGEN   (Netherlands)

Author keywords

Evaporation; Heat transfer; Mean diameter; Moment ratio; Particle; Two phase flow

Indexed keywords

HEAT TRANSFER; PHYSIOLOGY; TURBULENT FLOW; TWO PHASE FLOW;

MEAN DIAMETERS; MOMENT-RATIO; NUMBER DENSITY DISTRIBUTION;

EVAPORATION;

EID: 31944450750     PISSN: 09340866     EISSN: 15214117     Source Type: Journal    
DOI: 10.1002/ppsc.200500987     Document Type: Article

References (44)

1. F. Müller, R. Polke, M. Schäfer, N. Scholz, Particle System Characterization and Modelling. Part. Part. Syst. Charact. 2001, 18, 248-253.
2. M. Alderliesten, Mean Particle Diameters. Part IV: Empirical Selection of the Proper Type of Mean Particle Diameter Describing a Product or Material Property, Part. Part. Syst. Charact. 2004, 21, 179-196.
3. M. Alderliesten, Mean Particle Diameters. From Statistical Definition to Physical Understanding, J. Biopharmaceutical Statistics 2005, 15, 295-325.
4. M. Alderliesten, Mean Particle Diameters. Part I: Evaluation of Definition Systems, Part. Part. Syst. Charact. 1990, 7, 233-241.
5. M. Chakraborty, C. Bhattacharya, S. Datta, Effect of drop size distribution on mass transfer analysis of the extraction of nickel(II) by emulsion liquid membrane, Colloids and Surfaces A 2003, 224, 65-74.
6. P. Angeli, G. F. Hewitt, Drop size distributions in horizontal oil-water dispersed flows, Chem. Eng. Sci. 2000, 55, 3133-3143.
7. P. A. Haas, Turbulent Dispersion of Aqueous Drops in Organic Liquids, AIChE Journal 1987, 33, 987-995.
8. I. Yaron, B. Gal-Or, Convective mass or heat transfer from size-distributed drops, bubbles or solid particles, Int. J. Heat Mass Transfer 1971, 14, 727-737.
9. I. Yaron, B. Gal-Or, Low Peclet Number Mass or Heat Transfer in Two-Phase Particulate Systems, AIChE Journal 1973, 19, 662-664.
10. U. J. Plöcker, H. Schmidt-Traub, Instationärer Stofftransport zwischen einer Einzelkugel und einer ruhenden Umgebung, Chemie-Ing.-Techn. 1972, 44, 313-319.
11. th ed., p. 12-23.
12. P. Di Marco, W. Grassi, G. Memoli, Experimental study on rising velocity of nitrogen bubbles in FC-72, Int. J. Thermal Sciences 2003, 42, 435-446.
13. N. Boskovic, Z. B. Grbavcic, D. V. Vukovic, M. Markovic-Grbavcic, Mass transfer between fluid and immersed surfaces in liquid fluidized beds of coarse spherical inert particles, Powder Technol. 1994, 79, 217-225.
14. O. Molerus, Heat transfer in gas fluidized beds. Part 1., Powder Technol. 1992, 70, 1-14;
15. Part 2. Dependence of heat transfer on gas velocity, Powder Technol. 1992, 70, 15-20.
16. S. Waslo, B. Gal-Or, Boundary layer theory for mass and heat transfer in clouds of moving drops, bubbles or solid particles, Chem. Eng. Sci. 1971, 26, 829-838.
17. J. A. Wesselingh, A. M. Bollen, Single Particles, Bubbles and Drops: Their velocities and Mass Transfer Coefficients, Trans. IChemE 1999, 77, 89-96.
18. J. Bayraktar, S. Saklar, Investigation of the relationship between the particle size distribution and the kinetic parameters in pyrite flotation, Minerals & Metallurgical Processing 2001, 18, 110-116.
19. R. Clift, J. R. Grace, M. E. Weber, Bubbles, Drops, and Particles, Academic Press, New York, 1978.
20. C. Lareo, P. J. Fryer, M. Barigou, The fluid mechanics of two-phase solid-liquid food flows: A review, Trans. IchemE 1997, 75, 73-105.
21. R. A. Mugele, H. D. Evans: Droplet Size Distribution in Sprays. Ind. Eng. Chem. 1951, 43, 1317-1324.
22. H. W. Morse, On Evaporation from the Surface of a Solid Sphere, Proc. Amer. Acad. Sci. 1910, 45, 363-367.
23. I. Langmuir, The Evaporation of Small Spheres, Phys. Rev. 1918, 12, 368-370.
24. P. Grassmann, Physical Principles of Chemical Engineering, Pergamon Press, Oxford, 1971, p. 294-299.
25. O. Levenspiel, Engineering Flow and Heat Exchange, Plenum Press, New York, 1984, chap. 11.
26. M. Alderliesten: Mean Particle Diameters. Part II: Standardization of Nomenclature. Part. Part. Syst. Charact. 1991, 8, 237-241.
27. nd ed., Clarendon Press, Oxford, 2000, p. 230-237
28. nd ed., Clarendon Press, Oxford, 2000, p. 1-10.
29. th ed., John Wiley & Sons, Inc., New York, 1992, p. 543.
30. G. M. Murphy, Ordinary Differential Equations and Their Solutions, D. Van Nostrand Company, Inc., New York, 1960, p. 43-49.
31. N. A. Peppas, L. Brannon-Peppas, Water Diffusion and Sorption in Amorphous Macromolecular Systems and Foods, Journal of Food Engineering 1994, 22, 189-210.
32. nd ed., Oxford University Press, Oxford, 2004, p. 89-91.
33. R. Kohlus, Über den Einfluβ einer Partikelgröβ enverteilung auf die Widerstandskraft der dispersen Phase in Zweiphasenströmungen, Theoretische Studienarbeit, Institut für Technische Mechanik der TU Clausthal, 1991.
34. ISO 9276-2:2001 Representation of results of particle size analysis - Part 2: Calculation of average particle sizes/diameters and moments from particle size distributions.
35. C. M. Tchen, Mean Value and Correlation Problems Connected with the Motion of Small Particles suspended in a Turbulent Fluid, Ph.D. thesis, Delft, 1947.
36. nd ed., p 460-471.
37. A. T. Hjelmfelt Jr, L. F. Mockros, Motion of Discrete Particles in a Turbulent Fluid, Appl. Sci. Res. 1966, 16, 149-161.
38. O. Molerus, Fluid-Feststoff-Strömungen, Springer-Verlag, Berlin/Heidelberg, 1982, chapter 1.
39. nd ed., John Wiley & Sons, New York, 2002, 177-179.
40. R. Clift, J. R. Grace, M. E. Weber, Bubbles, Drops, and Particles, Academic Press, New York, 1978, p. 30-35.
41. A. A. Kaskas, Berechnung der stationären und instationä ren Bewegung von Kugeln in ruhenden und strömenden Medien, Diplomarbeit TU Berlin, 1964.
42. R. Clift, J. R. Grace, M. E. Weber, Bubbles, Drops, and Particles, Academic Press, New York, 1978, p. 111, 112.
43. M. Alderliesten: Mean Particle Diameters. Part III: An Empirical Evaluation of Integration and Summation Methods for Estimating Mean Particle Diameters from Histogram Data. Part. Part. Syst. Charact. 2002, 19, 373-386.
44. nd ed., Clarendon Press, Oxford, 2000, p. 24.