Chapter 18 The Linear Breakage Equation: From Fundamental Issues to Numerical Solution Techniques

Handbook of Powder Technology

Volumn 12, Issue , 2007, Pages 793-835

  Kostoglou, Margaritis ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649670127     PISSN: 01673785     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0167-3785(07)12021-2     Document Type: Review

References (101)

1. Sarofim A.F., Howard J.B., and Padia A.S. Comb. Sci. Tech. 16 (1977) 187
2. Kostoglou M., and Konstandopoulos A.G. J. Aerosol Sci. 34 (2003) S1061
3. Madras G., Smith J.M., and McCoy B.J. Ind. Eng. Chem. Res. 35 (1996) 1795
4. Wang S., Smith J.M., and McCoy B.J. AIChE J. 41 (1995) 1521
5. Matsuda S., Hatano H., Muramoto T., and Tsutsumi A. AIChE J. 50 (2004) 2763
6. Karabelas A.J. AIChE J. 22 (1976) 765
7. Nielsen J., and Villadsen J. Bioreaction Engineering Principles (1994), Plenum, New York
8. Mazzarotta B. Chem. Eng. Sci. 47 (1992) 3105
9. Ruiz M.C., and Padilla R. Hydrometallurgy 72 (2004) 245
10. Agterof W.G.M., Vaessen G.E.J., Haagh G.A.A.V., Klahn J.K., and Janssen J.J.M. Colloid Surface B 31 (2003) 141
11. Chen P., Sanyal J., and Dudukovic M.P. Chem. Eng. Sci. 60 (2005) 1085
12. Shrivastava R.C. J. Atmos. Sci. 39 (1982) 1317
13. Piotrowsky S. Acta Astron. A 5 (1953) 115-124
14. K. Wohletz, W. Brown, Manuscript presented in NSF/JSPS AMIGO-IMI Seminar, Santa Barbara, CA, June 8-13, 1995.
15. Ferkinghoff-Borg J., Jensen M.H., Mathiesen J., Olesen P., and Sneppen K. Phys. Rev. Lett. 91 (2003) paper No. 266103
16. Olesen P., Ferkinghoff-Borg J., Jensen M.H., and Mathiesen J. Phys. Rev. E 72 (2005) paper No. 031103
17. Krapivsky P.L. J. Stat. Phys. 69 (1992) 135
18. Krapivsky P.L., and Ben-Naim E. Phys. Rev. E 50 (1994) 3502
19. Redner S. Fragmentation. Chapter 10. In: Hermann H.J., and Roux S. (Eds). Statistical Models for the Fracture of Disordered Media (1990), Elsevier, New York
20. Hinze J.O. AIChE J. 1 (1955) 289
21. Pandya J.D., and Spielman L.A. J. Colloid Interf. Sci. 90 (1982) 517
22. Randolph A.D., and Larson M.A. Theory of Particulate Processes: Analysis and Techniques of Continuous Crystallization (1971), Academic Press, New York
23. Varinot C., Hiltgun S., Pons M.N., and Dodds J. Chem. Eng. Sci. 20 (1997) 3605
24. McGrady E.D., and Ziff R.M. Phys. Rev. Lett. 58 (1987) 892-895
25. Peterson T.W. Aerosol Sci. Tech. 5 (1986) 93-101
26. Kusters K.A., Pratsinis S.E., Thoma S.G., and Smith D.M. Chem. Eng. Sci. 48 (1993) 4119
27. Wang T., Wang J., and Jin Y. Chem. Eng. Sci. 58 (2003) 4629
28. Hesketh R.P., Etchells A.W., and Russell T.W.F. Chem. Eng. Sci. 46 (1991) 1
29. Sathyagal A.N., Ramkrishna D., and Narsimhan G. Comp. Chem. Eng. 19 (1995) 437
30. Luo H., and Svendsen H.F. AIChE J. 42 (1996) 1225
31. Lehr F., Millies M., and Mewes D. AIChE J. 48 (2002) 2426
32. Eyre D., Everson R.C., and Campbell Q.P. Powder Technol. 98 (1998) 265
33. Austin L., Shoji K., Bhatia V., Jindal V., Savage K., and Klimpel R. Ind. Eng. Chem. Proc. Des. Dev. 15 (1976) 187
34. Valentas K.J., and Amudson N.R. Ind. Eng. Chem. Fund. 5 (1966) 533
35. Kostoglou M., Dovas S., and Karabelas A.J. Chem. Eng. Sci. 52 (1997) 1285
36. Hill P.J., and Ng K.M. AIChE J. 42 (1996) 1600
37. Diemer R.B., and Olson J.H. Chem. Eng. Sci. 57 (2002) 4187
38. Kostoglou M., and Karabelas A.J. J. Phys. A: Math. Gen. 34 (2001) 1
39. Ziff R.M., and McGrady E.D. J. Phys. A: Math. Gen. 18 (1985) 3027
40. Ziff R.M., and McGrady E.D. Macromolecules 19 (1986) 2513
41. Ziff R.M. J. Phys. A: Math. Gen. 24 (1991) 2821
42. Kostoglou M. Physica A: Stat. Phys. 320 (2003) 34
43. Ramkrishna D. Population Balances: Theory and Application to Particulate Systems in Engineering (2000), Academic Press, San Diego
44. Liou J., Srienc F., and Fredrikson A.G. Chem. Eng. Sci. 52 (1997) 1529
45. Lensu M. J. Phys. A: Math. Gen. 31 (1998) 5707
46. Montroll E.W., and Simha R. J. Chem. Phys. 8 (1940) 721
47. Charleby A. Proc. R. Soc. London Ser. A 224 (1954) 120
48. Bak A.B., and Bak K. Acta Chem. Scand. 13 (1959) 1997
49. Kapur P.C. Chem. Eng. Sci. 25 (1970) 899
50. Kapur P.C. Chem. Eng. Sci. 27 (1972) 425
51. Fillipov A.F. Theor. Probab. Appl. 4 (1961) 275 (English translation)
52. Friedlander S.K. Smoke, Dust and Haze (1977), Wiley, New York
53. Goren S.L. Canadian J. Chem. Eng. 46 (1968) 185
54. Treat R.P. J. Phys. A: Math. Gen. 30 (1997) 2519
55. Madras G., and McCoy B.J. AIChE J. 44 (1998) 647
56. Cheng Z., and Redner S. Phys. Rev. Lett. 60 (1988) 2450
57. Kostoglou M., and Karabelas A.J. Chem. Eng. Sci. 56 (2001) 4283
58. Mantzaris N.V. J. Phys. A: Math. Gen. 38 (2005) 5111
59. Kostoglou M., and Karabelas A.J. J. Phys. A: Math. Gen. 31 (1998) 8905
60. Ernst M.H., and Szamel G. J. Phys. A: Math. Gen. 26 (1993) 6085
61. Tricomi F.G. Integral Equations (1985), Dover Publications, New York
62. Nambiar D.K.R., Kumar R., Das T.R., and Gandhi K.S. Chem. Eng. Sci. 47 (1992) 2989
63. Ruan J.Z., Litt M.H., and Krieger I.M. J. Colloid Interf. Sci. 126 (1988) 93
64. Amudson N.R. Mathematical Methods in Chemical Engineering: Matrices and Their Application (1966), Prentice Hall, New York
65. Villadsen J., and Michelsen M.L. Solution of Differential Equation Models by Polynomial Approximation (1978), Prentice Hall, New York
66. Hansen S., and Ottino J.M. Powder Technol. 93 (1997) 177
67. Kostoglou M. Chem. Eng. Sci. 55 (2000) 2507
68. Villadsen J. J. Biotechnol. 71 (1999) 251
69. Lapidus L., and Pinder G.F. Numerical Solution of Partial Differential Equations in Science and Chemical Engineering (1982), Wiley, New York
70. Williams M.M.R. J. Colloid Interf. Sci. 93 (1983) 252
71. Williams M.M.R., and Loyalka S.K. Aerosol Science: Theory and Practice (1991), Pergamon Press, New York
72. Finlayson B.A. The Method of Weighted Residuals and Variational Principles (1972), Academic Press, New York
73. Kostoglou M., and Karabelas A.J. Powder Technol. 127 (2002) 116
74. Delagrammatikas G., and Tsimas S. Chem. Eng. Comm. 191 (2004) 1362
75. Barret J.C., and Jheeta J.S. J. Aerosol Sci. 27 (1996) 1135
76. McGraw R. Aerosol Sci. Technol. 27 (1997) 255
77. Piskunov V.N., and Golubev A.I. J. Aerosol Sci. 33 (2002) 51
78. Kostoglou M., and Karabelas A.J. Powder Technol. 143-144 (2004) 280
79. Marchisio D.L., Vigil R.D., and Fox R.O. J. Colloid Interf. Sci. 258 (2003) 322
80. Marchisio D.L., and Fox R.O. J. Aerosol Sci. 36 (2005) 43
81. Mantzaris N.V., Daoutidis P., and Srienc F. Comput. Chem. Eng. 25 (2001) 1411
82. Mantzaris N.V., Daoutidis P., and Srienc F. Comput. Chem. Eng. 25 (2001) 1441
83. Mantzaris N.V., Daoutidis P., and Srienc F. Comput. Chem. Eng. 25 (2001) 1463
84. Ribeiro L.M., Regueiras P.F.R., Guimaraes M.M.L., Madureira C.M.N., and Cruz-Pinto J.J.C. Comp. Chem. Eng. 19 (1995) 333
85. Everson R.C., Eyre D., and Campbell Q.P. Comp. Chem. Eng. 21 (1997) 1433
86. Liu Y., and Tade M.O. Powder Technol. 139 (2004) 61
87. Hamilton R.A., Curtis J.S., and Ramkrishna D. AIChE J. 49 (2003) 2328
88. Reid K.J. Chem. Eng. Sci. 20 (1965) 953
89. Hill P.J., and Ng K.M. AIChE J. 42 (1995) 1600
90. Vanni M. AIChE J. 45 (1999) 916
91. Kumar S., and Ramkrishna D. Chem. Eng. Sci. 51 (1996) 1311
92. Attarakih M.M., Bart H.J., and Faqir N.M. Chem. Eng. Sci. 58 (2003) 1311
93. Kostoglou M., and Karabelas A.J. Chem. Eng. Sci. 60 (2005) 6584
94. Bilgili E., and Scarlett B. Chem. Eng. Technol. 28 (2005) 153
95. Bandyopadhyaya R., Kumar R., and Gandhi K.S. Langmuir 16 (2000) 7139
96. Alonso M., and Alguacil F.J. AIChE J. 47 (2001) 1303
97. Kostoglou M., and Karabelas A.J. J. Phys. A: Math. Gen. 33 (2000) 1221
98. Mihalyko C., Blickle T., and Lacatos B.G. Powder Technol. 97 (1998) 51
99. Kostoglou M., and Karabelas A.J. AIChE J. 50 (2004) 1746
100. Singh P., and Hassan M.K. Phys. Rev. E 53 (1996) 3134
101. Hill P.J. AIChE J. 50 (2004) 937