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Volumn 34, Issue 8, 2001, Pages 1725-1740

On the breakage problem with a homogeneous erosion type kernel

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EID: 0035794094     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/8/316     Document Type: Article
Times cited : (17)

References (49)
  • 1
    • 0030574395 scopus 로고    scopus 로고
    • Cut-off model and exact general solutions for fragmentation with mass loss
    • Huang J, Guo X, Edwards B F and Levine A D 1996 Cut-off model and exact general solutions for fragmentation with mass loss J. Phys. A: Math. Gen. 29 7639-58
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 7639-7658
    • Huang, J.1    Guo, X.2    Edwards, B.F.3    Levine, A.D.4
  • 2
    • 0000856723 scopus 로고
    • Kinetics of polymer degradation
    • Ziff R M and McGrady E D 1986 Kinetics of polymer degradation Macromolecules 19 2513-9
    • (1986) Macromolecules , vol.19 , pp. 2513-2519
    • Ziff, R.M.1    McGrady, E.D.2
  • 6
    • 0016972023 scopus 로고
    • Particle attrition in shear flow of concentrated slurries
    • Karabelas A J 1976 Particle attrition in shear flow of concentrated slurries AIChE J. 22 765-71
    • (1976) AIChE J. , vol.22 , pp. 765-771
    • Karabelas, A.J.1
  • 7
    • 0026908027 scopus 로고
    • Abrasion and breakage phenomena in agitated crystal suspensions
    • Mazzarotta B 1992 Abrasion and breakage phenomena in agitated crystal suspensions Chem. Eng. Sci. 47 3105-11
    • (1992) Chem. Eng. Sci. , vol.47 , pp. 3105-3111
    • Mazzarotta, B.1
  • 8
    • 0020336029 scopus 로고
    • A simple model of particle coalescence and breakup
    • Shrivastava R C 1982 A simple model of particle coalescence and breakup J. Atmos. Sci. 39 1317-22
    • (1982) J. Atmos. Sci. , vol.39 , pp. 1317-1322
    • Shrivastava, R.C.1
  • 9
    • 0000118047 scopus 로고
    • The collisions of asteroids
    • Piotrowsky S 1953 The collisions of asteroids Acta Astron. A 5 115-24
    • (1953) Acta Astron. A , vol.5 , pp. 115-124
    • Piotrowsky, S.1
  • 10
    • 21144480652 scopus 로고
    • Kinetics of a random sequential parking on a line
    • Krapivsky P L 1992 Kinetics of a random sequential parking on a line J. Stat. Phys. 69 135-50
    • (1992) J. Stat. Phys. , vol.69 , pp. 135-150
    • Krapivsky, P.L.1
  • 11
    • 49049139796 scopus 로고
    • Floe breakage in agitated suspensions: Theory and data processing strategy
    • Pandya J D and Spielman L A 1982 Floe breakage in agitated suspensions: theory and data processing strategy J. Colloid Interface Sci. 90 517-31
    • (1982) J. Colloid Interface Sci. , vol.90 , pp. 517-531
    • Pandya, J.D.1    Spielman, L.A.2
  • 13
    • 0031252902 scopus 로고    scopus 로고
    • Identification of the fragmentation mechanisms in wet phase fine grinding in a stirred bead mill
    • Varinot C, Hiltgun S, Pons M N and Dodds J 1997 Identification of the fragmentation mechanisms in wet phase fine grinding in a stirred bead mill Chem. Eng. Sci. 20 3605-12
    • (1997) Chem. Eng. Sci. , vol.20 , pp. 3605-3612
    • Varinot, C.1    Hiltgun, S.2    Pons, M.N.3    Dodds, J.4
  • 14
    • 0030166109 scopus 로고    scopus 로고
    • Degradation of poly(methyl methacrylate) in solution
    • Madras G, Smith J M and McCoy B J 1996 Degradation of poly(methyl methacrylate) in solution Ind. Eng. Chem. Res. 35 1795-800
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 1795-1800
    • Madras, G.1    Smith, J.M.2    McCoy, B.J.3
  • 16
    • 0031260398 scopus 로고    scopus 로고
    • Fragmentation with abrasion and cleavage: Analytical results
    • Hansen S and Ottino J M 1997 Fragmentation with abrasion and cleavage: analytical results Powder Technol. 93 177-84
    • (1997) Powder Technol. , vol.93 , pp. 177-184
    • Hansen, S.1    Ottino, J.M.2
  • 17
    • 0023162851 scopus 로고
    • Population balance modeling of the dissolution of polydisperse solids: Rate limiting regimes
    • Le Blanc S E and Fogler H S 1987 Population balance modeling of the dissolution of polydisperse solids: rate limiting regimes AIChE J. 33 54-63
    • (1987) AIChE J. , vol.33 , pp. 54-63
    • Le Blanc, S.E.1    Fogler, H.S.2
  • 18
    • 0025408933 scopus 로고
    • On a Petrov Galerkin finite element method for evaporation of polydisperse aerosols
    • Tsang T H and Huang L K 1990 On a Petrov Galerkin finite element method for evaporation of polydisperse aerosols Aerosol Sci. Technol. 12 578-97
    • (1990) Aerosol Sci. Technol. , vol.12 , pp. 578-597
    • Tsang, T.H.1    Huang, L.K.2
  • 19
    • 0343091243 scopus 로고    scopus 로고
    • Mathematical analysis of polymer degradation with chain-end scission
    • Kostoglou M 2000 Mathematical analysis of polymer degradation with chain-end scission Chem. Eng. Sci. 55 2507-13
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 2507-2513
    • Kostoglou, M.1
  • 20
    • 0033003255 scopus 로고    scopus 로고
    • Time-dependent particle-size distributions in comminution
    • Zemskov E P 1999 Time-dependent particle-size distributions in comminution Powder Technol. 102 71-4
    • (1999) Powder Technol. , vol.102 , pp. 71-74
    • Zemskov, E.P.1
  • 21
    • 0032479103 scopus 로고    scopus 로고
    • Distribution of the number of fragmentation in continuous fragmentation
    • Lensu M 1998 Distribution of the number of fragmentation in continuous fragmentation J. Phys. A: Math. Gen. 31 7505-15
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 7505-7515
    • Lensu, M.1
  • 23
    • 24244449908 scopus 로고
    • Shattering transition in fragmentation
    • McGrady E D and Ziff R M 1987 Shattering transition in fragmentation Phys. Rev. Lett. 58 892-5
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 892-895
    • McGrady, E.D.1    Ziff, R.M.2
  • 24
    • 0040458461 scopus 로고
    • General solutions and scaling violation for fragmentation with mass loss
    • Huang J, Edwards B F and Levine A D 1991 General solutions and scaling violation for fragmentation with mass loss J. Phys. A: Math. Gen. 24 3967-77
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 3967-3977
    • Huang, J.1    Edwards, B.F.2    Levine, A.D.3
  • 25
    • 33748373364 scopus 로고
    • The kinetics of cluster fragmentation and depolymerization
    • Ziff R M and McGrady E D 1985 The kinetics of cluster fragmentation and depolymerization J. Phys. A: Math. Gen. 18 3027-37
    • (1985) J. Phys. A: Math. Gen. , vol.18 , pp. 3027-3037
    • Ziff, R.M.1    McGrady, E.D.2
  • 26
    • 0031558680 scopus 로고    scopus 로고
    • Similarity solution for fragmentation with volume change
    • Treat R P 1997 Similarity solution for fragmentation with volume change J. Phys. A: Math. Gen. 30 7639-58
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 7639-7658
    • Treat, R.P.1
  • 28
    • 0030173322 scopus 로고    scopus 로고
    • Statistics of multiple particle breakage
    • Hill P J and Ng K M 1996 Statistics of multiple particle breakage AIChE J. 42 1600-11
    • (1996) AIChE J. , vol.42 , pp. 1600-1611
    • Hill, P.J.1    Ng, K.M.2
  • 29
    • 0030615982 scopus 로고    scopus 로고
    • On the steady state size distribution of dispersions in breakage processes
    • Kostoglou M, Dovas S and Karabelas AJ 1997 On the steady state size distribution of dispersions in breakage processes Chem. Eng. Sci. 52 1285-99
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 1285-1299
    • Kostoglou, M.1    Dovas, S.2    Karabelas, A.J.3
  • 30
    • 0033119084 scopus 로고    scopus 로고
    • Discretization procedure for the breakage equation
    • Vanni M 1999 Discretization procedure for the breakage equation AIChE J. 45 916-9
    • (1999) AIChE J. , vol.45 , pp. 916-919
    • Vanni, M.1
  • 31
    • 0031149205 scopus 로고    scopus 로고
    • Solutions of population balance models based on successive generations approach
    • Liou J, Srienc F and Fredrikson A G 1997 Solutions of population balance models based on successive generations approach Chem. Eng. Sci. 52 1529-40
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 1529-1540
    • Liou, J.1    Srienc, F.2    Fredrikson, A.G.3
  • 32
    • 0032840184 scopus 로고    scopus 로고
    • On the use of population balances
    • Villadsen J 1999 On the use of population balances J. Biotechnol. 71 251-3
    • (1999) J. Biotechnol. , vol.71 , pp. 251-253
    • Villadsen, J.1
  • 34
    • 0001442019 scopus 로고
    • The time-dependent behavior of aerosols with growth and deposition i. Without coagulation
    • Williams M M R 1983 The time-dependent behavior of aerosols with growth and deposition I. Without coagulation J. Colloid Interface Sci. 93 252-63
    • (1983) J. Colloid Interface Sci. , vol.93 , pp. 252-263
    • Williams, M.M.R.1
  • 36
    • 0001171642 scopus 로고
    • Scaling theory of fragmentation
    • Cheng Z and Redner S 1988 Scaling theory of fragmentation Phys. Rev. Lett. 60 2450-3
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 2450-2453
    • Cheng, Z.1    Redner, S.2
  • 37
    • 0024064150 scopus 로고
    • Simultaneous nucleation, condensation, and coagulation in aerosol reactors
    • Pratsinis SE 1988 Simultaneous nucleation, condensation, and coagulation in aerosol reactors J. Colloid Interface Sci. 124 416-27
    • (1988) J. Colloid Interface Sci. , vol.124 , pp. 416-427
    • Pratsinis, S.E.1
  • 38
    • 0022489143 scopus 로고
    • Similarity solutions for the populations balance equation describing particle fragmentation
    • Peterson T W 1986 Similarity solutions for the populations balance equation describing particle fragmentation Aerosol Sci. Technol. 5 93-101
    • (1986) Aerosol Sci. Technol. , vol.5 , pp. 93-101
    • Peterson, T.W.1
  • 39
    • 0030561458 scopus 로고    scopus 로고
    • Improving the accuracy of the moments method for solving the aerosol general dynamic equation
    • Barret J C and Jheeta J S 1996 Improving the accuracy of the moments method for solving the aerosol general dynamic equation J. Aerosol Sci. 27 1135-42
    • (1996) J. Aerosol Sci. , vol.27 , pp. 1135-1142
    • Barret, J.C.1    Jheeta, J.S.2
  • 40
    • 0031214085 scopus 로고    scopus 로고
    • Description of atmospheric aerosol dynamics by the quadrature method of moments
    • McGraw R 1997 Description of atmospheric aerosol dynamics by the quadrature method of moments Aerosol Sci. Technol. 27 255-65
    • (1997) Aerosol Sci. Technol. , vol.27 , pp. 255-265
    • McGraw, R.1
  • 41
    • 0031558674 scopus 로고    scopus 로고
    • Correlations between fragment sizes in sequential fragmentation
    • Lensu M 1997 Correlations between fragment sizes in sequential fragmentation J. Phys. A: Math. Gen. 30 7501-7
    • (1997) J. Phys. A: Math. Gen. , vol.30 , pp. 7501-7507
    • Lensu, M.1
  • 42
    • 0039924021 scopus 로고    scopus 로고
    • A simple soluble model of discrete sequential fragmentation
    • Delannay R, Le Caer G and Botet R 1996 A simple soluble model of discrete sequential fragmentation J. Phys. A: Math. Gen. 29 6693-9
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 6693-6699
    • Delannay, R.1    Le Caer, G.2    Botet, R.3
  • 43
    • 0025388806 scopus 로고
    • A bimodal integral solution of the dynamic equation for an aerosol undergoing simultaneous particle inception and coagulation
    • Megaridis C M and Dobbins RA 1990 A bimodal integral solution of the dynamic equation for an aerosol undergoing simultaneous particle inception and coagulation Aerosol Sci. Technol. 12 240-55
    • (1990) Aerosol Sci. Technol. , vol.12 , pp. 240-255
    • Megaridis, C.M.1    Dobbins, R.A.2
  • 46
    • 0032024755 scopus 로고    scopus 로고
    • Time evolution to similarity solutions for polymer degradation
    • Madras G and McCoy B J 1998 Time evolution to similarity solutions for polymer degradation AIChE J. 44 647-55
    • (1998) AIChE J. , vol.44 , pp. 647-655
    • Madras, G.1    McCoy, B.J.2
  • 48
    • 84984089081 scopus 로고
    • Fundamentals of the hydrodynamic mechanism splitting in dispersion processes
    • Hinze JO 1955 Fundamentals of the hydrodynamic mechanism splitting in dispersion processes AIChE J. 1 289-95
    • (1955) AIChE J. , vol.1 , pp. 289-295
    • Hinze, J.O.1
  • 49
    • 0032491349 scopus 로고    scopus 로고
    • Theoretical analysis of the steady state particle size distribution in limited breakage processes
    • Kostoglou M and Karabelas A J 1998 Theoretical analysis of the steady state particle size distribution in limited breakage processes J. Phys. A: Math. Gen. 31 8905-21
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 8905-8921
    • Kostoglou, M.1    Karabelas, A.J.2


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