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Volumn 82, Issue 10, 2002, Pages 699-722

Model equations and instability regions for the sedimentation of polydisperse suspensions of spheres

Author keywords

Hyperbolic conservation laws; Hyperbolic elliptic equations; Instability region; Kinematic model; Mixed systems of conservation laws; Polydisperse suspensions

Indexed keywords


EID: 0942281520     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200210)82:10<699::aid-zamm699>3.0.co;2-%23     Document Type: Article
Times cited : (58)

References (73)
  • 1
    • 0020128883 scopus 로고
    • Analysis of vertical pneumatic conveying of solids using multiphase flow models
    • ARASTOOPOUR, H.; LIN, S. C.; WEIL, S. A.: Analysis of vertical pneumatic conveying of solids using multiphase flow models. AIChE J. 28 (1982), 467-473.
    • (1982) AIChE J. , vol.28 , pp. 467-473
    • Arastoopour, H.1    Lin, S.C.2    Weil, S.A.3
  • 4
    • 0020140472 scopus 로고
    • Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory
    • BATCHELOR, G. K.: Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory. J. Fluid Mech. 119 (1982), 379-408.
    • (1982) J. Fluid Mech. , vol.119 , pp. 379-408
    • Batchelor, G.K.1
  • 5
    • 0022720178 scopus 로고
    • Structure formation in bidispersc sedimentation
    • BATCHELOR, G. K.; JANSE VAN RENSBURG, R. W.: Structure formation in bidispersc sedimentation. J. Fluid Mech. 166 (1986), 379-407.
    • (1986) J. Fluid Mech. , vol.166 , pp. 379-407
    • Batchelor, G.K.1    Janse Van Rensburg, R.W.2
  • 6
    • 0020206881 scopus 로고
    • Sedimentation in a dilute polydispcrse system of interacting spheres. Part 2. Numerical results
    • BATCHELOR, G. K.; WEN, C. S.: Sedimentation in a dilute polydispcrse system of interacting spheres. Part 2. Numerical results. J. Fluid Mech. 124 (1982), 495-528.
    • (1982) J. Fluid Mech. , vol.124 , pp. 495-528
    • Batchelor, G.K.1    Wen, C.S.2
  • 7
    • 0022890421 scopus 로고
    • Conservation laws of mixed type describing three-phase flow in porous media
    • BELL, J. B.; TRANGENSTEIN, J. A.; SHUBIN, G. R.: Conservation laws of mixed type describing three-phase flow in porous media. SIAM J. Appl. Math. 46 (1986), 1000-1017.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 1000-1017
    • Bell, J.B.1    Trangenstein, J.A.2    Shubin, G.R.3
  • 8
    • 84896693270 scopus 로고    scopus 로고
    • Comments on "A generalized empirical description for particle slip velocities in liquid fluidizcd beds" by K.P. Calvin, S. Pratten and G. Nguyen Tran Lam [Chemical Engineering Science 54 (1999) 1045-1052]
    • BIESHEUVEL, P. M.: Comments on "A generalized empirical description for particle slip velocities in liquid fluidizcd beds" by K.P. Calvin, S. Pratten and G. Nguyen Tran Lam [Chemical Engineering Science 54 (1999) 1045-1052]. Chem. Eng. Sci. 55 (2000), 1945-1947.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 1945-1947
    • Biesheuvel, P.M.1
  • 9
    • 0034616041 scopus 로고    scopus 로고
    • Particle segregation during pressure filtration for cast formation
    • BIESHEUVEL, P. M.: Particle segregation during pressure filtration for cast formation. Chem. Eng. Sci. 55 (2000), 2595-2606.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 2595-2606
    • Biesheuvel, P.M.1
  • 10
    • 0033880582 scopus 로고    scopus 로고
    • Calculation of the composition profile of a functionally graded material produced by centrifugal casting
    • BIESHEUVEL, P. M.; VERWEIJ, H.: Calculation of the composition profile of a functionally graded material produced by centrifugal casting. J. Amer. Ceram. Soc. 83 (2000), 743-749.
    • (2000) J. Amer. Ceram. Soc. , vol.83 , pp. 743-749
    • Biesheuvel, P.M.1    Verweij, H.2
  • 11
    • 0035132879 scopus 로고    scopus 로고
    • Evaluation of instability criterion for bidisperse sedimentation
    • BIESHEUVEL, P. M.; VERWEIJ, H.; BREEDVELD, V.: Evaluation of instability criterion for bidisperse sedimentation. AIChE J. 47 (2001), 45-52.
    • (2001) AIChE J. , vol.47 , pp. 45-52
    • Biesheuvel, P.M.1    Verweij, H.2    Breedveld, V.3
  • 15
    • 0034352374 scopus 로고    scopus 로고
    • Phenomenological foundation and mathematical theory of sedimentation-consolidation processes
    • BÜRGER, R.: Phenomenological foundation and mathematical theory of sedimentation-consolidation processes. Chem. Eng. J. 80 (2000), 177-188.
    • (2000) Chem. Eng. J. , vol.80 , pp. 177-188
    • Bürger, R.1
  • 16
    • 0035499638 scopus 로고    scopus 로고
    • Settling velocities of particulate systems: 12. Batch centrifugation of flocculated suspensions
    • BÜRGER, R.; CONCHA, F.: Settling velocities of particulate systems: 12. Batch centrifugation of flocculated suspensions. Int. J. Mineral Process. 63 (2001), 115-145.
    • (2001) Int. J. Mineral Process , vol.63 , pp. 115-145
    • Bürger, R.1    Concha, F.2
  • 17
    • 0342844387 scopus 로고    scopus 로고
    • Numerical simulation of the settling of polydisperse suspensions of spheres
    • BÜRGER, R.; CONCHA, F.; FJELDE, K.-K.; KARLSEN, K. H.: Numerical simulation of the settling of polydisperse suspensions of spheres. Powder Technol. 113 (2000), 30-54.
    • (2000) Powder Technol. , vol.113 , pp. 30-54
    • Bürger, R.1    Concha, F.2    Fjelde, K.-K.3    Karlsen, K.H.4
  • 18
    • 0035498948 scopus 로고    scopus 로고
    • Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations
    • BÜRGER, R.; FJELDE, K.-K.; HÖFLER, K.; KARLSEN, K.H.: Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations. J. Eng. Math. 41 (2001), 167-187.
    • (2001) J. Eng. Math. , vol.41 , pp. 167-187
    • Bürger, R.1    Fjelde, K.-K.2    Höfler, K.3    Karlsen, K.H.4
  • 19
    • 0038247504 scopus 로고    scopus 로고
    • Model equations for gravitational sedimentation-consolidation processes
    • BÜRGER, R.; WENDLAND, W.L.; CONCHA, F.: Model equations for gravitational sedimentation-consolidation processes. ZAMM 80 (2000), 79-92.
    • (2000) ZAMM , vol.80 , pp. 79-92
    • Bürger, R.1    Wendland, W.L.2    Concha, F.3
  • 22
    • 33748515842 scopus 로고    scopus 로고
    • A century of research in sedimentation and thickening
    • to appear
    • CONCHA, F.; BÜRGER, R.: A century of research in sedimentation and thickening. KONA Powder and Particle (to appear).
    • KONA Powder and Particle
    • Concha, F.1    Bürger, R.2
  • 23
    • 0001332439 scopus 로고
    • Effects of surface roughness on a sphere sedimenting through a dilute suspension of neutrally buoyant spheres
    • DAVIS, R. H.: Effects of surface roughness on a sphere sedimenting through a dilute suspension of neutrally buoyant spheres. Phys. Fluids A 4 (1992), 2607-2619.
    • (1992) Phys. Fluids A , vol.4 , pp. 2607-2619
    • Davis, R.H.1
  • 24
    • 0030088290 scopus 로고    scopus 로고
    • Hydrodynamic diffusion of suspended particles: A symposium
    • DAVIS, R. H.: Hydrodynamic diffusion of suspended particles: a symposium. J. Fluid Mech. 310 (1996), 325-335.
    • (1996) J. Fluid Mech. , vol.310 , pp. 325-335
    • Davis, R.H.1
  • 25
    • 0028387875 scopus 로고
    • Hindered settling function with no empirical parameters for polydisperse suspensions
    • DAVIS, R. H.; GECOL, H.: Hindered settling function with no empirical parameters for polydisperse suspensions. AIChE J. 40 (1994), 570-575.
    • (1994) AIChE J. , vol.40 , pp. 570-575
    • Davis, R.H.1    Gecol, H.2
  • 26
    • 0030153109 scopus 로고    scopus 로고
    • Classification of concentrated suspensions using inclined settlers
    • DAVIS, R. H.; GECOL, H.: Classification of concentrated suspensions using inclined settlers. Int. J. Multiphase Flow 22 (1996), 563-574.
    • (1996) Int. J. Multiphase Flow , vol.22 , pp. 563-574
    • Davis, R.H.1    Gecol, H.2
  • 27
    • 0020547432 scopus 로고
    • Mathematical modeling of two-phase flow
    • DREW, D. A.: Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15 (1983), 261-291.
    • (1983) Ann. Rev. Fluid Mech. , vol.15 , pp. 261-291
    • Drew, D.A.1
  • 28
    • 0028806956 scopus 로고
    • Settling behaviour of concentrated dispersions and some volcanological applications
    • DRUITT, T. H.: Settling behaviour of concentrated dispersions and some volcanological applications. J. Volcanol. Geotherm. Res. 65 (1995), 27-39.
    • (1995) J. Volcanol. Geotherm. Res. , vol.65 , pp. 27-39
    • Druitt, T.H.1
  • 29
    • 0019592099 scopus 로고
    • Convective solids settling induced by a buoyant phase
    • FESSAS, Y. P.; WEILAND, R. H.: Convective solids settling induced by a buoyant phase. AIChE J. 27 (1981), 588-592.
    • (1981) AIChE J. , vol.27 , pp. 588-592
    • Fessas, Y.P.1    Weiland, R.H.2
  • 30
    • 0021475599 scopus 로고
    • The settling of suspensions promoted by rigid buoyant spheres
    • FESSAS, Y. P.; WEILAND, R. H.: The settling of suspensions promoted by rigid buoyant spheres. Int. J. Multiphase Flow 10 (1984), 485-507.
    • (1984) Int. J. Multiphase Flow , vol.10 , pp. 485-507
    • Fessas, Y.P.1    Weiland, R.H.2
  • 31
    • 0005739463 scopus 로고
    • Mixed systems of conservation laws in industrial mathematical modelling
    • FITT, A. D.: Mixed systems of conservation laws in industrial mathematical modelling. Surv. Math. Indust. 6 (1990), 21-53.
    • (1990) Surv. Math. Indust. , vol.6 , pp. 21-53
    • Fitt, A.D.1
  • 32
    • 0042900319 scopus 로고
    • Mathematical modeling of polydisperse suspensions sedimentation
    • FLOTATS, X.: Mathematical modeling of polydisperse suspensions sedimentation. Hung. J. Ind. Chem. 23 (1995), 215-221.
    • (1995) Hung. J. Ind. Chem. , vol.23 , pp. 215-221
    • Flotats, X.1
  • 33
    • 0001237844 scopus 로고
    • Existence and asymptotic behavior of measure-valued solutions for three-phase flow in porous media
    • FRID, H.: Existence and asymptotic behavior of measure-valued solutions for three-phase flow in porous media. J. Math. Anal. Appl. 196 (1995), 614-627.
    • (1995) J. Math. Anal. Appl. , vol.196 , pp. 614-627
    • Frid, H.1
  • 34
    • 21844506359 scopus 로고
    • Oscillation waves in Riemann problems inside elliptic regions for conservation laws of mixed type
    • FRID, H.; LIU, I-S.: Oscillation waves in Riemann problems inside elliptic regions for conservation laws of mixed type. Z. Angew. Math. Phys. 46 (1995), 913-931.
    • (1995) Z. Angew. Math. Phys. , vol.46 , pp. 913-931
    • Frid, H.1    Liu, I.-S.2
  • 35
    • 0032654667 scopus 로고    scopus 로고
    • A generalized empirical description for particle slip velocities in liquid fluidized beds
    • GALVIN, K. P.; PRATTEN, S.; NGUYEN TRAN LAM, G.: A generalized empirical description for particle slip velocities in liquid fluidized beds. Chem. Eng. Sci. 54 (1999), 1045-1052.
    • (1999) Chem. Eng. Sci. , vol.54 , pp. 1045-1052
    • Galvin, K.P.1    Pratten, S.2    Nguyen Tran Lam, G.3
  • 38
    • 0004541470 scopus 로고
    • Some qualitative properties of 2 × 2 systems of conservation laws of mixed type
    • Springer Verlag, New York
    • HOLDEN, H.; HOLDEN, L.; RISEBRO, N. H.: Some qualitative properties of 2 × 2 systems of conservation laws of mixed type. IMA Volumes in Mathematics and Its Applications 27 (1990), Springer Verlag, New York pp. 67-78.
    • (1990) IMA Volumes in Mathematics and its Applications , vol.27 , pp. 67-78
    • Holden, H.1    Holden, L.2    Risebro, N.H.3
  • 40
    • 0002830330 scopus 로고    scopus 로고
    • The structure of bidisperse suspensions at low Reynolds numbers
    • SANDIG, A.-M.; SCHIEHLEN, W.; WENDLAND, W. L. (eds.). Springer Verlag, Berlin
    • HÖFLER, K.; SCHWARZER, S.: The structure of bidisperse suspensions at low Reynolds numbers. In: SANDIG, A.-M.; SCHIEHLEN, W.; WENDLAND, W. L. (eds.): Multifield problems: State of the art. Springer Verlag, Berlin 2000, pp. 42-49.
    • (2000) Multifield Problems: State of the Art , pp. 42-49
    • Höfler, K.1    Schwarzer, S.2
  • 42
    • 0029756410 scopus 로고    scopus 로고
    • Some basic principles in interaction calculations
    • TORY, E. M. (ed.). Computational Mechanics Publications, Southampton, UK
    • JEFFREY, J. D.: Some basic principles in interaction calculations. In: TORY, E. M. (ed.): Sedimentation of small particles in a viscous fluid. Computational Mechanics Publications, Southampton, UK, 1996, pp. 96-124.
    • (1996) Sedimentation of Small Particles in a Viscous Fluid , pp. 96-124
    • Jeffrey, J.D.1
  • 43
    • 84981804520 scopus 로고
    • A geometric theory of conservation laws which change type
    • KEYFITZ, B. L.: A geometric theory of conservation laws which change type. ZAMM 75 (1995), 571-581.
    • (1995) ZAMM , vol.75 , pp. 571-581
    • Keyfitz, B.L.1
  • 45
    • 0010086308 scopus 로고
    • A theory of sedimentation
    • KYNCH, G. J.: A theory of sedimentation. Trans. Faraday Soc. 48 (1952), 166-176.
    • (1952) Trans. Faraday Soc. , vol.48 , pp. 166-176
    • Kynch, G.J.1
  • 46
    • 36449008138 scopus 로고
    • Dynamical simulations of sedimenting spheres
    • LADD, A. J. C.: Dynamical simulations of sedimenting spheres. Phys. Fluids A 5 (1993), 299-310.
    • (1993) Phys. Fluids A , vol.5 , pp. 299-310
    • Ladd, A.J.C.1
  • 47
    • 0023245825 scopus 로고
    • Gravity separation of bidisperse suspensions: Light and heavy particle species
    • LAW, H.-S.; MASLIYAH, J. H.; MACTAGGART, R. S.; NANDAKUMAR, K.: Gravity separation of bidisperse suspensions: light and heavy particle species. Chem. Eng. Sci. 42 (1987), 1527-1538.
    • (1987) Chem. Eng. Sci. , vol.42 , pp. 1527-1538
    • Law, H.-S.1    Masliyah, J.H.2    Mactaggart, R.S.3    Nandakumar, K.4
  • 48
    • 0018519033 scopus 로고
    • Sedimentation of binary particle mixtures
    • LOCKETT, M. J.; BASSOON, K. S.: Sedimentation of binary particle mixtures. Powder Technol. 24 (1979), 1-7.
    • (1979) Powder Technol. , vol.24 , pp. 1-7
    • Lockett, M.J.1    Bassoon, K.S.2
  • 50
    • 33748498616 scopus 로고    scopus 로고
    • Theory of three-phase flow applied to water-alternating-gas enhanced oil recovery
    • FREISTÜHLER, H.; WERNECKE, G. (eds.). Birkhäuser Verlag, Basel
    • MARCHESIN, D.; PLOHR, B.: Theory of three-phase flow applied to water-alternating-gas enhanced oil recovery. In: FREISTÜHLER, H.; WERNECKE, G. (eds.): Hyperbolic problems: Theory, numerics, applications. Vol. 2. Birkhäuser Verlag, Basel 2001, pp. 693-702.
    • (2001) Hyperbolic Problems: Theory, Numerics, Applications , vol.2 , pp. 693-702
    • Marchesin, D.1    Plohr, B.2
  • 51
    • 0001045627 scopus 로고
    • Hindered settling in a multiple-species particle system
    • MASLIYAH, J. H.: Hindered settling in a multiple-species particle system. Chem. Eng. Sci. 34 (1979), 1166-1168.
    • (1979) Chem. Eng. Sci. , vol.34 , pp. 1166-1168
    • Masliyah, J.H.1
  • 52
    • 0002124586 scopus 로고
    • Stable viscosity matrices for system of conservation laws
    • MAJDA, A.; PEGO, R. L.: Stable viscosity matrices for system of conservation laws. J. Diff. Eqns. 56 (1985), 229-262.
    • (1985) J. Diff. Eqns. , vol.56 , pp. 229-262
    • Majda, A.1    Pego, R.L.2
  • 53
    • 0016880562 scopus 로고
    • Vertical pneumatic conveying of binary particle mixtures
    • KEAIRNS, D.L. (ed.). Hemisphere Publ. Corp., Washington
    • NAKAMURA, K.; CAPES, C. E.: Vertical pneumatic conveying of binary particle mixtures. In: KEAIRNS, D.L. (ed.): Fluidization technology, Vol. 2. Hemisphere Publ. Corp., Washington, 1976, pp. 159-184.
    • (1976) Fluidization Technology , vol.2 , pp. 159-184
    • Nakamura, K.1    Capes, C.E.2
  • 55
    • 0021820323 scopus 로고
    • Sedimentation and liquid fluidization of solid particles of different sizes and densities
    • PATWARDHAN, V. S.; TIEN, C.: Sedimentation and liquid fluidization of solid particles of different sizes and densities. Chem. Eng. Sci. 40 (1985), 1051-1060.
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 1051-1060
    • Patwardhan, V.S.1    Tien, C.2
  • 56
    • 0002180587 scopus 로고
    • Instabilities in Glimm's scheme for two systems of mixed type
    • PEGO, R. L.; SERRE, D.: Instabilities in Glimm's scheme for two systems of mixed type. SIAM J. Numer. Anal. 25 (1988), 965-988.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 965-988
    • Pego, R.L.1    Serre, D.2
  • 57
    • 0018545372 scopus 로고
    • Experimental implications of a Markov model for sedimentation
    • PICKARD, D. K.; TORY, E. M.: Experimental implications of a Markov model for sedimentation. J. Math. Anal. Appl. 72 (1979), 150-176.
    • (1979) J. Math. Anal. Appl. , vol.72 , pp. 150-176
    • Pickard, D.K.1    Tory, E.M.2
  • 58
    • 0027009844 scopus 로고
    • Numerical simulation of polydisperse sedimentation: Equal-sized spheres
    • REVAY, J. M.; HIGDON, J. J. L.: Numerical simulation of polydisperse sedimentation: equal-sized spheres. J. Fluid Mech. 243 (1992), 15-32.
    • (1992) J. Fluid Mech. , vol.243 , pp. 15-32
    • Revay, J.M.1    Higdon, J.J.L.2
  • 61
    • 0017327547 scopus 로고
    • Three-component analysis of blood sedimentation by the method of characteristics
    • SARTORY, W. K.: Three-component analysis of blood sedimentation by the method of characteristics. Math. Biosci. 33 (1977), 145-165.
    • (1977) Math. Biosci. , vol.33 , pp. 145-165
    • Sartory, W.K.1
  • 62
    • 0023341727 scopus 로고
    • Hydrodynamics of sedimentation of multisizcd particles
    • Sum, Y. T.; GlDASPOW, D.; WASAN, D. T.: Hydrodynamics of sedimentation of multisizcd particles. Powder Technol. 50 (1987), 201-215.
    • (1987) Powder Technol. , vol.50 , pp. 201-215
    • Sum, Y.T.1    Gldaspow, D.2    Wasan, D.T.3
  • 63
    • 0034352360 scopus 로고    scopus 로고
    • Stochastic sedimentation and hydrodynamic diffusion
    • TORY, E. M.: Stochastic sedimentation and hydrodynamic diffusion. Chem. Eng. J. 80 (2000), 81-89.
    • (2000) Chem. Eng. J. , vol.80 , pp. 81-89
    • Tory, E.M.1
  • 64
    • 0343990044 scopus 로고    scopus 로고
    • Mean velocities in polydisperse suspensions
    • TORY, E. M.; KAMEL, M. T.: Mean velocities in polydisperse suspensions. Powder Technol. 93 (1997), 199-207.
    • (1997) Powder Technol. , vol.93 , pp. 199-207
    • Tory, E.M.1    Kamel, M.T.2
  • 67
    • 0021412735 scopus 로고
    • On centrifugal separation of particles of two different sizes
    • UNGARISH, M.; GREENSPAN, H. P.: On centrifugal separation of particles of two different sizes. Int. J. Multiphase Flow 10 (1984), 133-148.
    • (1984) Int. J. Multiphase Flow , vol.10 , pp. 133-148
    • Ungarish, M.1    Greenspan, H.P.2
  • 68
    • 0006591744 scopus 로고
    • B. Eng. Thesis, Dept. of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada
    • VERHOEVEN, J.: Prediction of batch settling behavior. B. Eng. Thesis, Dept. of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada, 1963.
    • (1963) Prediction of Batch Settling Behavior
    • Verhoeven, J.1
  • 69
    • 0348201153 scopus 로고
    • The hydrodynamic interaction of two unequal spheres moving under gravity through quiescent viscous fluid
    • WACHOLDER, E.; SATHER, N. F.: The hydrodynamic interaction of two unequal spheres moving under gravity through quiescent viscous fluid. J. Fluid Mech. 65 (1974), 417-437.
    • (1974) J. Fluid Mech. , vol.65 , pp. 417-437
    • Wacholder, E.1    Sather, N.F.2
  • 71
    • 0021421760 scopus 로고
    • On instabilities arising during sedimentation of two-component mixtures of solids
    • WEILAND, R. H.; FESSAS, Y. P.; RAMARAO, B. V.: On instabilities arising during sedimentation of two-component mixtures of solids. J. Fluid Mech. 142 (1984), 383-389.
    • (1984) J. Fluid Mech. , vol.142 , pp. 383-389
    • Weiland, R.H.1    Fessas, Y.P.2    Ramarao, B.V.3
  • 72
    • 0027676145 scopus 로고
    • Sedimentation of solid particles in oil-in-watcr emulsions
    • YAN, Y.; MASLIYAH, J. II.: Sedimentation of solid particles in oil-in-watcr emulsions. Int. J. Multiphase Flow 19 (1993), 875-886.
    • (1993) Int. J. Multiphase Flow , vol.19 , pp. 875-886
    • Yan, Y.1    Masliyah II, J.2
  • 73
    • 0022094111 scopus 로고
    • Theory of density separation of particulate systems
    • ZIMMELS, Y.: Theory of density separation of particulate systems. Powder Technol. 43 (1985), 127-139.
    • (1985) Powder Technol. , vol.43 , pp. 127-139
    • Zimmels, Y.1


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