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Volumn 15, Issue 6, 2003, Pages 1612-1621

Dynamics of particle sedimentation in a vertical channel: Period-doubling bifurcation and chaotic state

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CYLINDERS (SHAPES); REYNOLDS NUMBER;

EID: 0038168790     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1571825     Document Type: Article
Times cited : (49)

References (25)
  • 1
    • 0022269104 scopus 로고
    • The rheology of concentrated suspension of spheres in simple shear flow by numerical simulation
    • J. F. Brady and G. Bossis, "The rheology of concentrated suspension of spheres in simple shear flow by numerical simulation," J. Fluid Mech. 155, 105 (1985).
    • (1985) J. Fluid Mech. , vol.155 , pp. 105
    • Brady, J.F.1    Bossis, G.2
  • 3
    • 84958438608 scopus 로고
    • The behaviour of clusters of spheres falling in a viscous fluid, part 2, slow motion theory
    • L. M. Hocking, "The behaviour of clusters of spheres falling in a viscous fluid, Part 2, slow motion theory," J. Fluid Mech. 20, 129 (1964).
    • (1964) J. Fluid Mech. , vol.20 , pp. 129
    • Hocking, L.M.1
  • 4
    • 0348201153 scopus 로고
    • The hydrodynamic interaction of two unequal spheres moving under gravity through quiescent viscous fluid
    • E. Wacholder and N. F. Sather, "The hydrodynamic interaction of two unequal spheres moving under gravity through quiescent viscous fluid," J. Fluid Mech. 65, 417 (1974).
    • (1974) J. Fluid Mech. , vol.65 , pp. 417
    • Wacholder, E.1    Sather, N.F.2
  • 5
    • 0001081342 scopus 로고
    • Hydrodynamic resistance of particles at small Reynolds numbers
    • H. Brenner, "Hydrodynamic resistance of particles at small Reynolds numbers," Adv. Chem. Eng. 6, 287 (1966).
    • (1966) Adv. Chem. Eng. , vol.6 , pp. 287
    • Brenner, H.1
  • 6
    • 0016000051 scopus 로고
    • Transport properties of two-phase materials with random structure
    • G. K. Batchlor, "Transport properties of two-phase materials with random structure," Annu. Rev. Fluid Mech. 6, 227 (1974).
    • (1974) Annu. Rev. Fluid Mech. , vol.6 , pp. 227
    • Batchlor, G.K.1
  • 7
    • 0018920953 scopus 로고
    • Particle motion in a viscous fluid
    • L. G. Leal, "Particle motion in a viscous fluid," Annu. Rev. Fluid Mech. 12, 435 (1980).
    • (1980) Annu. Rev. Fluid Mech. , vol.12 , pp. 435
    • Leal, L.G.1
  • 9
    • 0032656874 scopus 로고    scopus 로고
    • Numerical simulations of a sphere setting through a suspension of neutrally buoyant fibres
    • O. G. Harlen, R. R. Sundararajakumar, and D. L. Koch, "Numerical simulations of a sphere setting through a suspension of neutrally buoyant fibres," J. Fluid Mech. 388, 355 (1999).
    • (1999) J. Fluid Mech. , vol.388 , pp. 355
    • Harlen, O.G.1    Sundararajakumar, R.R.2    Koch, D.L.3
  • 10
    • 0035837278 scopus 로고    scopus 로고
    • Modelling Rayleigh-Taylor instability of a sedimenting suspension of several thousand circular particles in a direct numerical simulation
    • T. W. Pan, D. D. Joseph, and R. Glowinski, "Modelling Rayleigh-Taylor instability of a sedimenting suspension of several thousand circular particles in a direct numerical simulation," J. Fluid Mech. 434, 23 (2001).
    • (2001) J. Fluid Mech. , vol.434 , pp. 23
    • Pan, T.W.1    Joseph, D.D.2    Glowinski, R.3
  • 11
    • 0035945912 scopus 로고    scopus 로고
    • Measurements of the average properties of a suspension of bubbles rising in a vertical channel
    • R. Zenit, D. L. Koch, and A. S. Sangani, "Measurements of the average properties of a suspension of bubbles rising in a vertical channel," J. Fluid Mech. 429, 307 (2001).
    • (2001) J. Fluid Mech. , vol.429 , pp. 307
    • Zenit, R.1    Koch, D.L.2    Sangani, A.S.3
  • 12
    • 0023141731 scopus 로고
    • Nonlinear mechanics of fluidization of beds of spherical particles
    • A. F. Fortes, D. D. Joseph, and T. S. Lundgren, "Nonlinear mechanics of fluidization of beds of spherical particles," J. Fluid Mech. 177, 467 (1987).
    • (1987) J. Fluid Mech. , vol.177 , pp. 467
    • Fortes, A.F.1    Joseph, D.D.2    Lundgren, T.S.3
  • 13
    • 0037051429 scopus 로고    scopus 로고
    • Slip velocity and lift
    • D. D. Joseph and D. Ocando, "Slip velocity and lift," J. Fluid Mech. 454, 263 (2002).
    • (2002) J. Fluid Mech. , vol.454 , pp. 263
    • Joseph, D.D.1    Ocando, D.2
  • 14
    • 0035838498 scopus 로고    scopus 로고
    • Lift-off of a single particle in Newtonian and viscoelastic fluids by direct numerical simulation
    • N. A. Patankar, P. Y. Huang, T. Ko, and D. D. Joseph, "Lift-off of a single particle in Newtonian and viscoelastic fluids by direct numerical simulation," J. Fluid Mech. 438, 67 (2001).
    • (2001) J. Fluid Mech. , vol.438 , pp. 67
    • Patankar, N.A.1    Huang, P.Y.2    Ko, T.3    Joseph, D.D.4
  • 15
    • 0028160288 scopus 로고
    • Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid, Part 1, Sedimentation
    • J. Feng, H. H. Hu, and D. D. Joseph, "Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid, Part 1, Sedimentation," J. Fluid Mech. 261, 95 (1994).
    • (1994) J. Fluid Mech. , vol.261 , pp. 95
    • Feng, J.1    Hu, H.H.2    Joseph, D.D.3
  • 16
    • 0028461975 scopus 로고
    • Numerical simulations of particulate suspensions via a discretized Boltzmann equation, part 1, theoretical foundation
    • A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation, Part 1, Theoretical foundation," J. Fluid Mech. 271, 285 (1994).
    • (1994) J. Fluid Mech. , vol.271 , pp. 285
    • Ladd, A.J.C.1
  • 17
    • 0028460854 scopus 로고
    • Numerical simulations of particulate suspensions via a discretized Boltzmann equation, part 2, numerical results
    • A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation, Part 2, Numerical results," J. Fluid Mech. 271, 311 (1994).
    • (1994) J. Fluid Mech. , vol.271 , pp. 311
    • Ladd, A.J.C.1
  • 18
    • 34249759076 scopus 로고
    • Lattice-Boltzmann simulation of solid particles suspended in fluid
    • C. K. Aidun and Y. Lu, "Lattice-Boltzmann simulation of solid particles suspended in fluid," J. Stat. Phys. 81, 49 (1995).
    • (1995) J. Stat. Phys. , vol.81 , pp. 49
    • Aidun, C.K.1    Lu, Y.2
  • 20
    • 0032180429 scopus 로고    scopus 로고
    • Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation
    • C. K. Aidun, Y. Lu, and E. Ding, "Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation," J. Fluid Mech. 373, 287 (1998).
    • (1998) J. Fluid Mech. , vol.373 , pp. 287
    • Aidun, C.K.1    Lu, Y.2    Ding, E.3
  • 21
    • 0033670143 scopus 로고    scopus 로고
    • The dynamics and scaling law for particles suspended in shear flow with inertia
    • E. Ding and C. K. Aidun, "The dynamics and scaling law for particles suspended in shear flow with inertia," J. Fluid Mech. 423, 317 (2000).
    • (2000) J. Fluid Mech. , vol.423 , pp. 317
    • Ding, E.1    Aidun, C.K.2
  • 22
    • 0037986309 scopus 로고    scopus 로고
    • Extension of the Lattice-Boltzmann method for direct simulation of suspended particles near contact
    • E. Ding and C. K. Aidun, "Extension of the Lattice-Boltzmann method for direct simulation of suspended particles near contact," J. Stat. Phys. 112, 685 (2003).
    • (2003) J. Stat. Phys. , vol.112 , pp. 685
    • Ding, E.1    Aidun, C.K.2
  • 23
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • P. Grassberger and I. Procassia, "Measuring the strangeness of strange attractors," Physica A 9, 189 (1983).
    • (1983) Physica A , vol.9 , pp. 189
    • Grassberger, P.1    Procassia, I.2
  • 24
    • 43949165886 scopus 로고
    • Estimating correlation dimension from a chaotic time series: When does plateau onset occur?
    • M. Ding, C. Grebogi, E. Ott, T. Sauer, and J. A. Yorke, "Estimating correlation dimension from a chaotic time series: When does plateau onset occur?" Physica D 69, 404 (1993).
    • (1993) Physica D , vol.69 , pp. 404
    • Ding, M.1    Grebogi, C.2    Ott, E.3    Sauer, T.4    Yorke, J.A.5
  • 25
    • 0000532986 scopus 로고    scopus 로고
    • Deterministic point processes generated by threshold crossings: Dynamics reconstruction and chaos control
    • M. Ding and W. Yang, "Deterministic point processes generated by threshold crossings: Dynamics reconstruction and chaos control," Phys. Rev. E 55, 2397 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 2397
    • Ding, M.1    Yang, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.