메뉴 건너뛰기




Volumn 17, Issue 7, 2005, Pages 1-13

Analytical solutions for a spherical particle near a wall in axisymmetrical polynomial creeping flows

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CREEP; FUNCTIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; PRESSURE EFFECTS;

EID: 23044445679     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1955272     Document Type: Article
Times cited : (29)

References (23)
  • 1
    • 0001454828 scopus 로고
    • "The slow motion of a sphere through a viscous fluid towards a plane surface"
    • CESCAC 0009-2509 10.10/0009-2509(61)80035-3
    • H. Brenner, "The slow motion of a sphere through a viscous fluid towards a plane surface" Chem. Eng. Sci.CESCAC0009-250910.1016/ 0009-2509(61)80035-3 16, 242 (1961).
    • (1961) Chem. Eng. Sci. , vol.16 , pp. 242
    • Brenner, H.1
  • 2
    • 0001634647 scopus 로고
    • "End effects in a falling-sphere viscometer"
    • BJAPAJ 0508-3443 10.1088/0508-3443//6/306
    • A. D. Maude, "End effects in a falling-sphere viscometer," Br. J. Appl. Phys.BJAPAJ0508-344310.1088/0508-3443/12/6/306 12, 293 (1961).
    • (1961) Br. J. Appl. Phys. , vol.12 , pp. 293
    • Maude, A.D.1
  • 3
    • 0000194682 scopus 로고
    • "On the hydrodynamic resistance to a particle of a dilute suspension when in the neighbourhood of a large obstacle"
    • CESCAC 0009-2509
    • S. L. Goren and M. E. O'Neill, "On the hydrodynamic resistance to a particle of a dilute suspension when in the neighbourhood of a large obstacle," Chem. Eng. Sci.CESCAC0009-2509 26, 325 (1971).
    • (1971) Chem. Eng. Sci. , vol.26 , pp. 325
    • Goren, S.L.1    O'Neill, M.E.2
  • 4
    • 0030088286 scopus 로고    scopus 로고
    • "Motion of a solid sphere in a general flow near a plane boundary at zero Reynolds number"
    • JLEMAU 0022-0833
    • R. G. Cox, "Motion of a solid sphere in a general flow near a plane boundary at zero Reynolds number," J. Eng. Math.JLEMAU0022-0833 30, 177 (1996).
    • (1996) J. Eng. Math. , vol.30 , pp. 177
    • Cox, R.G.1
  • 5
    • 0018931656 scopus 로고
    • "Particle motions in a viscous fluid"
    • ARVFA3 0066-4189 10.1146/annurev.fl..010180.002251
    • L. G. Leal, "Particle motions in a viscous fluid," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fl.12.010180.002251 12, 435 (1980).
    • (1980) Annu. Rev. Fluid Mech. , vol.12 , pp. 435
    • Leal, L.G.1
  • 6
    • 0002497224 scopus 로고
    • "A slow rotation of viscous liquid caused by the rotation of a solid sphere"
    • MTKAAB 0025-5793
    • W. R. Dean and M. E. O'Neill, "A slow rotation of viscous liquid caused by the rotation of a solid sphere," MathematikaMTKAAB0025-5793 10, 13 (1963).
    • (1963) Mathematika , vol.10 , pp. 13
    • Dean, W.R.1    O'Neill, M.E.2
  • 7
    • 84916072476 scopus 로고
    • "A slow motion of viscous liquid caused by a slowly moving solid sphere"
    • MTKAAB 0025-5793
    • M. E. O'Neill, "A slow motion of viscous liquid caused by a slowly moving solid sphere," MathematikaMTKAAB0025-5793 11, 67 (1964).
    • (1964) Mathematika , vol.11 , pp. 67
    • O'Neill, M.E.1
  • 8
    • 84974082655 scopus 로고
    • "A slow motion of viscous liquid caused by a slowly moving solid sphere"
    • MTKAAB 0025-5793
    • M. E. O'Neill, "A slow motion of viscous liquid caused by a slowly moving solid sphere," MathematikaMTKAAB0025-5793 14, 170 (1967).
    • (1967) Mathematika , vol.14 , pp. 170
    • O'Neill, M.E.1
  • 9
    • 0038383166 scopus 로고    scopus 로고
    • "Creeping flow around a sphere in shear flow close to a wall"
    • QJMMAV 0033-14
    • M. Chaoui and F. Feuillebois, "Creeping flow around a sphere in shear flow close to a wall," Q. J. Mech. Appl. Math.QJMMAV0033-5614 56, 381 (2003).
    • (2003) Q. J. Mech. Appl. Math. , vol.56 , pp. 381
    • Chaoui, M.1    Feuillebois, F.2
  • 10
    • 33444475603 scopus 로고    scopus 로고
    • FEMLAB, version 2.2. Technical report, COMSOL company, Stockholm
    • FEMLAB, version 2.2. Technical report, COMSOL company, Stockholm, 2003.
    • (2003)
  • 11
    • 0022129377 scopus 로고
    • "On the deformation of two droplets in a quasisteady Stokes flow"
    • IJMFBP 0301-9322
    • E. Chervenivanova and Z. Zapryanov, "On the deformation of two droplets in a quasisteady Stokes flow," Int. J. Multiphase FlowIJMFBP0301-9322 11, 721 (1985).
    • (1985) Int. J. Multiphase Flow , vol.11 , pp. 721
    • Chervenivanova, E.1    Zapryanov, Z.2
  • 12
    • 0003837817 scopus 로고    scopus 로고
    • Dynamics of Bubbles, Drops and Rigid Particles
    • (Kluwer, Dordrecht)
    • Z. Zapryanov and S. Tabakova, Dynamics of Bubbles, Drops and Rigid Particles (Kluwer, Dordrecht, 1998).
    • (1998)
    • Zapryanov, Z.1    Tabakova, S.2
  • 14
    • 0001008945 scopus 로고
    • "On a form of the solution of Laplace's equation suitable for problems relating to two spheres"
    • PRLAAZ 0950-1207
    • G. B. Jeffery, "On a form of the solution of Laplace's equation suitable for problems relating to two spheres," Proc. R. Soc. London, Ser. APRLAAZ0950-1207 87, 109 (1912).
    • (1912) Proc. R. Soc. London, Ser. A , vol.87 , pp. 109
    • Jeffery, G.B.1
  • 15
    • 0026103049 scopus 로고
    • "Slow motion of a solid sphere in the presence of a naturally permeable surface"
    • QJMMAV 0033-5614
    • M. E. O'Neill and B. S. Bhatt, "Slow motion of a solid sphere in the presence of a naturally permeable surface," Q. J. Mech. Appl. Math.QJMMAV0033-5614 44, 91 (1991).
    • (1991) Q. J. Mech. Appl. Math. , vol.44 , pp. 91
    • O'Neill, M.E.1    Bhatt, B.S.2
  • 16
    • 0000253982 scopus 로고
    • "The motion of two spheres in a viscous fluid"
    • PRLAAZ 0950-1207
    • M. Stimson and G. B. Jeffery, "The motion of two spheres in a viscous fluid," Proc. R. Soc. London, Ser. APRLAAZ0950-1207 111, 110-116 (1926).
    • (1926) Proc. R. Soc. London, Ser. A , vol.111 , pp. 110-116
    • Stimson, M.1    Jeffery, G.B.2
  • 17
    • 0038796618 scopus 로고
    • "Migration d'une particule proche d'une paroi en écoulement de cisaillement"
    • Ph.D. thesis, Université Pierre et Marie Curie (Paris 6)
    • M. Chaoui, "Migration d'une particule proche d'une paroi en écoulement de cisaillement," Ph.D. thesis, Université Pierre et Marie Curie (Paris 6), 1995.
    • (1995)
    • Chaoui, M.1
  • 18
    • 0035521254 scopus 로고    scopus 로고
    • "Fluid force on a particle falling toward a wall"
    • JIJEEE 1340-8054 10.1299/jsmeb
    • S. Harada, T. Tanaka, and Y. Tsuji, "Fluid force on a particle falling toward a wall, "JSME Int. J., Ser. BJIJEEE1340-805410.1299/ jsmeb.44.520 44, 520 (2001).
    • (2001) JSME Int. J., Ser. B , vol.44 , pp. 520
    • Harada, S.1    Tanaka, T.2    Tsuji, Y.3
  • 19
    • 0343036718 scopus 로고
    • "Forces and stresslets for axisymmetric motion of nearly touching unequal spheres"
    • PPHYD8 0191-9059
    • D. J. Jeffrey and R. M. Corless, "Forces and stresslets for axisymmetric motion of nearly touching unequal spheres," PCH, PhysicoChem. Hydrodyn.PPHYD80191-9059 10, 461 (1988).
    • (1988) PCH, PhysicoChem. Hydrodyn. , vol.10 , pp. 461
    • Jeffrey, D.J.1    Corless, R.M.2
  • 20
    • 33444465153 scopus 로고    scopus 로고
    • See EPAPS Document No. E-PHFLE6-17-035507 for details about friction coefficients: numerical results, comparisons with other authors and interpolation formulas with tables of coefficients. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage
    • See EPAPS Document No. E-PHFLE6-17-035507 for details about friction coefficients: Numerical results, comparisons with other authors and interpolation formulas with tables of coefficients. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).
  • 21
    • 77952889884 scopus 로고
    • "Viscous and resistive eddies near a sharp corner"
    • JFLSA7 0022-20
    • H. K. Moffatt, "Viscous and resistive eddies near a sharp corner," J. Fluid Mech.JFLSA70022-1120 18, 1 (1964).
    • (1964) J. Fluid Mech. , vol.18 , pp. 1
    • Moffatt, H.K.1
  • 22
    • 33444464793 scopus 로고
    • "Application of bipolar coordinates to the two-dimensional creeping motion of a liquid"
    • JUPSAU 0031-9015
    • S. Wakiya, "Application of bipolar coordinates to the two-dimensional creeping motion of a liquid," J. Phys. Soc. Jpn.JUPSAU0031-9015 39, 1113 (1975).
    • (1975) J. Phys. Soc. Jpn. , vol.39 , pp. 1113
    • Wakiya, S.1
  • 23
    • 0016885299 scopus 로고
    • "Separation from the surface of two equal spheres in Stokes flow"
    • JFLSA7 0022-1120
    • A. M. J. Davis, M. E. O'Neill, J. M. Dorrepaal, and K. B. Ranger, "Separation from the surface of two equal spheres in Stokes flow," J. Fluid Mech.JFLSA70022-1120 77, 625 (1976).
    • (1976) Fluid Mech. , vol.77 , pp. 625
    • Davis, A.M.1    O'Neill, M.E.2    Dorrepaal, J.M.3    Ranger, K.B.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.