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Volumn 80, Issue 4, 2009, Pages

Accurate simulation dynamics of microscopic filaments using "caterpillar" Oseen hydrodynamics

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC THEORY; CROSS SECTION; EQUAL INTERVALS; EXPLICIT SURFACE; FLUID MOTIONS; HYDRODYNAMIC BEHAVIOR; HYDRODYNAMIC RADIUS; SPECIFIC VALUES; VISCOUS FLUIDS;

EID: 70449120347     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.046707     Document Type: Article
Times cited : (10)

References (39)
  • 1
    • 84890506631 scopus 로고
    • 10.1119/1.10903
    • E. M. Purcell, Am. J. Phys. 45, 3 (1977). 10.1119/1.10903
    • (1977) Am. J. Phys. , vol.45 , pp. 3
    • Purcell, E.M.1
  • 2
  • 13
    • 0028003085 scopus 로고
    • 10.1063/1.868116
    • X. Xu and A. Nadim, Phys. Fluids 6, 2889 (1994). 10.1063/1.868116
    • (1994) Phys. Fluids , vol.6 , pp. 2889
    • Xu, X.1    Nadim, A.2
  • 14
    • 0040927724 scopus 로고    scopus 로고
    • 10.1016/S0167-2789(00)00131-7
    • M. J. Shelley and T. Ueda, Physica D 146, 221 (2000). 10.1016/S0167-2789(00)00131-7
    • (2000) Physica D , vol.146 , pp. 221
    • Shelley, M.J.1    Ueda, T.2
  • 15
    • 33646355968 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.96.158101
    • Y. W. Kim and R. R. Netz, Phys. Rev. Lett. 96, 158101 (2006). 10.1103/PhysRevLett.96.158101
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 158101
    • Kim, Y.W.1    Netz, R.R.2
  • 16
  • 22
  • 28
    • 70449088304 scopus 로고    scopus 로고
    • Ph.D. thesis, Universiteit van Amsterdam
    • R. Argentini, Ph.D. thesis, Universiteit van Amsterdam, 2008.
    • (2008)
    • Argentini, R.1
  • 30
    • 84958431482 scopus 로고
    • 10.1017/S002211207000215X
    • R. G. Cox, J. Fluid Mech. 44, 791 (1970). 10.1017/S002211207000215X
    • (1970) J. Fluid Mech. , vol.44 , pp. 791
    • Cox, R.G.1
  • 31
    • 84931886633 scopus 로고
    • 10.1017/S002211207000191X
    • G. K. Batchelor, J. Fluid Mech. 44, 419 (1970). 10.1017/S002211207000191X
    • (1970) J. Fluid Mech. , vol.44 , pp. 419
    • Batchelor, G.K.1
  • 32
    • 0003213328 scopus 로고
    • 10.1017/S0022112070001908
    • P. K. Tillett, J. Fluid Mech. 44, 401 (1970). 10.1017/S0022112070001908
    • (1970) J. Fluid Mech. , vol.44 , pp. 401
    • Tillett, P.K.1
  • 33
    • 70449108539 scopus 로고    scopus 로고
    • Alternatively, for a given bead spacing b, we can dictate the aspect ratio by introducing a scaling factor δ and by using the more general equations r/b=δβ, a /b=4/ { 3 [2ln (2/δ) +1] }, and a/b=2/ { 3 [2ln (2/δ) -1] }. Solutions exist for δ<1.21. This corresponds to the condition that r/b must be less than 0.681. This is a useful result in that for a specified bead number, one can simulate a filament of a given slenderness at an equivalent computational expense.
    • Alternatively, for a given bead spacing b, we can dictate the aspect ratio by introducing a scaling factor δ and by using the more general equations r/b=δβ, a /b=4/ { 3 [2ln (2/δ) +1] }, and a/b=2/ { 3 [2ln (2/δ) -1] }. Solutions exist for δ<1.21. This corresponds to the condition that r/b must be less than 0.681. This is a useful result in that for a specified bead number, one can simulate a filament of a given slenderness at an equivalent computational expense.
  • 35
    • 70449117131 scopus 로고    scopus 로고
    • We are grateful to Professor A. Nadim for pointing this out to us.
    • We are grateful to Professor A. Nadim for pointing this out to us.
  • 37
    • 70449101929 scopus 로고    scopus 로고
    • The resultant parametrization is a /b=2/ [3 (-ln2+0.839+0.185/p+0.233/ p2 +1)] and a/b=1/ [3 (-ln2-0.207+0.980/p-0.133/ p2 +1)] with r/b=β, where L/d=p for the parametrization.
    • The resultant parametrization is a /b=2/ [3 (-ln2+0.839+0.185/p+0.233/ p2 +1)] and a/b=1/ [3 (-ln2-0.207+0.980/p-0.133/ p2 +1)] with r/b=β, where L/d=p for the parametrization.
  • 39
    • 70449133228 scopus 로고    scopus 로고
    • We calculated the parametrization to match slender body theory using the RP tensor to be a /b ≈ 0.559 and a/b ≈ 0.441, with r/b0.437.
    • We calculated the parametrization to match slender body theory using the RP tensor to be a /b ≈ 0.559 and a /b ≈ 0.441, with r/b 0.437.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.