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Volumn 63, Issue 6, 2001, Pages

Velocity correlations and diffusion during sedimentation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; DIFFUSION; DYNAMICS; FRICTION; FUNCTIONS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; SEDIMENTATION; VELOCITY; VOLUME FRACTION;

EID: 0035363019     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.061505     Document Type: Article
Times cited : (16)

References (45)
  • 2
    • 85035306446 scopus 로고    scopus 로고
    • A.-L. Barabási and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995)
    • A.-L. Barabási and H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
  • 18
    • 85040800677 scopus 로고
    • Van Nostrand Reinhold, New York
    • B.S. Massey, Mechanics of Fluids, 3rd ed. (Van Nostrand Reinhold, New York, 1975).
    • (1975) Mechanics of Fluids
    • Massey, B.S.1
  • 23
    • 85035304631 scopus 로고    scopus 로고
    • Recently, there have been many studies of the system size dependence of the velocity fluctuations 16 28. In the present case, we find that they increase up to (Formula presented) with no evidence of saturation, in accordance with the lattice-Boltzmann simulations of Ladd 20
    • Recently, there have been many studies of the system size dependence of the velocity fluctuations 1628. In the present case, we find that they increase up to (Formula presented) with no evidence of saturation, in accordance with the lattice-Boltzmann simulations of Ladd 20.
  • 25
    • 0004256130 scopus 로고
    • E. Guyon, and Y. Pomeau, J.-P. Nadal Kluwer Academic, Dordrecht
    • E.J. Hinch, in Disorder and Mixing, edited by E. Guyon, and Y. Pomeau, J.-P. Nadal (Kluwer Academic, Dordrecht, 1988);
    • (1988) Disorder and Mixing
    • Hinch, E.J.1
  • 40
    • 85035308231 scopus 로고    scopus 로고
    • The exact form of the direct two-particle interaction at close range in the fluid is much more complicated. However, in the present case we have checked that the momentum exchange through interparticle collisions is very small as compared to the Stokesian term. We also note that for the relatively low volume fractions used here the mean distances between interparticle collisions are typically much larger than the particle radius. This indicates that the detailed form of the interparticle interaction is not important here
    • The exact form of the direct two-particle interaction at close range in the fluid is much more complicated. However, in the present case we have checked that the momentum exchange through interparticle collisions is very small as compared to the Stokesian term. We also note that for the relatively low volume fractions used here the mean distances between interparticle collisions are typically much larger than the particle radius. This indicates that the detailed form of the interparticle interaction is not important here.
  • 41
    • 0000031708 scopus 로고    scopus 로고
    • A similar idea for the coupling term has also been used with the lattice-Boltzmann method by P. Ahlrichs and B. Dünweg, J. Chem. Phys. 111, 8225 (1999).
    • (1999) J. Chem. Phys. , vol.111 , pp. 8225
    • Ahlrichs, P.1    Dünweg, B.2
  • 44
    • 85035275204 scopus 로고    scopus 로고
    • We note that due to numerical discretization (Formula presented) has a small finite value when extracted from the data
    • We note that due to numerical discretization (Formula presented) has a small finite value when extracted from the data.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.