Chen Jinnan, Charles Maldarelli. Flow of a Train of Deformable Fluid Particles in a Tube[J]. Applied Mathematics and Mechanics, 1998, 19(7): 609-618.
Citation: Chen Jinnan, Charles Maldarelli. Flow of a Train of Deformable Fluid Particles in a Tube[J]. Applied Mathematics and Mechanics, 1998, 19(7): 609-618.

Flow of a Train of Deformable Fluid Particles in a Tube

  • Received Date: 1996-05-27
  • Publish Date: 1998-07-15
  • In the article,the boundary integral technique is used to solve the hydrodynamic movement of a train of deformable fluid particles in a tube.When a fluid particle is ina tube,the total normal stress difference is not constant and more.this force tends todistend and elongate the particle.We find that the difference between the velocity of a deformable fluid particle and a sphere(with the same radius) increases as the distance between the particles decreases,and that the increase in velocity with L'/a' is greaterthe capillary number,and this increase becomes less pronounced as radius decreases.
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  • [1]
    H.Wang and R.Skalak,Viscous flow in a cylindrical tube containing a line of sphericalparticles,J.Fluid Mech.,38(1986),75.
    [2]
    W.A.Hyman and R.Skalak,Non-Newtonian behavior of a suspension of liquid dropsin tube flow,AIChE J.,181(1972),149-160.
    [3]
    W.A.Hyman and R.Skalak,Viscous flow of a suspension of liquid dropes in acylindrical tube,Appl.Sci.Res.,26(1972),27-52.
    [4]
    C.Pozrikidis,The buoyancy-driven motion of a train of viscous drops within acylindrical tube,J.Fluid Mech.,237(1992),627-648.
    [5]
    H.Happel and H.Brenner,Low Reynolde Number Hydrodynamics,NoordhoofInternational Pub.,Leyden(1973).
    [6]
    G.K.Youngren and A.Acrivos,Stokes flow past a particle of arbitrary shape:anumerical method of solution,J.Fluid Mech.,69(1975),377-403.
    [7]
    C.Pozrikidis,Boundary Integral and Singularity Methods for Linearized Viscous Flow,Cambridge University Press(1992).
    [8]
    H.Tozeren,Boundary integral equation method for some stokes now problem,Intl.J.Numer.Mech.Fluids,4(1984),159-170.
    [9]
    M.Abramowitz and I.A.Stegun,Handbook of Mathematical Functions,Dover(1972).
    [10]
    M.J.Lighthill,An introduction to Fourier Analysis and Generalized Functions,CambridgeUniversity Press(1958).
    [11]
    O.A.Ladyzhenskaya,The Mathematical Theory of Viscous incompressible Flow,Gordon& Breach(1963).
    [12]
    Chen Jinnan,Z.Dagan and C.Maldarelli,The axisymmetric thermocapillary motion ofa particle in a tube,J.Fluid Mech.,233(1991),405-437.
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