一串变形液泡在管中的流动

Flow of a Train of Deformable Fluid Particles in a Tube

1.
School of Chemical Engineering & Material Science, Peking Institute of Technology, Beijing 100081, P. R. China;
2.
Department of Chemical Engineering, City College of New York, NY 10031, USA

摘要: 我们使用边界积分法求解一串液泡在管中的运动.当液泡在管中运动,总的正压力不再是常数,这一力使液泡变形和加长.我们发现变形液泡和球状液滴(具有同样的相当直径)运动的速度是不一样的,它随着液泡间距的减小而增加.间距L'/a'对提高速度的影响大于毛细准数的影响.速度的增长随着液泡直径的减少而变得不明显.
- 两相流 /
- 变形 /
- 周期液泡
Abstract: 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.
- two phase flow /
- deformable /
- periodic fluid particle

[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.