Flow of a Train of Deformable Fluid Particles in a Tube
-
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.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.
-
Key words:
- 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.
点击查看大图
计量
- 文章访问数: 2080
- HTML全文浏览量: 66
- PDF下载量: 455
- 被引次数: 0