FLOW OF A TRAIN OF DEFORMABLE FLUID PARTICLES IN A TUBE

I.IntroductionWangandSkalakll]studiedforsolidspheresintubes.HymanandSkalak12--31studiedthemovementofacompactfluidspheres(non-deformable)intubes.Theyonlystudiedcompactdropswhoseradiusesarenotbiggerthan0.7.Pozrikidisl4]studiedthenlotiollofdeformabletluidparticlesintubes.Inthispaper,westudiedtwo-phasenowregime,consistingofaperiodictrainofequallyspacedliquidslugsmovingaxisymmetricallyinacontinuousliquidphasewhichisimmisciblewiththeslugphase(Fig.l(a)).Wereportnumericalsolutionsforthehydrodynamic…

Flow of a train of deformable fluid particles in a tube

In the article, the boundary integral technique is used to solve the hydrodynamicmovement 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 adeformable fluid particle and a sphere (with the same radius) increases as the distancebetween the particles decreases, and that the increase in velocity with E/a' is greaterthe capillary number, and this increase becomes less pronounced as radius decreases.