Deformations of thin liquid spherical shells in liquid-liquid-gas systems

Deformation characteristics of a millimeter-sized thin liquid spherical shell moving at intermediate Reynolds numbers in immiscible liquid are investigated both numerically and experimentally. Experiments are made using the novel principle of sequential production of the shell developed by the authors. Numerical results of the flow pattern around the liquid shell, deformation ratio, and the drag coefficient are compared to experimental results for wide flow conditions. They are in reasonable agreement from the viewpoint of practical engineering. Furthermore, effects of shell deformation on heat transfer characteristics are also investigated numerically. The present research provides the fluid dynamical knowledge for various applications of liquid spherical shells.

[1]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid , 1984, Journal of Fluid Mechanics.

[2]  S. Kawano.  Flow Patterns around a Spherically Eccentric Encapsulated Liquid Drop at Intermediate Reynolds Numbers , 1998 .

[3]  Numerical investigation of the steady viscous flow past a stationary deformable bubble , 1985 .

[4]  S. Kawano,et al.  Drag Coefficient of a Spherical Encapsulated Liquid Drop , 1992 .

[5]  Settling of encapsulated droplets at low Reynolds numbers , 1983 .

[6]  H. Oǧuz,et al.  Stokes flow past compound multiphase drops: the case of completely engulfed drops/bubbles , 1985, Journal of Fluid Mechanics.

[7]  K. Landman.  Stability of a viscous compound fluid drop , 1985 .

[8]  S. Kawano.  Molecular dynamics of rupture phenomena in a liquid thread , 1998 .

[9]  H. Bauer.  Oscillations of immiscible liquids in free space or in spherical containers in zero-gravity environment , 1982 .

[10]  Growth and translation of a liquid-vapour compound drop in a second liquid. Part 1. Fluid mechanics , 1989 .

[11]  S. Sadhal,et al.  Growth and collapse of translating compound multiphase drops: analysis of fluid mechanics and heat transfer , 1987, Journal of Fluid Mechanics.

[12]  G. Manolis,et al.  Nonlinear oscillations of liquid shells in zero gravity , 1991, Journal of Fluid Mechanics.

[13]  Norman N. Li.  Permeation through liquid surfactant membranes , 1971 .

[14]  S. Kawano,et al.  A Study on Encapsulated Liquid Drop Formation in Liquid-Liquid-Gas Systems : Fundamental Mechanism of Encapsulated Drop Formation , 1990 .

[15]  Robert E. Johnson,et al.  Stokes flow past bubbles and drops partially coated with thin films. Part 1. Stagnant cap of surfactant film – exact solution , 1983, Journal of Fluid Mechanics.

[16]  S. Kawano,et al.  Sequential Production of mm-Sized Spherical Shells in Liquid-Liquid Gas Systems , 1996 .

[17]  H. Bauer.  Surface- and interface oscillations of freely floating spheres of immiscible viscous liquids , 1983 .

[18]  Robert A. Brown,et al.  Dynamic centering of liquid shells , 1987 .

[19]  H. R. Pruppacher,et al.  Some relations between drag and flow pattern of viscous flow past a sphere and a cylinder at low and intermediate Reynolds numbers , 1970, Journal of Fluid Mechanics.

[20]  Taylor G. Wang,et al.  Sensational spherical shells , 1986 .

[21]  S. Kawano,et al.  DEFORMATION AND BREAKUP OF AN ANNULAR LIQUID SHEET IN A GAS STREAM , 1997 .

[22]  Joe F. Thompson,et al.  Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies , 1974 .

[23]  C. P. Lee,et al.  A theoretical model for centering of a thin viscous liquid shell in free and forced capillary oscillations , 1996 .

[24]  Howard A. Stone,et al.  Breakup of concentric double emulsion droplets in linear flows , 1990, Journal of Fluid Mechanics.

[25]  Satoyuki Kawano,et al.  A Numerical Study on Motion of a Sphere Coated With a Thin Liquid Film at Intermediate Reynolds Numbers , 1997 .

[26]  Robert E. Johnson.  Stokes flow past a sphere coated with a thin fluid film , 1981, Journal of Fluid Mechanics.

[27]  S. Kawano,et al.  Heat and Fluid Flow of Two Immiscible Liquid Layers in Vertical Cylindrical Container : Application to Device for Sequential Production of Solid Spherical Shells in Liquid-Liquid-Gas Systems , 1996 .

[28]  T. Hayase,et al.  Transit Characteristics of a Neutrophil Passing Through a Circular Constriction in a Cylindrical Capillary Vessel (Effect of Mechanical Properties of the Cell and Constriction Geometry) , 2002 .

[29]  A. Anilkumar,et al.  Core centering of immiscible compound drops in capillary oscillations : Experimental observations , 2001 .

[30]  Wei Shyy,et al.  Hydrodynamics of a compound drop with application to leukocyte modeling , 1998 .

[31]  J. Kendall.  Experiments on annular liquid jet instability and on the formation of liquid shells , 1986 .

[32]  S. Kawano,et al.  Small-Amplitude Oscillations of Encapsulated Liquid Drop Interfaces , 1997 .

[33]  Mark Bathe,et al.  Neutrophil transit times through pulmonary capillaries: the effects of capillary geometry and fMLP-stimulation. , 2002, Biophysical journal.

[34]  S. Kawano,et al.  Mass transfer around a moving encapsulated liquid drop , 1993 .

[35]  Tomoyuki Yambe,et al.  Computational Design of Vibration Pumping Device for Artificial Heart , 2001 .

[36]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[37]  Robert E. Johnson,et al.  Stokes flow past bubbles and drops partially coated with thin films. Part 2. Thin films with internal circulation – a perturbation solution , 1983, Journal of Fluid Mechanics.

[38]  C. H. Hertz,et al.  A liquid compound jet , 1983, Journal of Fluid Mechanics.

[39]  D. Weihs,et al.  Stability of rapidly evaporating droplets and liquid shells , 2001 .

[40]  S. Sadhal,et al.  Fluid Mechanics of Compound Multiphase Drops and Bubbles , 1985 .

[41]  Chun‐Ping Lee,et al.  The centring dynamics of a thin liquid shell in capillary oscillations , 1988, Journal of Fluid Mechanics.