Formation of beads-on-a-string structures during break-up of viscoelastic filaments

[1]  L. E. Scriven,et al.  Theoretical modeling of microstructured liquids: a simple thermodynamic approach , 2004 .

[2]  L. Rayleigh On The Instability Of Jets , 1878 .

[3]  Charles Vernon Boys,et al.  Soap-bubbles and the forces which mould them. : Being a course of three lectures delivered in the theatre of the London institution on the afternoons of Dec. 30, 1889, Jan. 1 and 3, 1890, before a juvenile audience , 2018 .

[4]  M. Vingerhoeds,et al.  Saliva as research material: biochemical, physicochemical and practical aspects. , 2007, Archives of oral biology.

[5]  S. Goren The instability of an annular thread of fluid , 1962, Journal of Fluid Mechanics.

[6]  D'arcy W. Thompson On Growth and Form , 1945 .

[7]  Matteo Pasquali,et al.  Beads-on-string formation during filament pinch-off: Dynamics with the PTT model for non-affine motion , 2009 .

[8]  J. W. Hoyt,et al.  Turbulence structure in a water jet discharging in air , 1977 .

[9]  D. Bonn,et al.  Droplet detachment and satellite bead formation in viscoelastic fluids. , 2005, Physical review letters.

[10]  Patrick K. Notz,et al.  Satellite drops: Unexpected dynamics and change of scaling during pinch-off , 2001 .

[11]  A. Rozhkov,et al.  Breakup of an Oldroyd liquid bridge as a method for testing the rheological properties of polymer solutions1 , 2001 .

[12]  J. Eggers,et al.  The beads-on-string structure of viscoelastic threads , 2003, Journal of Fluid Mechanics.

[13]  U. Landman,et al.  Formation, stability, and breakup of nanojets , 2000, Science.

[14]  D. Bousfield,et al.  Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments , 1986 .

[15]  O. Basaran,et al.  Drop formation from a capillary tube: Comparison of one-dimensional and two-dimensional analyses and occurrence of satellite drops , 2002 .

[16]  Pradeep P. Bhat,et al.  Dynamics of viscoelastic liquid filaments: low capillary number flows , 2008 .

[17]  Hsueh-Chia Chang,et al.  Iterated stretching of viscoelastic jets , 1999 .

[18]  José Manuel Perales Perales,et al.  Stability of liquid bridges between equal disks in an axial gravity field , 1993 .

[19]  A. Yarin Free Liquid Jets and Films: Hydrodynamics and Rheology , 1993 .

[20]  Iterated stretching and multiple beads-on-a-string phenomena in dilute solutions of highly extensible flexible polymers , 2005, cond-mat/0502212.

[21]  E. Hinch,et al.  Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid , 1997 .

[22]  O. Basaran,et al.  Repeated formation of fluid threads in breakup of a surfactant-covered jet. , 2005, Physical review letters.

[23]  T. Dupont,et al.  Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation , 1992, physics/0110081.

[24]  Osman A. Basaran,et al.  Tip streaming from a liquid drop forming from a tube in a co-flowing outer fluid , 2006 .

[25]  J. Eggers Nonlinear dynamics and breakup of free-surface flows , 1997 .

[26]  Hsueh-Chia Chang,et al.  Drop formation during coating of vertical fibres , 1994, Journal of Fluid Mechanics.

[27]  M. Brenner,et al.  A Cascade of Structure in a Drop Falling from a Faucet , 1994, Science.

[28]  J. Eggers,et al.  Blistering pattern and formation of nanofibers in capillary thinning of polymer solutions. , 2008, Physical review letters.

[29]  R. Shinnar,et al.  Breakup of a laminar capillary jet of a viscoelastic fluid , 1969, Journal of Fluid Mechanics.

[30]  G. McKinley,et al.  Iterated Stretching, Extensional Rheology and Formation of Beads-on-a-String Structures in Polymer Solutions , 2006 .

[31]  L. Walker,et al.  Surface tension driven jet break up of strain-hardening polymer solutions , 2001 .

[32]  C. Medaglia,et al.  A Numerical Study , 2005 .

[33]  L. Scriven,et al.  The fluid mechanics of slide coating , 1989, Journal of Fluid Mechanics.

[34]  G. McKinley,et al.  ‘Gobbling drops’: the jetting–dripping transition in flows of polymer solutions , 2009, Journal of Fluid Mechanics.

[35]  O. Basaran,et al.  Nonlinear deformation and breakup of stretching liquid bridges , 1996, Journal of Fluid Mechanics.

[36]  Daniel R. Lester,et al.  Drop formation dynamics of constant low-viscosity, elastic fluids , 2002 .

[37]  J. Cooper-White,et al.  Drop formation and breakup of low viscosity elastic fluids: Effects of molecular weight and concentration , 2006 .

[38]  S. Goren The shape of a thread of liquid undergoing break-up , 1964 .

[39]  D. V. Boger,et al.  The effects of polymer concentration and molecular weight on the breakup of laminar capillary jets , 1998 .

[40]  M. Webster,et al.  Modelling filament stretching flows with strain-hardening models and sub-cell approximations , 2006 .

[41]  Jens Eggers Dynamics of liquid nanojets. , 2002, Physical review letters.

[42]  D. Papageorgiou ON THE BREAKUP OF VISCOUS LIQUID THREADS , 1995 .

[43]  Alvin U. Chen,et al.  Computational and experimental analysis of pinch-off and scaling. , 2002, Physical review letters.

[44]  E. Villermaux,et al.  Physics of liquid jets , 2008 .

[45]  Jason R Stokes,et al.  Viscoelasticity of human whole saliva collected after acid and mechanical stimulation. , 2007, Biorheology.

[46]  J. Eggers,et al.  Universal pinching of 3D axisymmetric free-surface flow. , 1993, Physical review letters.

[47]  R. Collins,et al.  Electrohydrodynamic tip streaming and emission of charged drops from liquid cones , 2008 .

[48]  Darrell H. Reneker,et al.  Electrospinning of Nanofibers from Polymer Solutions and Melts , 2007 .

[49]  M. Fontelos,et al.  Drop dynamics on the beads-on-string structure for viscoelastic jets: A numerical study , 2003 .

[50]  M. Pasquali,et al.  Free surface flows of polymer solutions with models based on the conformation tensor , 2002 .