Wetting on two parallel fibers: drop to column transitions

While the shape and stability of drops on single cylindrical fibers have received vast attention, there are few studies that consider a drop sitting between two fibers, which is a first step toward understanding the wetting of larger fibrous networks. In this paper, we investigate experimentally the behavior of a finite volume of liquid on two parallel rigid fibers. The liquid wetting the fibers can adopt two distinct equilibrium shapes: a compact approximately hemispherical drop shape or a long liquid column of constant cross-section. These two morphologies depend on the inter-fiber distance, the liquid volume, the fiber radius and the liquid–fiber contact angle. We study the transitions between a drop shape and a column by incrementally varying the inter-fiber distance and find that the transition depends on the global geometry of the system as well as on the volume of liquid. For totally wetting drops, we identify the regions where the drops or columns prevail, and find that there is a region where both morphologies are stable, and the transitions from one state to the other are hysteretic. These switches in morphologies may be used to manipulate or transport liquid at small scales.

[1]  P. Contal,et al.  Clogging of fibre filters by submicron droplets. Phenomena and influence of operating conditions , 2004 .

[2]  T. Ohzono,et al.  Morphological transformation of a liquid micropattern on dynamically tunable microwrinkles. , 2010, Langmuir : the ACS journal of surfaces and colloids.

[3]  Y. Gogotsi,et al.  Nanoengineered Nanofibrous Materials , 2004 .

[4]  S. Herminghaus,et al.  Switching liquid morphologies on linear grooves. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[5]  Martin Brinkmann,et al.  Drops on functional fibers: from barrels to clamshells and back , 2011 .

[6]  D. Quéré,et al.  Drops on a conical wire , 2004, Journal of Fluid Mechanics.

[7]  Morphological transitions of capillary rise in a bundle of two and three solid parallel cylinders , 2006 .

[8]  B. Carroll,et al.  Equilibrium conformations of liquid drops on thin cylinders under forces of capillarity. A theory for the roll-up process , 1986 .

[9]  Glen McHale,et al.  The shape and stability of small liquid drops on fibers , 2001 .

[10]  Anindya Ghosh,et al.  Wetting and Wicking in Fibrous Materials , 2006 .

[11]  Nicolas Vandewalle,et al.  Digital microfluidics on a wire , 2009 .

[12]  B. Carroll The accurate measurement of contact angle, phase contact areas, drop volume, and Laplace excess pressure in drop-on-fiber systems , 1976 .

[13]  H. M. Princen Capillary phenomena in assemblies of parallel cylinders: III. Liquid Columns between Horizontal Parallel Cylinders , 1970 .

[14]  B. Miller,et al.  Liquid Rise Between Filaments in a V-Configuration , 1967 .

[15]  Lenz,et al.  Liquid morphologies on structured surfaces: from microchannels to microchips , 1999, Science.

[16]  Heng-Kwong Tsao,et al.  Equilibrium phase diagram of drop-on-fiber: coexistent states and gravity effect. , 2011, Langmuir : the ACS journal of surfaces and colloids.

[17]  A. Rijke,et al.  The Feather Structure of Dippers: Water Repellency and Resistance to Water Penetration , 2010 .

[18]  K. A. Vaynberg,et al.  Droplets wetting on filament rails: surface energy and morphology transition. , 2010, Journal of colloid and interface science.

[19]  Reinhard Lipowsky,et al.  Wetting morphologies at microstructured surfaces. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[20]  A. Schwartz,et al.  The Migration of Liquids in Textile Assemblies , 1959 .

[21]  H. Stone,et al.  Wetting of flexible fibre arrays , 2012, Nature.