Skip to main content
×
Home
    • Aa
    • Aa

Imbibition in geometries with axial variations

  • MATHILDE REYSSAT (a1), LAURENT COURBIN (a1), ETIENNE REYSSAT (a1) and HOWARD A. STONE (a1)
Abstract

When surface wetting drives liquids to invade porous media or microstructured materials with uniform channels, the penetration distance is known to increase as the square root of time. We demonstrate, experimentally and theoretically, that shape variations of the channel, in the flow direction, modify this ‘diffusive’ response. At short times, the shape variations are not significant and the imbibition is still diffusive. However, at long times, different power-law responses occur, and their exponents are uniquely connected to the details of the geometry. Experiments performed with conical tubes clearly show the two theoretical limits. Several extensions of these ideas are described.

Copyright
References
Hide All
Bell J. M. & Cameron F. K. 1906 The flow of liquids through capillary spaces. J. Phys. Chem. 10, 658674.
Bico J., Tordeux C. & Quéré D. 2001 Rough wetting. Europhys. Lett. 55, 214220.
Courbin L., Denieul E., Dressaire E., Roper M., Ajdari A. & Stone H. A. 2007 Imbibition by polygonal spreading on microdecorated surfaces. Nature Materials 06, 661664.
Dullien F. A. L. 1979 Porous Media. Fluid Transport and Pore Structure. Academic.
Dussaud A. D., Adler P. M. & Lips A. 2003 Liquid transport in the networked microchannels of the skin surface. Langmuir 19, 73417345.
Erickson D., Li D. & Park C. B. 2002 Numerical simulations of capillary-driven flows in nonuniform cross-sectional capillaries. J. Colloid Interface Sci. 250, 422430.
Krotov V. V. & Rusanov A. I. 1999 Physicochemical Hydrodynamics of Capillary Systems. Imperial College Press.
Lucas V. R. 1918 Ueber das zeitgesetz des kapillaren aufstiegs von flüssigkeiten. Kolloid Zeistschrift 23, 1522.
Polzin K. A. & Choueiri E. Y. 2003 A similarity parameter for capillary flows. J. Phys. D: Appl. Phys. 36, 31563167.
Romero L. A. & Yost F. G. 1996 Flow in an open channel capillary. J. Fluid Mech. 322, 109129.
Rye R. R., Yost F. G. & O'Toole E. J. 1998 Capillary flow in irregular surface grooves. Langmuir 14, 39373943.
Warren P. B. 2004 Late stage kinetics for various wicking and spreading problems. Phys. Rev. E 69, 041601.
Washburn E. W. 1921 The dynamics of capillary flow. Phys. Rev. 17, 273283.
Weislogel M. M. & Lichter S. 1998 Capillary flow in an interior corner. J. Fluid Mech. 373, 349378.
Young W. B. 2004 Analysis of capillary flows in non-uniform cross-sectional capillaries. Colloids and Surfaces A: Physicochem. Engng Aspects 234, 123128.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 105 *
Loading metrics...

Abstract views

Total abstract views: 172 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 19th October 2017. This data will be updated every 24 hours.