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  • Journal of Fluid Mechanics, Volume 615
  • November 2008, pp. 335-344

Imbibition in geometries with axial variations

  • MATHILDE REYSSAT (a1), LAURENT COURBIN (a1), ETIENNE REYSSAT (a1) and HOWARD A. STONE (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112008003996
  • Published online: 25 November 2008
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.

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J. M. Bell & F. K. Cameron 1906 The flow of liquids through capillary spaces. J. Phys. Chem. 10, 658674.

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L. Courbin , E. Denieul , E. Dressaire , M. Roper , A. Ajdari & H. A. Stone 2007 Imbibition by polygonal spreading on microdecorated surfaces. Nature Materials 06, 661664.

A. D. Dussaud , P. M. Adler & A. Lips 2003 Liquid transport in the networked microchannels of the skin surface. Langmuir 19, 73417345.

D. Erickson , D. Li & C. B. Park 2002 Numerical simulations of capillary-driven flows in nonuniform cross-sectional capillaries. J. Colloid Interface Sci. 250, 422430.

V. V. Krotov & A. I. Rusanov 1999 Physicochemical Hydrodynamics of Capillary Systems. Imperial College Press.

V. R. Lucas 1918 Ueber das zeitgesetz des kapillaren aufstiegs von flüssigkeiten. Kolloid Zeistschrift 23, 1522.

K. A. Polzin & E. Y. Choueiri 2003 A similarity parameter for capillary flows. J. Phys. D: Appl. Phys. 36, 31563167.

R. R. Rye , F. G. Yost & E. J. O'Toole 1998 Capillary flow in irregular surface grooves. Langmuir 14, 39373943.

E. W. Washburn 1921 The dynamics of capillary flow. Phys. Rev. 17, 273283.

W. B. Young 2004 Analysis of capillary flows in non-uniform cross-sectional capillaries. Colloids and Surfaces A: Physicochem. Engng Aspects 234, 123128.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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