Capillary absorption in porous sheets and surfaces subject to evaporation

Lockington, DA, Parlange, JY and Lenkopane, M (2007) Capillary absorption in porous sheets and surfaces subject to evaporation. Transport In Porous Media, 68 1: 29-36. doi:10.1007/s11242-006-9056-5

Author Lockington, DA
Parlange, JY
Lenkopane, M
Title Capillary absorption in porous sheets and surfaces subject to evaporation
Journal name Transport In Porous Media   Check publisher's open access policy
ISSN 0169-3913
Publication date 2007-05-01
Sub-type Article (original research)
DOI 10.1007/s11242-006-9056-5
Open Access Status
Volume 68
Issue 1
Start page 29
End page 36
Total pages 8
Place of publication New York, U.S.
Publisher Springer
Language eng
Subject 0203 Classical Physics
020303 Fluid Physics
Abstract Capillary absorption by an initially dry porous sheet or surface is examized. The sheet absorbs moisture from one end while evaporation takes place across its surface. We are interested in the effect of evaporation on the progress and distribution of moisture in the sheet, including the equilibrium moisture profile. The process is modelled using a nonlinear diffusion equation with a linear sink. An algebraic analytical approximation is obtained relating the various physical parameters as well as an exact steady state solution for arbitrary properties. The complete problem is solved numerically. Good agreement is obtained between the analytical and numerical solutions.
Keyword Engineering, Chemical
Capillary flow
Evaporation paper
Nonlinear diffusion
Porous surface
Textured surface
Exponential diffusivity
Power-law diffusivity
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Journal Article Import (ISI/CVs)
Excellence in Research Australia (ERA) - Collection
School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 9 times in Scopus Article | Citations
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Created: Tue, 19 Feb 2008, 03:27:12 EST