caa a22 4500 463163672 CHVBK 20180406164755.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s11242-006-9056-5 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9056-5 Capillary absorption in porous sheets and surfaces subject to evaporation [Elektronische Daten] [D. Lockington, J. Parlange, M. Lenkopane] Capillary absorption by an initially dry porous sheet or surface is examined. 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. Springer Science+Business Media, Inc., 2006 Capillary flow nationallicence Evaporation nationallicence Paper nationallicence Chromatography nationallicence Nonlinear diffusion nationallicence Porous surface nationallicence Textured surface nationallicence Exponential diffusivity nationallicence Power-law diffusivity nationallicence Lockington D. Centre for Water Studies, School of Engineering, University of Queensland, 4072, Brisbane, Australia aut Parlange J. Department of Biological and Environmental Engineering, Cornell University, 14853, Ithaca, NY, USA aut Lenkopane M. Centre for Water Studies, School of Engineering, University of Queensland, 4072, Brisbane, Australia aut Transport in Porous Media Kluwer Academic Publishers 68/1(2007-05-01), 29-36 0169-3913 68:1<29 2007 68 11242 https://doi.org/10.1007/s11242-006-9056-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9056-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lockington D. Centre for Water Studies, School of Engineering, University of Queensland, 4072, Brisbane, Australia aut NATIONALLICENCE 700 1- Parlange J. Department of Biological and Environmental Engineering, Cornell University, 14853, Ithaca, NY, USA aut NATIONALLICENCE 700 1- Lenkopane M. Centre for Water Studies, School of Engineering, University of Queensland, 4072, Brisbane, Australia aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 68/1(2007-05-01), 29-36 0169-3913 68:1<29 2007 68 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer