A new equation for macroscopic description of capillary rise in porous media

被引:40
作者
Lockington, DA [1 ]
Parlange, JY
机构
[1] Univ Queensland, Div Environm Engn, Brisbane, Qld 4072, Australia
[2] Cornell Univ, Dept Biol & Environm Engn, Ithaca, NY 14853 USA
基金
澳大利亚研究理事会;
关键词
water absorption; nonlinear diffusion; rising damp; Washburn equation; interface pinning; capillary fringe;
D O I
10.1016/j.jcis.2004.06.024
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Capillary rise in porous media is frequently modeled using the Washburn equation. Recent accurate measurements of advancing fronts clearly illustrate its failure to describe the phenomenon in the long term. The observed underprediction of the position of the front is due to the neglect of dynamic saturation gradients implicit in the formulation of the Washburn equation. We consider an approximate solution of the governing macroscopic equation, which retains these gradients, and derive new analytical formulae for the position of the advancing front, its speed of propagation, and the cumulative uptake. The new solution properly describes the capillary rise in the long term, while the Washburn equation may be recovered as a special case. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:404 / 409
页数:6
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