Analytical approach for the Lucas-Washburn equation

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Abstract

Porous media can be characterized by studying the kinetics of liquid rise within the pore spaces. Although porous media generally have a complex structure, they can be modeled as a single, vertical capillary or as an assembly of such capillaries. The main difficulties lie in separately estimating the effective mean radius of the capillaries and the contact angle between the liquid and the pore. In this paper we circumvent these obstacies by exploring another approach and suggest an analytical approach of the classical Lucas-Washburn equation (LWE). Specifically, we consider that the contact angle between the liquid meniscus and the inner surface of the capillary becomes a dynamic contact angle when the liquid front is in movement. It has previously been demonstrated that the resulting time dependence is due to frictional dissipation at the moving wetting front. (C) 2002 Elsevier Science (USA).

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Physical Chemistry

Keywords

  • dynamic contact angle, wetting-line fraction, capillary rise
Original languageEnglish
Pages (from-to)415-421
JournalJournal of Colloid and Interface Science
Volume250
Issue number2
Publication statusPublished - 2002
Publication categoryResearch
Peer-reviewedYes