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Analytical approach for the Lucas-Washburn equation

Hamraoui, A and Nylander, Tommy LU (2002) In Journal of Colloid and Interface Science 250(2). p.415-421
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... (More)
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). (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
dynamic contact angle, wetting-line fraction, capillary rise
in
Journal of Colloid and Interface Science
volume
250
issue
2
pages
415 - 421
publisher
Elsevier
external identifiers
  • wos:000176074000017
  • scopus:0036352970
ISSN
1095-7103
DOI
10.1006/jcis.2002.8288
language
English
LU publication?
yes
id
4a6f21ae-0c23-4041-bf5f-d00e50ded62e (old id 336047)
date added to LUP
2007-08-23 11:38:18
date last changed
2017-11-19 03:38:04
@article{4a6f21ae-0c23-4041-bf5f-d00e50ded62e,
  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).},
  author       = {Hamraoui, A and Nylander, Tommy},
  issn         = {1095-7103},
  keyword      = {dynamic contact angle,wetting-line fraction,capillary rise},
  language     = {eng},
  number       = {2},
  pages        = {415--421},
  publisher    = {Elsevier},
  series       = {Journal of Colloid and Interface Science},
  title        = {Analytical approach for the Lucas-Washburn equation},
  url          = {http://dx.doi.org/10.1006/jcis.2002.8288},
  volume       = {250},
  year         = {2002},
}