Modeling Wicking in Deformable Porous Media Using Mixture Theory

Daniel M. Anderson, Javed I. Siddique

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations


In this chapter, we examine the phenomena of capillary wicking with a focus on mixture theory models of deformable porous materials. Wicking, or the imbibition of a liquid into a porous material through capillary suction, occurs in a wide variety of physical processes. These include familiar ones such as the clean up of liquid spills using paper towels or sponges and the design of fabrics ranging from yarn (Pezron et al. 1995; Monaenkova and Kornev 2010) to high-tech fabrics for the optimization of wicking and cooling/drying properties in sports performance clothing (socks, shirts, caps, etc.). They also occur in environmental phenomena ranging from flows through sand or soils (e.g., Bear 1972) to the capillary rise of water into snow (Coléou et al. 1999; Jordan et al. 1999) and industrial processes such as coating and imbibition of iron ore pellets to optimize their performance (Pavlovets 2010). These examples include scenarios where the penetration of the fluid into a porous material is accompanied by the deformation of the porous material. A fascinating historical perspective on the foundations of porous media, including mixture theory and early competing ideas on the description of deformable porous solids, is given in the book by de Boer (2000).

Original languageEnglish (US)
Title of host publicationWicking in Porous Materials
Subtitle of host publicationTraditional and Modern Modeling Approaches
PublisherCRC Press
Number of pages32
ISBN (Electronic)9781439874332
ISBN (Print)9781138076105
StatePublished - Jan 1 2012

All Science Journal Classification (ASJC) codes

  • General Engineering
  • General Materials Science


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