Capillary rise of magnetohydrodynamics liquid into deformable porous material

J. Siddique, A. Kara

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a non-linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects.

Original languageEnglish (US)
Pages (from-to)2837-2843
Number of pages7
JournalJournal of Applied Fluid Mechanics
Volume9
Issue number6
DOIs
Publication statusPublished - Jan 1 2016

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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