Infiltration of MHD liquid into a deformable porous material

Anum Naseem, Asif Mahmood, J. I. Siddique, Lifeng Zhao

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We analyze the capillary rise dynamics for magnetohydrodynamics (MHD) fluid flow through deformable porous material in the presence of gravity effects. The modeling is performed using mixture theory approach and mathematical manipulation yields a nonlinear free boundary problem. Due to the capillary rise action, the pressure gradient in the liquid generates a stress gradient that results in the deformation of porous substrate. The capillary rise process for MHD fluid slows down as compared to Newtonian fluid case. Numerical solutions are obtained using a method of lines approach. The graphical results are presented for important physical parameters, and comparison is presented with Newtonian fluid case.

Original languageEnglish (US)
Pages (from-to)71-75
Number of pages5
JournalResults in Physics
Volume8
DOIs
StatePublished - Mar 2018

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infiltration
porous materials
magnetohydrodynamics
Newtonian fluids
liquids
free boundaries
pressure gradients
fluid flow
manipulators
gravitation
gradients
fluids

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "We analyze the capillary rise dynamics for magnetohydrodynamics (MHD) fluid flow through deformable porous material in the presence of gravity effects. The modeling is performed using mixture theory approach and mathematical manipulation yields a nonlinear free boundary problem. Due to the capillary rise action, the pressure gradient in the liquid generates a stress gradient that results in the deformation of porous substrate. The capillary rise process for MHD fluid slows down as compared to Newtonian fluid case. Numerical solutions are obtained using a method of lines approach. The graphical results are presented for important physical parameters, and comparison is presented with Newtonian fluid case.",
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Infiltration of MHD liquid into a deformable porous material. / Naseem, Anum; Mahmood, Asif; Siddique, J. I.; Zhao, Lifeng.

In: Results in Physics, Vol. 8, 03.2018, p. 71-75.

Research output: Contribution to journalArticle

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AU - Zhao, Lifeng

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AB - We analyze the capillary rise dynamics for magnetohydrodynamics (MHD) fluid flow through deformable porous material in the presence of gravity effects. The modeling is performed using mixture theory approach and mathematical manipulation yields a nonlinear free boundary problem. Due to the capillary rise action, the pressure gradient in the liquid generates a stress gradient that results in the deformation of porous substrate. The capillary rise process for MHD fluid slows down as compared to Newtonian fluid case. Numerical solutions are obtained using a method of lines approach. The graphical results are presented for important physical parameters, and comparison is presented with Newtonian fluid case.

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