Infiltration of MHD liquid into a deformable porous material

Infiltration of MHD liquid into a deformable porous material

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...

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Main Authors: Anum Naseem, Asif Mahmood, J.I. Siddique, Lifeng Zhao
Format: Article
Language:English
Published: Elsevier 2018-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717308677
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spelling doaj-df4e6ffb1945455c8a9c5b0086dd64d82020-11-24T22:28:46ZengElsevierResults in Physics2211-37972018-03-0187175Infiltration of MHD liquid into a deformable porous materialAnum Naseem0Asif Mahmood1J.I. Siddique2Lifeng Zhao3School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, ChinaDepartment of Mathematics, Pennsylvania State University, York Campus, PA 17403, USADepartment of Mathematics, Pennsylvania State University, York Campus, PA 17403, USA; Corresponding author.School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, ChinaWe 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.http://www.sciencedirect.com/science/article/pii/S2211379717308677
collection DOAJ
language English
format Article
sources DOAJ
author Anum Naseem
Asif Mahmood
J.I. Siddique
Lifeng Zhao
spellingShingle Anum Naseem
Asif Mahmood
J.I. Siddique
Lifeng Zhao
Infiltration of MHD liquid into a deformable porous material
Results in Physics
author_facet Anum Naseem
Asif Mahmood
J.I. Siddique
Lifeng Zhao
author_sort Anum Naseem
title Infiltration of MHD liquid into a deformable porous material
title_short Infiltration of MHD liquid into a deformable porous material
title_full Infiltration of MHD liquid into a deformable porous material
title_fullStr Infiltration of MHD liquid into a deformable porous material
title_full_unstemmed Infiltration of MHD liquid into a deformable porous material
title_sort infiltration of mhd liquid into a deformable porous material
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-03-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S2211379717308677
work_keys_str_mv AT anumnaseem infiltrationofmhdliquidintoadeformableporousmaterial
AT asifmahmood infiltrationofmhdliquidintoadeformableporousmaterial
AT jisiddique infiltrationofmhdliquidintoadeformableporousmaterial
AT lifengzhao infiltrationofmhdliquidintoadeformableporousmaterial
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