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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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 |
_version_ |
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