Infiltration of MHD liquid into a deformable porous material

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

doi:10.1016/j.rinp.2017.10.059

Infiltration of MHD liquid into a deformable porous material

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

Penn State York

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English (US)
Pages (from-to)	71-75
Number of pages	5
Journal	Results in Physics
Volume	8
DOIs	https://doi.org/10.1016/j.rinp.2017.10.059
State	Published - Mar 2018

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1016/j.rinp.2017.10.059

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@article{52a7081293554990a0df835129f9b355,

title = "Infiltration of MHD liquid into a deformable porous material",

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.",

author = "Anum Naseem and Asif Mahmood and Siddique, {J. I.} and Lifeng Zhao",

note = "Funding Information: This material is based on work supported by the Simons Foundation grant number 281839$^3$ and Penn State York$^{2,3}$. Appendix A Publisher Copyright: {\textcopyright} 2017",

year = "2018",

month = mar,

doi = "10.1016/j.rinp.2017.10.059",

language = "English (US)",

volume = "8",

pages = "71--75",

journal = "Results in Physics",

issn = "2211-3797",

publisher = "Elsevier BV",

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TY - JOUR

T1 - Infiltration of MHD liquid into a deformable porous material

AU - Naseem, Anum

AU - Mahmood, Asif

AU - Siddique, J. I.

AU - Zhao, Lifeng

PY - 2018/3

Y1 - 2018/3

N2 - 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.

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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UR - http://www.scopus.com/inward/citedby.url?scp=85040791669&partnerID=8YFLogxK

U2 - 10.1016/j.rinp.2017.10.059

DO - 10.1016/j.rinp.2017.10.059

M3 - Article

AN - SCOPUS:85040791669

SN - 2211-3797

VL - 8

SP - 71

EP - 75

JO - Results in Physics

JF - Results in Physics

ER -

Infiltration of MHD liquid into a deformable porous material

Abstract

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