Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion

In this article, the influence of magnetohydrodynamics (MHD) on cilia motion of particle–fluid suspension through a porous planar channel has been investigated. The governing equations of Casson fluid model for fluid phase and particulate phase are solved by taking the assumption of long wavelength...

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Main Authors: M.M. Bhatti, A. Zeeshan, M.M. Rashidi
Format: Article
Language:English
Published: Elsevier 2017-02-01
Series:Engineering Science and Technology, an International Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S221509861530375X
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author M.M. Bhatti
A. Zeeshan
M.M. Rashidi
author_facet M.M. Bhatti
A. Zeeshan
M.M. Rashidi
author_sort M.M. Bhatti
collection DOAJ
description In this article, the influence of magnetohydrodynamics (MHD) on cilia motion of particle–fluid suspension through a porous planar channel has been investigated. The governing equations of Casson fluid model for fluid phase and particulate phase are solved by taking the assumption of long wavelength and neglecting the inertial forces due to laminar flow. The solutions for the resulting differential equations have been obtained analytically and a close form of solutions is presented. The expression for pressure rise along the whole length of the channel is evaluated numerically. The influences of all the physical parameters are demonstrated graphically. Trapping mechanism has also been discussed with the help of streamlines. It is observed that due to the influence of magnetohydrodynamics and particle volume fraction, velocity of the fluid decreases. It is also found that pressure rise shows similar behaviour for particle volume fraction and Casson fluid parameter.
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spelling doaj.art-e431e4c289934c73883cba18278112b42022-12-22T03:35:15ZengElsevierEngineering Science and Technology, an International Journal2215-09862017-02-0120126527110.1016/j.jestch.2016.03.001Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motionM.M. Bhatti0A. Zeeshan1M.M. Rashidi2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, ChinaDepartment of Mathematics, International Islamic University Islamabad, PakistanShanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai 201804, ChinaIn this article, the influence of magnetohydrodynamics (MHD) on cilia motion of particle–fluid suspension through a porous planar channel has been investigated. The governing equations of Casson fluid model for fluid phase and particulate phase are solved by taking the assumption of long wavelength and neglecting the inertial forces due to laminar flow. The solutions for the resulting differential equations have been obtained analytically and a close form of solutions is presented. The expression for pressure rise along the whole length of the channel is evaluated numerically. The influences of all the physical parameters are demonstrated graphically. Trapping mechanism has also been discussed with the help of streamlines. It is observed that due to the influence of magnetohydrodynamics and particle volume fraction, velocity of the fluid decreases. It is also found that pressure rise shows similar behaviour for particle volume fraction and Casson fluid parameter.http://www.sciencedirect.com/science/article/pii/S221509861530375XCilia motionMagnetohydrodynamicsParticle fluidMetachronal wave
spellingShingle M.M. Bhatti
A. Zeeshan
M.M. Rashidi
Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
Engineering Science and Technology, an International Journal
Cilia motion
Magnetohydrodynamics
Particle fluid
Metachronal wave
title Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
title_full Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
title_fullStr Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
title_full_unstemmed Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
title_short Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion
title_sort influence of magnetohydrodynamics on metachronal wave of particle fluid suspension due to cilia motion
topic Cilia motion
Magnetohydrodynamics
Particle fluid
Metachronal wave
url http://www.sciencedirect.com/science/article/pii/S221509861530375X
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AT mmrashidi influenceofmagnetohydrodynamicsonmetachronalwaveofparticlefluidsuspensionduetociliamotion