Fractional electro-magneto transport of blood modeled with magnetic particles in cylindrical tube without singular kernel
The electro-kinetic transport of blood flow mixed with magnetic particles in the circular channel was investigated. The flow was subjected to an external electric and uniform magnetic field. The fluid was driven by pressure gradient and perpendicular magnetic field to the flow direction. Due to th...
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Format: | Article |
Language: | English |
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Springer
2020
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Online Access: | http://eprints.uthm.edu.my/875/1/DNJ9857_6b006565c8badcb5514b58ef4b9e46b1.pdf |
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author | Uddin, S. Mohamad, M. Gorji, Mohammad Rahimi Roslan, R. M. Alarifi, Ibrahim |
author_facet | Uddin, S. Mohamad, M. Gorji, Mohammad Rahimi Roslan, R. M. Alarifi, Ibrahim |
author_sort | Uddin, S. |
collection | UTHM |
description | The electro-kinetic transport of blood flow mixed with magnetic particles in the circular channel was investigated. The flow
was subjected to an external electric and uniform magnetic field. The fluid was driven by pressure gradient and perpendicular
magnetic field to the flow direction. Due to the usefulness and suitability of Caputo–Fabrizio fractional order
derivative without singular kernel in fluid flow modeling and mass transfer phenomena, the governing equations were
modeled as Caputo–Fabrizio time fractional partial differential equations and solved for a 2 ð0; 1�. The analytical solutions
for the velocities of blood flow and magnetic particles were obtained by using Laplace, finite Hankel transforms and
Robotnov and Hartley’s functions, respectively. Mathematica software was used to simulate the influences of fractional
parameter a, Hartmann number and Reynolds number on the velocities of blood and magnetic particles. The findings are
important for controlling bio-liquids in the devices used for analysis and diagnosis in biological and medical applications. |
first_indexed | 2024-03-05T21:38:37Z |
format | Article |
id | uthm.eprints-875 |
institution | Universiti Tun Hussein Onn Malaysia |
language | English |
last_indexed | 2024-03-05T21:38:37Z |
publishDate | 2020 |
publisher | Springer |
record_format | dspace |
spelling | uthm.eprints-8752021-10-17T07:06:27Z http://eprints.uthm.edu.my/875/ Fractional electro-magneto transport of blood modeled with magnetic particles in cylindrical tube without singular kernel Uddin, S. Mohamad, M. Gorji, Mohammad Rahimi Roslan, R. M. Alarifi, Ibrahim QA71-90 Instruments and machines The electro-kinetic transport of blood flow mixed with magnetic particles in the circular channel was investigated. The flow was subjected to an external electric and uniform magnetic field. The fluid was driven by pressure gradient and perpendicular magnetic field to the flow direction. Due to the usefulness and suitability of Caputo–Fabrizio fractional order derivative without singular kernel in fluid flow modeling and mass transfer phenomena, the governing equations were modeled as Caputo–Fabrizio time fractional partial differential equations and solved for a 2 ð0; 1�. The analytical solutions for the velocities of blood flow and magnetic particles were obtained by using Laplace, finite Hankel transforms and Robotnov and Hartley’s functions, respectively. Mathematica software was used to simulate the influences of fractional parameter a, Hartmann number and Reynolds number on the velocities of blood and magnetic particles. The findings are important for controlling bio-liquids in the devices used for analysis and diagnosis in biological and medical applications. Springer 2020 Article PeerReviewed text en http://eprints.uthm.edu.my/875/1/DNJ9857_6b006565c8badcb5514b58ef4b9e46b1.pdf Uddin, S. and Mohamad, M. and Gorji, Mohammad Rahimi and Roslan, R. and M. Alarifi, Ibrahim (2020) Fractional electro-magneto transport of blood modeled with magnetic particles in cylindrical tube without singular kernel. Microsystem Technologies, 26. pp. 405-414. https://doi.org/10.1007/s00542-019-04494-0 |
spellingShingle | QA71-90 Instruments and machines Uddin, S. Mohamad, M. Gorji, Mohammad Rahimi Roslan, R. M. Alarifi, Ibrahim Fractional electro-magneto transport of blood modeled with magnetic particles in cylindrical tube without singular kernel |
title | Fractional electro-magneto transport of blood modeled with magnetic
particles in cylindrical tube without singular kernel |
title_full | Fractional electro-magneto transport of blood modeled with magnetic
particles in cylindrical tube without singular kernel |
title_fullStr | Fractional electro-magneto transport of blood modeled with magnetic
particles in cylindrical tube without singular kernel |
title_full_unstemmed | Fractional electro-magneto transport of blood modeled with magnetic
particles in cylindrical tube without singular kernel |
title_short | Fractional electro-magneto transport of blood modeled with magnetic
particles in cylindrical tube without singular kernel |
title_sort | fractional electro magneto transport of blood modeled with magnetic particles in cylindrical tube without singular kernel |
topic | QA71-90 Instruments and machines |
url | http://eprints.uthm.edu.my/875/1/DNJ9857_6b006565c8badcb5514b58ef4b9e46b1.pdf |
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