Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel
The article presents the mixed finite element formulation for examining the biomagnetic fluid dynamics as governed by the Navier–Stokes equation, coupled with energy and magnetic expressions. Both ferrohydrodynamics and magnetohydrodynamics describe the additional magnetic effects. For model discret...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2022
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| Online Access: | http://eprints.utm.my/102927/1/ErwanHafiziKasiman2022_MixedFiniteElementFormulationforNavier.pdf |
| _version_ | 1796867360340049920 |
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| author | Kasiman, Erwan Hafizi Kueh, Ahmad Beng Hong Mohd. Yassin, Airil Yasreen Saidina Amin, Norsarahaida Amran, Mugahed Fediuk, Roman Kotov, Evgenii Vladimirovich Gunasekaran, Murali |
| author_facet | Kasiman, Erwan Hafizi Kueh, Ahmad Beng Hong Mohd. Yassin, Airil Yasreen Saidina Amin, Norsarahaida Amran, Mugahed Fediuk, Roman Kotov, Evgenii Vladimirovich Gunasekaran, Murali |
| author_sort | Kasiman, Erwan Hafizi |
| collection | ePrints |
| description | The article presents the mixed finite element formulation for examining the biomagnetic fluid dynamics as governed by the Navier–Stokes equation, coupled with energy and magnetic expressions. Both ferrohydrodynamics and magnetohydrodynamics describe the additional magnetic effects. For model discretization, the Galerkin weighted residual method was performed. Departing from a good agreement with existing findings, a biomagnetic flow (blood) in a straight rectangular conduit was then simulated in the presence of a spatially changing magnetic distribution. By virtue of negligible spatial variation influence from the magnetic field, the effects of Lorentz force were not presently considered. It was further found that the model accurately exhibits the formation and distribution of vortices, temperature, and skin friction located adjacent to and remotely from the source of magnetic load following a rise in the magnetic intensity. |
| first_indexed | 2024-03-05T21:26:04Z |
| format | Article |
| id | utm.eprints-102927 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T21:26:04Z |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | utm.eprints-1029272023-10-01T00:52:35Z http://eprints.utm.my/102927/ Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel Kasiman, Erwan Hafizi Kueh, Ahmad Beng Hong Mohd. Yassin, Airil Yasreen Saidina Amin, Norsarahaida Amran, Mugahed Fediuk, Roman Kotov, Evgenii Vladimirovich Gunasekaran, Murali TA Engineering (General). Civil engineering (General) The article presents the mixed finite element formulation for examining the biomagnetic fluid dynamics as governed by the Navier–Stokes equation, coupled with energy and magnetic expressions. Both ferrohydrodynamics and magnetohydrodynamics describe the additional magnetic effects. For model discretization, the Galerkin weighted residual method was performed. Departing from a good agreement with existing findings, a biomagnetic flow (blood) in a straight rectangular conduit was then simulated in the presence of a spatially changing magnetic distribution. By virtue of negligible spatial variation influence from the magnetic field, the effects of Lorentz force were not presently considered. It was further found that the model accurately exhibits the formation and distribution of vortices, temperature, and skin friction located adjacent to and remotely from the source of magnetic load following a rise in the magnetic intensity. MDPI 2022-04-02 Article PeerReviewed application/pdf en http://eprints.utm.my/102927/1/ErwanHafiziKasiman2022_MixedFiniteElementFormulationforNavier.pdf Kasiman, Erwan Hafizi and Kueh, Ahmad Beng Hong and Mohd. Yassin, Airil Yasreen and Saidina Amin, Norsarahaida and Amran, Mugahed and Fediuk, Roman and Kotov, Evgenii Vladimirovich and Gunasekaran, Murali (2022) Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel. Materials, 15 (8). pp. 1-17. ISSN 1996-1944 http://dx.doi.org/10.3390/ma15082865 DOI:10.3390/ma15082865 |
| spellingShingle | TA Engineering (General). Civil engineering (General) Kasiman, Erwan Hafizi Kueh, Ahmad Beng Hong Mohd. Yassin, Airil Yasreen Saidina Amin, Norsarahaida Amran, Mugahed Fediuk, Roman Kotov, Evgenii Vladimirovich Gunasekaran, Murali Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title | Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title_full | Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title_fullStr | Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title_full_unstemmed | Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title_short | Mixed finite element formulation for navier–stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| title_sort | mixed finite element formulation for navier stokes equations for magnetic effects on biomagnetic fluid in a rectangular channel |
| topic | TA Engineering (General). Civil engineering (General) |
| url | http://eprints.utm.my/102927/1/ErwanHafiziKasiman2022_MixedFiniteElementFormulationforNavier.pdf |
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