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...
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| Veröffentlicht in: | Materials 2022-04, Vol.15 (8), p.2865 |
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| creator | Kasiman, Erwan Hafizi Kueh, Ahmad Beng Hong Mohd Yassin, Airil Yasreen Amin, Norsarahaida Saidina Amran, Mugahed Fediuk, Roman Kotov, Evgenii Vladimirovich Murali, Gunasekaran |
| 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. |
| doi_str_mv | 10.3390/ma15082865 |
| format | Article |
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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.</description><identifier>ISSN: 1996-1944</identifier><identifier>EISSN: 1996-1944</identifier><identifier>DOI: 10.3390/ma15082865</identifier><identifier>PMID: 35454557</identifier><language>eng</language><publisher>Switzerland: MDPI AG</publisher><subject>Blood ; Computational fluid dynamics ; Ferrohydrodynamics ; Finite volume method ; Flow velocity ; Fluid dynamics ; Fluid flow ; Investigations ; Lorentz force ; Magnetic effects ; Magnetic fields ; Magnetism ; Magnetohydrodynamics ; Navier-Stokes equations ; Reynolds number ; Skin friction ; Viscosity ; Vortices</subject><ispartof>Materials, 2022-04, Vol.15 (8), p.2865</ispartof><rights>2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). 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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.</description><subject>Blood</subject><subject>Computational fluid dynamics</subject><subject>Ferrohydrodynamics</subject><subject>Finite volume method</subject><subject>Flow velocity</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Investigations</subject><subject>Lorentz force</subject><subject>Magnetic effects</subject><subject>Magnetic fields</subject><subject>Magnetism</subject><subject>Magnetohydrodynamics</subject><subject>Navier-Stokes equations</subject><subject>Reynolds number</subject><subject>Skin friction</subject><subject>Viscosity</subject><subject>Vortices</subject><issn>1996-1944</issn><issn>1996-1944</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNpdkctO3TAQhi1EBYiy4QGQpW5QpbR2bMfOplJ7dE5bCYrUy9qaJJODaWKDnaB2xavjw60Ue-GR_29-zYWQQ87eCVGz9yNwxUxpKrVF9nhdVwWvpdx-Fu-Sg5QuWD5CcFPWO2RXKJmv0nvk5tT9wY6unHcT0uWAI_qJrkIc5wEmFzztQ6Tf4NphLH5M4Tcmurya76R0p53C2uPkWrrse2ynRHPOJxfGx-_VMLuOOk-Bfs86-HV2jnRxDt7j8Jq86mFIePDw7pNfq-XPxZfi5Ozz18XHk6KVrJoKKbSsNNMgWcM65Apy1HcMOAhRac6ZMg1nTdtLib02WnLMMzFNJQGVKcU--XDvezk3I3Zt7jLCYC-jGyH-tQGc_V_x7tyuw7WtWZlnpbPB8YNBDFczpsmOLrU4DOAxzMmWlZJlXRtlMvrmBXoR5uhzexsqQ0rrDfX2nmpjSCli_1QMZ3azWvtvtRk-el7-E_q4SHELJCufDQ</recordid><startdate>20220413</startdate><enddate>20220413</enddate><creator>Kasiman, Erwan Hafizi</creator><creator>Kueh, Ahmad Beng Hong</creator><creator>Mohd Yassin, Airil Yasreen</creator><creator>Amin, Norsarahaida Saidina</creator><creator>Amran, Mugahed</creator><creator>Fediuk, Roman</creator><creator>Kotov, Evgenii Vladimirovich</creator><creator>Murali, Gunasekaran</creator><general>MDPI AG</general><general>MDPI</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>JG9</scope><scope>KB.</scope><scope>PDBOC</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>7X8</scope><scope>5PM</scope><orcidid>https://orcid.org/0000-0002-4434-6295</orcidid><orcidid>https://orcid.org/0000-0002-3011-8611</orcidid><orcidid>https://orcid.org/0000-0002-0027-1404</orcidid><orcidid>https://orcid.org/0000-0002-2279-1240</orcidid><orcidid>https://orcid.org/0000-0002-1151-0853</orcidid></search><sort><creationdate>20220413</creationdate><title>Mixed Finite Element Formulation for Navier-Stokes Equations for Magnetic Effects on Biomagnetic Fluid in a Rectangular Channel</title><author>Kasiman, Erwan Hafizi ; Kueh, Ahmad Beng Hong ; Mohd Yassin, Airil Yasreen ; Amin, Norsarahaida Saidina ; Amran, Mugahed ; Fediuk, Roman ; Kotov, Evgenii Vladimirovich ; Murali, Gunasekaran</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c406t-43746707a40b0de15aa40fd0a1a336711058b10bcf44ef78741e2868b64ae5823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Blood</topic><topic>Computational fluid dynamics</topic><topic>Ferrohydrodynamics</topic><topic>Finite volume method</topic><topic>Flow velocity</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Investigations</topic><topic>Lorentz force</topic><topic>Magnetic effects</topic><topic>Magnetic fields</topic><topic>Magnetism</topic><topic>Magnetohydrodynamics</topic><topic>Navier-Stokes equations</topic><topic>Reynolds number</topic><topic>Skin friction</topic><topic>Viscosity</topic><topic>Vortices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kasiman, Erwan Hafizi</creatorcontrib><creatorcontrib>Kueh, Ahmad Beng Hong</creatorcontrib><creatorcontrib>Mohd Yassin, Airil Yasreen</creatorcontrib><creatorcontrib>Amin, Norsarahaida Saidina</creatorcontrib><creatorcontrib>Amran, Mugahed</creatorcontrib><creatorcontrib>Fediuk, Roman</creatorcontrib><creatorcontrib>Kotov, Evgenii Vladimirovich</creatorcontrib><creatorcontrib>Murali, Gunasekaran</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Materials Science Collection</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>Materials Research Database</collection><collection>Materials Science Database</collection><collection>Materials Science Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Materials</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kasiman, Erwan Hafizi</au><au>Kueh, Ahmad Beng Hong</au><au>Mohd Yassin, Airil Yasreen</au><au>Amin, Norsarahaida Saidina</au><au>Amran, Mugahed</au><au>Fediuk, Roman</au><au>Kotov, Evgenii Vladimirovich</au><au>Murali, Gunasekaran</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mixed Finite Element Formulation for Navier-Stokes Equations for Magnetic Effects on Biomagnetic Fluid in a Rectangular Channel</atitle><jtitle>Materials</jtitle><addtitle>Materials (Basel)</addtitle><date>2022-04-13</date><risdate>2022</risdate><volume>15</volume><issue>8</issue><spage>2865</spage><pages>2865-</pages><issn>1996-1944</issn><eissn>1996-1944</eissn><abstract>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. 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| subjects | Blood Computational fluid dynamics Ferrohydrodynamics Finite volume method Flow velocity Fluid dynamics Fluid flow Investigations Lorentz force Magnetic effects Magnetic fields Magnetism Magnetohydrodynamics Navier-Stokes equations Reynolds number Skin friction Viscosity Vortices |
| title | Mixed Finite Element Formulation for Navier-Stokes Equations for Magnetic Effects on Biomagnetic Fluid in a Rectangular Channel |
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