TY - JOUR
T1 - Mixed Finite Element Formulation for Navier-Stokes Equations for Magnetic Effects on Biomagnetic Fluid in a Rectangular Channel
AU - Kasiman, Erwan Hafizi
AU - Kueh, Ahmad Beng Hong
AU - Mohd Yassin, Airil Yasreen
AU - Amin, Norsarahaida Saidina
AU - Amran, Mugahed
AU - Fediuk, Roman
AU - Kotov, Evgenii Vladimirovich
AU - Murali, Gunasekaran
N1 - Funding Information:
Acknowledgments: The authors gratefully appreciate the support given by the Faculty of Engineering, Universiti Malaysia Sarawak, Malaysia. The authors also gratefully acknowledge the financial support given by the Deanship of Scientific Research at Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia, and the collaboration of the Department of Civil Engineering, Faculty of Engineering, Universiti Malaysia Sarawak and IT, Amran University, for this research.
Funding Information:
Funding: The research is partially funded by the Ministry of Science and Higher Education of the Russian Federation as part of the World-class Research Center program: Advanced Digital Technologies (contract No. 075-15-2020-934, dated 17 November 2020).
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/4/13
Y1 - 2022/4/13
N2 - 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.
AB - 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.
KW - Navier–Stokes
KW - biomagnetic fluid dynamic
KW - computational simulation
KW - finite element
KW - mixed formulation
UR - http://www.scopus.com/inward/record.url?scp=85129055870&partnerID=8YFLogxK
U2 - 10.3390/ma15082865
DO - 10.3390/ma15082865
M3 - Article
C2 - 35454557
SN - 1996-1944
VL - 15
JO - Materials
JF - Materials
IS - 8
M1 - 2865
ER -