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Computer Sciences & Mathematics Forum
Volume 7
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10.3390/IOCMA2023-14398
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Proceeding Paper

Finite Difference Simulation on Biomagnetic Fluid Flow and Heat Transfer with Gold Nanoparticles towards a Shrinking Sheet in the Presence of a Magnetic Dipole †

by
Ghulam Murtaza
1,
Lata Bonik
1,
Efstratios Em. Tzirtzilakis
2 and
Mohammad Ferdows
3,*
1
Department of Mathematics, Comilla University, Comilla 3506, Bangladesh
2
Fluid Mechanics and Turbomachinery Laboratory, Department of Mechanical Engineering, University of the Peloponnese, 26334 Patras, Greece
3
Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
*
Author to whom correspondence should be addressed.
†
Presented at the 1st International Online Conference on Mathematics and Applications, 1–15 May 2023; Available online: https://iocma2023.sciforum.net/.
Comput. Sci. Math. Forum 2023, 7(1), 18; https://doi.org/10.3390/IOCMA2023-14398
Published: 28 April 2023
(This article belongs to the Proceedings of The 1st International Online Conference on Mathematics and Applications)
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Abstract

In this paper, we study the laminar, incompressible, and steady flow of a biomagnetic fluid, such as blood, containing gold nanoparticles through a shrinking sheet in the presence of a magnetic dipole. This model is consistent with both the principles of magnetohydrodynamics (MHD) and ferro-hydrodynamics (FHD). An effective numerical method that is based on an iterative process, tridiagonal matrix manipulation, and a common finite difference method with central differencing is used to generate the numerical solution of obtained ordinary differential equations (ODEs). The major numerical results show that the fluid velocity decreases as the ferromagnetic number increases whereas the skin friction coefficient shows the opposite behavior. As the ferromagnetic number increases, the rate of heat transfer with ferromagnetic interaction parameter is likewise observed and shown to be decreasing.
Keywords: biomagnetic fluid; gold nanoparticle; magnetohydrodynamic; ferrohydrodynamic; magnetic dipole; finite difference method biomagnetic fluid; gold nanoparticle; magnetohydrodynamic; ferrohydrodynamic; magnetic dipole; finite difference method

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MDPI and ACS Style

Murtaza, G.; Bonik, L.; Tzirtzilakis, E.E.; Ferdows, M. Finite Difference Simulation on Biomagnetic Fluid Flow and Heat Transfer with Gold Nanoparticles towards a Shrinking Sheet in the Presence of a Magnetic Dipole. Comput. Sci. Math. Forum 2023, 7, 18. https://doi.org/10.3390/IOCMA2023-14398

AMA Style

Murtaza G, Bonik L, Tzirtzilakis EE, Ferdows M. Finite Difference Simulation on Biomagnetic Fluid Flow and Heat Transfer with Gold Nanoparticles towards a Shrinking Sheet in the Presence of a Magnetic Dipole. Computer Sciences & Mathematics Forum. 2023; 7(1):18. https://doi.org/10.3390/IOCMA2023-14398

Chicago/Turabian Style

Murtaza, Ghulam, Lata Bonik, Efstratios Em. Tzirtzilakis, and Mohammad Ferdows. 2023. "Finite Difference Simulation on Biomagnetic Fluid Flow and Heat Transfer with Gold Nanoparticles towards a Shrinking Sheet in the Presence of a Magnetic Dipole" Computer Sciences & Mathematics Forum 7, no. 1: 18. https://doi.org/10.3390/IOCMA2023-14398

APA Style

Murtaza, G., Bonik, L., Tzirtzilakis, E. E., & Ferdows, M. (2023). Finite Difference Simulation on Biomagnetic Fluid Flow and Heat Transfer with Gold Nanoparticles towards a Shrinking Sheet in the Presence of a Magnetic Dipole. Computer Sciences & Mathematics Forum, 7(1), 18. https://doi.org/10.3390/IOCMA2023-14398

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