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Open AccessArticle

Stability and Convergence Analysis of a Biomagnetic Fluid Flow Over a Stretching Sheet in the Presence of a Magnetic Field

1
Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, 1000 Dhaka, Bangladesh
2
Fluid Mechanics & Turbomachinery Laboratory, Department of Mechanical Engineering, University of the Peloponnese, 22131 Tripolis, Greece
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 253; https://doi.org/10.3390/sym12020253
Received: 18 December 2019 / Revised: 19 January 2020 / Accepted: 20 January 2020 / Published: 6 February 2020
(This article belongs to the Special Issue Fluid Mechanics Physical Problems and Symmetry)
This investigated the time-dependent, two-dimensional biomagnetic fluid (blood) flow (BFD) over a stretching sheet under the action of a strong magnetic field. Blood is considered a homogeneous and Newtonian fluid, which behaves as an electrically conducting magnetic fluid that also exhibits magnetization. Thus, a full BFD formulation was considered by combining both the principles of magnetization and the Lorentz force, which arise in magnetohydrodynamics and ferrohydrodynamics. The non-linear governing equations were transformed by using the usual non-dimensional variables. The resulting system of partial differential equations was discretized by applying a basic explicit finite differences scheme. Moreover, the stability and convergence analysis were performed to obtain restrictions that were especially for the magnetic parameters, which are of crucial importance for this problem. The acquired results are shown graphically and were examined for several values of the dimensionless parameters. The flow and temperature distributions were increased as the values of the magnetic parameters were increased. With the progression in time, the flow profile and temperature distribution were also increased. It is hoped that the results of this problem will be used for high targeting efficiency toward determining the maximum values of magnetic field for which accurate flow predictions could be made using a very simple numerical scheme. View Full-Text
Keywords: biomagnetic fluid dynamics (BFD); stretching sheet; finite difference method; stability and convergence analysis biomagnetic fluid dynamics (BFD); stretching sheet; finite difference method; stability and convergence analysis
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Murtaza, M.G.; Tzirtzilakis, E.E.; Ferdows, M. Stability and Convergence Analysis of a Biomagnetic Fluid Flow Over a Stretching Sheet in the Presence of a Magnetic Field. Symmetry 2020, 12, 253.

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