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

Symmetry

Mohammad Ferdows¹  EfstratiosEmmanouil Tzirtzilakis²  Md.Ghulam Murtaza³ 

[1] Turbomachinery Laboratory, Department of Mechanical Engineering, University of the Peloponnese, 22131 Tripolis, Greece;;Fluid Mechanics &Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, 1000 Dhaka, Bangladesh;

关键词: biomagnetic fluid dynamics (bfd);    stretching sheet;    finite difference method;    stability and convergence analysis;   

DOI  :  10.3390/sym12020253

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown