4.5 Article

Effect of electrical conductivity and magnetization on the biomagnetic fluid flow over a stretching sheet

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SPRINGER BASEL AG
DOI: 10.1007/s00033-017-0839-z

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Stretching sheet; Biomagnetic fluid; Ferrohydrodynamics; Magnetohydrodynamics; Ferrofluid; Magnetic fluid; Magnetization

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The biomagnetic fluid flow (blood) over a stretching sheet in the presence of magnetic field is studied. For the mathematical formulation of the problem both magnetization and electrical conductivity of blood are taken into account and consequently both principles of magnetohydrodynamics (MHD) and ferrohydrodynamics (FHD) are adopted. The physical problem is described by a coupled, nonlinear system of ordinary differential equations subject to appropriate boundary conditions. This solution is obtained numerically by applying an efficient numerical technique based on finite differences method. The obtained results are presented graphically for different values of the parameters entering into the problem under consideration. Emphasis is given to the study of the effect of the MHD and FHD interaction parameters on the flow field. It is apparent that both parameters effect significantly on various characteristics of the flow and consequently neither electrical conductivity nor magnetization of blood could be neglected.

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