Blood Flow Characteristic of the Magnetohydrodynamic Flow with Cosine-Shaped Stenosis in a Cylindrical System under the Influence of Hall Effect

The main aim of this paper is to investigate a Newtonian model of two-dimensional blood flow coupled with mass transfer in the presence of magnetic field and Hall current effect. The flowing blood is assumed to be Newtonian fluid, and the arterial wall is having cosine-shaped stenosis in its blood vessel with stenosis. The fluid dynamics are governed by the Navier-Stokes equation with the magnetohydrodynamic (MHD) principle and Hall current effect which describe the additional magnetic effects in cylindrical coordinate system. The governing equations of motion accompanied by the appropriate initial and boundary conditions are then solved using a finite difference Marker and Cell (MAC) method. The graphical results of velocity profiles, mass concentration and flow rate are presented in this paper. The effect of MHD with Hall current effect is investigated and it shows that the velocity increases as Hall parameter increases. The influence of magnetic field affects the positive and negative ions in blood which induces a Hall current that will increase the blood flow. It is also observed that the magnitude of the maximum axial velocity decreases as the magnetic field increases because of the Lorentz force acting on the blood flow.

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