ABSTRACT

This paper presents a mathematical model for fluid (blood) flow through stenosed (taken as a multi-irregular stenosis) artery under an externally applied uniform magnetic field. The blood is assumed as Newtonian and medium is assumed as porous in nature. Viscosity of blood varies depending on hematocrit, which is taken to reform analogousto the real condition. This model is compatible with Magnetohydrodynamics and Ferro-hydrodynamics. The equation describing Newtonian fluid flow under above assumption with suitable boundary conditions are solved by applying Frobenius method. The flow characteristics of fluid like axial velocity profile, shear stress at wall, pressure gradient and fluid flow rate are expressed analytically. Numerical values are computed for flow characteristics using, derived analytical expression and some specific values of distinct parameters and are depicted by graphs. The results computed on the basis of distinct considered parameters in the problem shows that the shape of artery, hematocrit and magnetic field have significant impact on the flow characteristics. Keywords Multi-irregular stenosis, Newtonian blood, MHD, Axial velocity, Magnetic field
Publication date: 01/03/2022

https://ijbpas.com/pdf/2022/March/MS_IJBPAS_2022_5965.pdf

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https://doi.org/10.31032/IJBPAS/2022/11.3.5965