Mathematical modeling on particulate suspension couple stress fluid flow in a stenosed artery under electro-magnetic effects
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Date
2025
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Department of Mathematics, NITS
Abstract
An analytical study is presented on the fluid dynamics of blood flow in stenosed arteries, with a focus on pulsatile flow, electric and magnetic fields, and the non-Newtonian nature of blood. The narrowing of arteries caused by stenosis induces significant alterations in blood flow, making it essential to explore these changes for improved disease evaluation and therapeutic strategies. A mathematical model is proposed to describe pulsatile, laminar, incompressible, and electrically conductive flow, represented by the Jeffrey fluid model with couple stress effects. This model accounts for the effects of electromagnetic forces and periodic body forces, under the assumptions of low Reynolds number, mild stenosis, and low wall zeta potential. To analyze key parameters, including axial velocity, wall shear stress, and flow resistance, the governing equations are solved using Laplace and Hankel transforms. Graphical representations of the flow characteristics are generated using MATLAB, providing insights into the complex flow dynamics in stenosed arteries. This research aims to contribute to the development of medical devices and enhance treatment methodologies for cardiovascular diseases.