Communications in Advanced Mathematical Sciences (Jul 2025)
Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field
Abstract
This investigation analyzes the physical properties of blood flow via a catheter in a damaged, curved artery while taking mass and heat transfer in a magnetic field. In order to get analytical answers for axial velocity, temperature, and concentration, this study models and solves the set of equations for the incompressible, non-Newtonian Jeffrey fluid under the mild stenosis approximation. The findings show that while there is less barrier to blood flow and concentration, an increase in the parameter of curvature raises shear stress of the artery wall, blood velocity, and temperature. The effect on key factors such as axial velocity, flow rate, resistance impedance, and wall shear stress of arterial geometrical variables such as stenosis, slip parameter, Hartmann number, and catheter parameter is thoroughly and quantitatively analyzed. Moreover, in trapping phenomena, the artery's curvature throws off the symmetry of the trapped bolus.
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