Key result
Models show increased transmural pressure raises stenosis LDL deposition while magnetic fields alter pressure gradients.
A two-dimensional mathematical model of blood flow through a stenosed artery provides analytical expressions for velocity and shear stress, suggesting hypertensive patients are more prone to circulatory problems.
May heighten caution for hypertension in stenosed arteries; leaves open clinical validation of model predictions.
The present study is two-dimensional analysis of blood flow with variable viscosity through stenotic artery in the presence of transverse magnetic field in the porous medium. Blood flowing radially to walls of artery and axially through lumen has been determined through the solution of Navier Stoke’s equations and Darcy law. If deposition of low density lipoprotein (LDL) is taken into case, the coupled approach offers an understanding of practical problem of blood flow through stenosed artery. The analytical expressions for radial velocity, axial velocity, shear stress and pressure gradient are obtained in the presence of magnetic field using Frobenius method. The numerical results for radial velocity, axial velocity, pressure gradient and shear stress are expressed graphically. The results then obtained are discussed to provide physical interpretation. The investigation shows that hypertensive patients are more adequate to have heart circulatory problems.
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Singh et al. (2010) studied Atherosclerosis. Transverse magnetic field was evaluated on Blood flow dynamics (radial velocity, axial velocity, pressure gradient, shear stress). The mathematical model demonstrates that increased transmural pressure raises radial velocity and LDL deposition at the stenosis peak, while a transverse magnetic field alters pressure gradients.
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