Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 41, Issue 10, Pages 3885-3899Publisher
WILEY
DOI: 10.1002/mma.4874
Keywords
finite difference technique; flow separation; pulsatile flow; stenosis; stream function-vorticity method; wall shear stress
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Funding
- CSIR, India
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The aim of this paper is to throw some light on the rheological study of pulsatile blood flow in a stenosed tapered arterial segment. Arterial wall is considered to be rigid and flexible separately for improving the similarity to the in vivo situation. The streaming blood is considered to be Newtonian. The governing nonlinear equations of motion are sought using the well-known stream function-vorticity method and are solved numerically by finite difference technique. Important rheological parameters, such as axial velocity component, wall shear stress, and flow separation region are estimated in the neighborhood of the stenosis. Effects of stenosis height, vessel tapering, and wall flexibility on the blood flow are investigated properly and are explained in detail through their graphical representations.
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