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- Title
Entropy-based analysis of hemodynamics in elliptical arterial flows with non-Newtonian Rabinowitsch fluid.
- Authors
Shahzad, Muhammad Hasnain; Nadeem, Sohail; Ahmad, Hijaz; Hussein, Mohamed; Awan, Aziz Ullah; Alroobaea, Roobaea; Allahyani, Seham Ayesh
- Abstract
This research concerns examining the non-Newtonian blood flow behavior through an artery of elliptic cross-section, affected by several stenoses. The Rabinowitsch fluid model is used to investigate the non-Newtonian behavior of the blood for uniform and nonuniform shapes of stenosis. The mathematical equations have been converted into a dimensionless form, and their nonlinearity is reduced by applying the assumptions of mild stenosis. The resulting differential equations are solved by using analytical techniques. A new polynomial of degree eight is introduced to complete the solutions of mathematical equations. The entropy generation is studied mathematically to analyze the irreversibility effects. The detailed graphical examination delineates the physical aspects of mathematical results. The flow velocity is higher for uniform shape than for nonuniform stenosis. The rising percentage of stenosis significantly enhances the flow velocity of the stenotic region. The entropy is enormous near the stenotic wall and has small values near the centerline, which assures the smooth flow in this region. Further, the streamlines are plotted to find the position of stenosis and assess the flow nature for the growing height of stenosis and rising flow rate.
- Subjects
NON-Newtonian fluids; NON-Newtonian flow (Fluid dynamics); FLOW velocity; HEMODYNAMICS; BLOOD flow; DIFFERENTIAL equations
- Publication
Modern Physics Letters B, 2024, Vol 38, Issue 28, p1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984924502762