Sharif University of Technology Scientia Iranica 1026-3098 30 5 2023 10 01 Mathematical modeling of Williamson's model for blood flow inside permeable multiple stenosed arteries with electro-osmosis 1572 1586 23193 10.24200/sci.2023.59837.6457 EN S. Nadeem Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan 0000-0002-1052-011X J. Abbas Haider Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan S. Akhtar Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan Journal Article 2022 01 25 An artery afflicted with multiple stenosis is the focus of this study, which emphasises the electro-osmotic effects. The artery's walls are porous and slip boundary effects are present. Blood flow problems are better modelled with a slip and porous border. It is examined extensively due to the wide range of applications in the medical field, especially in the diagnosis of drug delivery and handling of cellular irregularities. In this paper, we have visualised the non-Newtonian behaviour of blood by using viscoelastic fluids as a Williamson fluid model. A mathematical model for an incompressible fluid is being created, and the mathematical issue is then transformed into its dimensionless form by applying limitations in the case of mild multiple stenosis. As soon as the problem is put into a dimensionless form, the partial differential equations for the velocity profile and temperature profile can be found. Analytical solutions of the resulting system are calculated with the help of the Homotopy perturbation method (HPM). The visual representation of analytically obtained solutions is investigated for both symmetric and non-symmetric geometries of stenosis. For varied values of flow rate Q and electro-osmotic parameter m, the streamlines are examined in detail. https://scientiairanica.sharif.edu/article_23193_6df8abe393f0489e9cb413e2f16d0c1e.pdf