Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow
Blood flow analysis plays an essential role in understanding cardiovascular health and disease. An accurate mathematical modeling is necessary in context of representation of arterial domains and blood flow to learn about the intricate blood dynamics. In this paper we concentrate on the mathematical...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-04-01
|
| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447923004835 |
| _version_ | 1797243046055641088 |
|---|---|
| author | Shahbaz Ali I.M.R. Najjar A.M. Sadoun A. Fathy |
| author_facet | Shahbaz Ali I.M.R. Najjar A.M. Sadoun A. Fathy |
| author_sort | Shahbaz Ali |
| collection | DOAJ |
| description | Blood flow analysis plays an essential role in understanding cardiovascular health and disease. An accurate mathematical modeling is necessary in context of representation of arterial domains and blood flow to learn about the intricate blood dynamics. In this paper we concentrate on the mathematical representation of the geometry of the blood artery and find numerical solutions with mild to severe degree of stenosis. Blood dynamics has steady state, in-compressible and laminar nature. The shear thinning non-viscous effects of blood are assumed to obey Carreau model. Fluid flow is based on coupled Navier-Stokes equation in three dimensions and is simulated with finite volume approach over hexahedral elements. Application of a constant mass flow rate at the inlet of the artery results in a number of observations to analyze. It is found that with increasing the severity of stenosis, blood velocity becomes higher in stenotic region, pressure drop along the arterial domain is increased and shear stresses exerted by blood on walls of artery are increased. |
| first_indexed | 2024-04-24T18:48:53Z |
| format | Article |
| id | doaj.art-bbdb3666f68240678e8e17cbbbf5e0d7 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-24T18:48:53Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-bbdb3666f68240678e8e17cbbbf5e0d72024-03-27T04:51:48ZengElsevierAin Shams Engineering Journal2090-44792024-04-01154102594Navigating cardiovascular dynamics through mathematical modeling of arterial blood flowShahbaz Ali0I.M.R. Najjar1A.M. Sadoun2A. Fathy3Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Department of Mechanical Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaDepartment of Mechanical Design and Production Engineering, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt; Mechanical Department, Higher Technological Institute, Tenth of Ramadan City, EgyptBlood flow analysis plays an essential role in understanding cardiovascular health and disease. An accurate mathematical modeling is necessary in context of representation of arterial domains and blood flow to learn about the intricate blood dynamics. In this paper we concentrate on the mathematical representation of the geometry of the blood artery and find numerical solutions with mild to severe degree of stenosis. Blood dynamics has steady state, in-compressible and laminar nature. The shear thinning non-viscous effects of blood are assumed to obey Carreau model. Fluid flow is based on coupled Navier-Stokes equation in three dimensions and is simulated with finite volume approach over hexahedral elements. Application of a constant mass flow rate at the inlet of the artery results in a number of observations to analyze. It is found that with increasing the severity of stenosis, blood velocity becomes higher in stenotic region, pressure drop along the arterial domain is increased and shear stresses exerted by blood on walls of artery are increased.http://www.sciencedirect.com/science/article/pii/S2090447923004835Cardiovascular dynamicsMathematical modelingCarreau fluidArterial stenosisBlood flowFinite volume method |
| spellingShingle | Shahbaz Ali I.M.R. Najjar A.M. Sadoun A. Fathy Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow Ain Shams Engineering Journal Cardiovascular dynamics Mathematical modeling Carreau fluid Arterial stenosis Blood flow Finite volume method |
| title | Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| title_full | Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| title_fullStr | Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| title_full_unstemmed | Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| title_short | Navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| title_sort | navigating cardiovascular dynamics through mathematical modeling of arterial blood flow |
| topic | Cardiovascular dynamics Mathematical modeling Carreau fluid Arterial stenosis Blood flow Finite volume method |
| url | http://www.sciencedirect.com/science/article/pii/S2090447923004835 |
| work_keys_str_mv | AT shahbazali navigatingcardiovasculardynamicsthroughmathematicalmodelingofarterialbloodflow AT imrnajjar navigatingcardiovasculardynamicsthroughmathematicalmodelingofarterialbloodflow AT amsadoun navigatingcardiovasculardynamicsthroughmathematicalmodelingofarterialbloodflow AT afathy navigatingcardiovasculardynamicsthroughmathematicalmodelingofarterialbloodflow |