Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery.
The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The flu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2016-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4993475?pdf=render |
| _version_ | 1828370255570796544 |
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| author | Akbar Zaman Nasir Ali M Sajid Tasawar Hayat |
| author_facet | Akbar Zaman Nasir Ali M Sajid Tasawar Hayat |
| author_sort | Akbar Zaman |
| collection | DOAJ |
| description | The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is modeled as a rigid tube of very small radius. The resulting differential system for velocity in each region is computed numerically by finite-difference scheme and analytically by Laplace transform. A comparison of numerical solution with Laplace transform solution is carried out. Various physical quantities of interest through the computed velocity are also analyzed. |
| first_indexed | 2024-04-14T06:35:31Z |
| format | Article |
| id | doaj.art-8232dceef8a049a5ac089abc135db9ae |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-04-14T06:35:31Z |
| publishDate | 2016-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-8232dceef8a049a5ac089abc135db9ae2022-12-22T02:07:28ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-01118e016137710.1371/journal.pone.0161377Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery.Akbar ZamanNasir AliM SajidTasawar HayatThe pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is modeled as a rigid tube of very small radius. The resulting differential system for velocity in each region is computed numerically by finite-difference scheme and analytically by Laplace transform. A comparison of numerical solution with Laplace transform solution is carried out. Various physical quantities of interest through the computed velocity are also analyzed.http://europepmc.org/articles/PMC4993475?pdf=render |
| spellingShingle | Akbar Zaman Nasir Ali M Sajid Tasawar Hayat Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. PLoS ONE |
| title | Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. |
| title_full | Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. |
| title_fullStr | Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. |
| title_full_unstemmed | Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. |
| title_short | Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery. |
| title_sort | numerical and analytical study of two layered unsteady blood flow through catheterized artery |
| url | http://europepmc.org/articles/PMC4993475?pdf=render |
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