An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model
The current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newton...
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| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9921642 |
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| author | Riaz Ahmad Asma Farooqi Rashada Farooqi Nawaf N. Hamadneh Md Fayz-Al-Asad Ilyas Khan Muhammad Sajid Ghulam Bary Muhammad Farooq Saleem Khan |
| author_facet | Riaz Ahmad Asma Farooqi Rashada Farooqi Nawaf N. Hamadneh Md Fayz-Al-Asad Ilyas Khan Muhammad Sajid Ghulam Bary Muhammad Farooq Saleem Khan |
| author_sort | Riaz Ahmad |
| collection | DOAJ |
| description | The current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newtonian nature. Then, the analytical solution has been investigated by using the regular perturbation technique. The solutions obtained by this perturbation are up to the second-order in dimensionless Weissenberg number We. The performed computations of various parameter values such as velocity, wall shear stress, shear stress, and resistance impedance at the stenotic throat are discussed in detail for different values of Weissenberg number We. The obtained results demonstrate that for shear-thinning fluid, the fluid velocity increases with the increasing parameter m while opposite behavior is observed with the increase in We. Hence, the presented numerical analysis reveals many aspects of the flow by considering the blood as a non-Newtonian Carreau fluid model, and the presented model can be equally applicable to other bio-mathematical studies. |
| format | Article |
| id | doaj-art-9fdcfa8621a54c87b1eef9197e87d9f7 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9fdcfa8621a54c87b1eef9197e87d9f72025-02-03T01:24:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99216429921642An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid ModelRiaz Ahmad0Asma Farooqi1Rashada Farooqi2Nawaf N. Hamadneh3Md Fayz-Al-Asad4Ilyas Khan5Muhammad Sajid6Ghulam Bary7Muhammad Farooq Saleem Khan8Faculty of Science, Yibin University, Yibin 644000, Sichuan, ChinaFaculty of Science, Yibin University, Yibin 644000, Sichuan, ChinaWah Medical College POF Hospital, Wah Cantt 47040, PakistanDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi ArabiaDepartment of Mathematics, Bangladesh University of Engineering and Technology, Dhaka 1000, BangladeshDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, Majmaah 11952, Saudi ArabiaFaculty of Materials and Chemical Engineering, Yibin University, Yibin 644000, Sichuan, ChinaFaculty of Science, Yibin University, Yibin 644000, Sichuan, ChinaFaculty of International Applied Technology, Yibin University, Yibin 644000, Sichuan, ChinaThe current study provides an analytical approach to analyze the blood flow through a stenosed artery by using the Carreau fluid model. The flow governing equations are derived under the consideration of mild stenosis. Mathematical analysis has been carried out by considering the blood as non-Newtonian nature. Then, the analytical solution has been investigated by using the regular perturbation technique. The solutions obtained by this perturbation are up to the second-order in dimensionless Weissenberg number We. The performed computations of various parameter values such as velocity, wall shear stress, shear stress, and resistance impedance at the stenotic throat are discussed in detail for different values of Weissenberg number We. The obtained results demonstrate that for shear-thinning fluid, the fluid velocity increases with the increasing parameter m while opposite behavior is observed with the increase in We. Hence, the presented numerical analysis reveals many aspects of the flow by considering the blood as a non-Newtonian Carreau fluid model, and the presented model can be equally applicable to other bio-mathematical studies.http://dx.doi.org/10.1155/2021/9921642 |
| spellingShingle | Riaz Ahmad Asma Farooqi Rashada Farooqi Nawaf N. Hamadneh Md Fayz-Al-Asad Ilyas Khan Muhammad Sajid Ghulam Bary Muhammad Farooq Saleem Khan An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model Complexity |
| title | An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model |
| title_full | An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model |
| title_fullStr | An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model |
| title_full_unstemmed | An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model |
| title_short | An Analytical Approach to Study the Blood Flow over a Nonlinear Tapering Stenosed Artery in Flow of Carreau Fluid Model |
| title_sort | analytical approach to study the blood flow over a nonlinear tapering stenosed artery in flow of carreau fluid model |
| url | http://dx.doi.org/10.1155/2021/9921642 |
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