Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel
A theoretical analysis of electro-osmosis peristaltic flow of generalized Newtonian fluid bounded in a complex wavy divergent channel is performed. There are many complex rheological generalized Newtonian fluids, out of which Ellis fluid model is considered to approximate the fluid present within th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821006839 |
| _version_ | 1817977100032802816 |
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| author | Zeeshan Asghar Muhammad Waqas Muhammad Asif Gondal Waqar Azeem Khan |
| author_facet | Zeeshan Asghar Muhammad Waqas Muhammad Asif Gondal Waqar Azeem Khan |
| author_sort | Zeeshan Asghar |
| collection | DOAJ |
| description | A theoretical analysis of electro-osmosis peristaltic flow of generalized Newtonian fluid bounded in a complex wavy divergent channel is performed. There are many complex rheological generalized Newtonian fluids, out of which Ellis fluid model is considered to approximate the fluid present within the channel. The flow equations are modelled using balances of mass and momentum while the body force term is introduced using well known Poisson equation. An analytical solution to the governing flow equations is presented and the closed form expressions for longitudinal velocity, flow rate and stream function are developed. The numerical solution of pressure rise is obtained via NIntegrate build in command of Mathematica 12.3. Influence of diverse rheological and electrical parameters on flow characteristics are analysed via plots. |
| first_indexed | 2024-04-13T22:11:52Z |
| format | Article |
| id | doaj.art-646b6c9646ff41d9a874ddbbee8c7e34 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-13T22:11:52Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-646b6c9646ff41d9a874ddbbee8c7e342022-12-22T02:27:41ZengElsevierAlexandria Engineering Journal1110-01682022-06-0161645194528Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channelZeeshan Asghar0Muhammad Waqas1Muhammad Asif Gondal2Waqar Azeem Khan3NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, PakistanNUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, PakistanDepartment of Mathematics and Sciences Dhofar University, OmanSchool of Mathematics and Statistics Beijing Institute of Technology, Beijing, China; Corresponding author.A theoretical analysis of electro-osmosis peristaltic flow of generalized Newtonian fluid bounded in a complex wavy divergent channel is performed. There are many complex rheological generalized Newtonian fluids, out of which Ellis fluid model is considered to approximate the fluid present within the channel. The flow equations are modelled using balances of mass and momentum while the body force term is introduced using well known Poisson equation. An analytical solution to the governing flow equations is presented and the closed form expressions for longitudinal velocity, flow rate and stream function are developed. The numerical solution of pressure rise is obtained via NIntegrate build in command of Mathematica 12.3. Influence of diverse rheological and electrical parameters on flow characteristics are analysed via plots.http://www.sciencedirect.com/science/article/pii/S1110016821006839Electro-osmotic flowPoisson equationEllis fluidClosed form solutionMathematica 12.3 |
| spellingShingle | Zeeshan Asghar Muhammad Waqas Muhammad Asif Gondal Waqar Azeem Khan Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel Alexandria Engineering Journal Electro-osmotic flow Poisson equation Ellis fluid Closed form solution Mathematica 12.3 |
| title | Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel |
| title_full | Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel |
| title_fullStr | Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel |
| title_full_unstemmed | Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel |
| title_short | Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel |
| title_sort | electro osmotically driven generalized newtonian blood flow in a divergent micro channel |
| topic | Electro-osmotic flow Poisson equation Ellis fluid Closed form solution Mathematica 12.3 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821006839 |
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