Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel
This article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region. The fluid flow in a porous medium was described with a suitable model using the Brinkman-ex...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-10-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0247 |
| _version_ | 1811324210189959168 |
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| author | Rushi Kesava A. Srinivas A. N. S. |
| author_facet | Rushi Kesava A. Srinivas A. N. S. |
| author_sort | Rushi Kesava A. |
| collection | DOAJ |
| description | This article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region. The fluid flow in a porous medium was described with a suitable model using the Brinkman-extended Darcy equation. In the interface between fluid and porous medium, a shear stress jump boundary condition was applied. Closed-form solutions were obtained in both regions (core and peripheral). The physical quantities of peristaltic flow, such as axial velocity, pumping and change in the interface, were derived and explained. The fluid flow was analyzed by different physical parameters such as viscosity, permeability, porosity, Casson parameter and Darcy number. It is observed that the peristalsis mechanism has greater pressure in a two-layered model containing a non-Newtonian fluid in contact with a porous medium compared to a viscous fluid in the peripheral layer. It was observed that pumping decreased with the increase in Darcy number and an increase in shear stress jump constant resulted in increasing the pumping. The outcomes of the pumping phenomenon may be helpful for understanding the fluid flow aspects of blood flow in capillaries. |
| first_indexed | 2024-04-13T14:10:15Z |
| format | Article |
| id | doaj.art-ccf70820cbda49bdaf8e7e717056adf1 |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-13T14:10:15Z |
| publishDate | 2022-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-ccf70820cbda49bdaf8e7e717056adf12022-12-22T02:43:49ZengDe GruyterNonlinear Engineering2192-80292022-10-0111155856710.1515/nleng-2022-0247Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channelRushi Kesava A.0Srinivas A. N. S.1Department of Mathematics, School of Advanced Sciences, VIT, Vellore, 632014, Tamilnadu, IndiaDepartment of Mathematics, School of Advanced Sciences, VIT, Vellore, 632014, Tamilnadu, IndiaThis article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region. The fluid flow in a porous medium was described with a suitable model using the Brinkman-extended Darcy equation. In the interface between fluid and porous medium, a shear stress jump boundary condition was applied. Closed-form solutions were obtained in both regions (core and peripheral). The physical quantities of peristaltic flow, such as axial velocity, pumping and change in the interface, were derived and explained. The fluid flow was analyzed by different physical parameters such as viscosity, permeability, porosity, Casson parameter and Darcy number. It is observed that the peristalsis mechanism has greater pressure in a two-layered model containing a non-Newtonian fluid in contact with a porous medium compared to a viscous fluid in the peripheral layer. It was observed that pumping decreased with the increase in Darcy number and an increase in shear stress jump constant resulted in increasing the pumping. The outcomes of the pumping phenomenon may be helpful for understanding the fluid flow aspects of blood flow in capillaries.https://doi.org/10.1515/nleng-2022-0247casson fluidperistaltic transportporous mediuminterface |
| spellingShingle | Rushi Kesava A. Srinivas A. N. S. Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel Nonlinear Engineering casson fluid peristaltic transport porous medium interface |
| title | Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel |
| title_full | Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel |
| title_fullStr | Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel |
| title_full_unstemmed | Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel |
| title_short | Exploration of peristaltic pumping of Casson fluid flow through a porous peripheral layer in a channel |
| title_sort | exploration of peristaltic pumping of casson fluid flow through a porous peripheral layer in a channel |
| topic | casson fluid peristaltic transport porous medium interface |
| url | https://doi.org/10.1515/nleng-2022-0247 |
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