Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel
Abstract The purpose of this paper is to present a rigorous analysis of streamline patterns and their bifurcation to a viscoplastic Bingham fluid model that involves heat and mass transfer in an electroosmotic flow through a complex wavy microchannel. The Bingham fluid act as a solid medium in the c...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-05-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-35410-2 |
| _version_ | 1797811514152845312 |
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| author | H. A. Hosham Esraa N. Thabet A. M. Abd-Alla S. M. M. El-Kabeir |
| author_facet | H. A. Hosham Esraa N. Thabet A. M. Abd-Alla S. M. M. El-Kabeir |
| author_sort | H. A. Hosham |
| collection | DOAJ |
| description | Abstract The purpose of this paper is to present a rigorous analysis of streamline patterns and their bifurcation to a viscoplastic Bingham fluid model that involves heat and mass transfer in an electroosmotic flow through a complex wavy microchannel. The Bingham fluid act as a solid medium in the core layer, which divides the channel into three distinct sections utilized to model the problem as a switched dynamical system between these zones. To track multiple steady states (stagnation points) and related trapping phenomena, we perform both analytical and numerical bifurcation analysis of each subsystem with respect to different physical effects such as electrical double layer thickness and Helmholtz-Smoluchowski velocity. The key feature of the technique presented here is its ability to reveal the peristaltic transport characteristics of the Bingham fluid model in the presence or absence of symmetric flow properties. The primary novelty here is the ability to regulate the location and stability of the equilibrium points in the domain of interest. This leads to the detection of global bifurcations that reflect important dynamic elements of the model. Our results highlighted a new category of complex behavior that controls transitions between qualitatively different transport mechanisms, as well as a class of non-classical trapping phenomena. |
| first_indexed | 2024-03-13T07:24:49Z |
| format | Article |
| id | doaj.art-e8b9d288cf6e4669b271ab57467ce787 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-13T07:24:49Z |
| publishDate | 2023-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-e8b9d288cf6e4669b271ab57467ce7872023-06-04T11:29:18ZengNature PortfolioScientific Reports2045-23222023-05-0113111610.1038/s41598-023-35410-2Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannelH. A. Hosham0Esraa N. Thabet1A. M. Abd-Alla2S. M. M. El-Kabeir3Department of Mathematics, Faculty of Science, Al-Azhar UniversityDepartment of Mathematics, Faculty of Science, Aswan UniversityDepartment of Mathematics, Faculty of Science, Sohag UniversityDepartment of Mathematics, Faculty of Science, Aswan UniversityAbstract The purpose of this paper is to present a rigorous analysis of streamline patterns and their bifurcation to a viscoplastic Bingham fluid model that involves heat and mass transfer in an electroosmotic flow through a complex wavy microchannel. The Bingham fluid act as a solid medium in the core layer, which divides the channel into three distinct sections utilized to model the problem as a switched dynamical system between these zones. To track multiple steady states (stagnation points) and related trapping phenomena, we perform both analytical and numerical bifurcation analysis of each subsystem with respect to different physical effects such as electrical double layer thickness and Helmholtz-Smoluchowski velocity. The key feature of the technique presented here is its ability to reveal the peristaltic transport characteristics of the Bingham fluid model in the presence or absence of symmetric flow properties. The primary novelty here is the ability to regulate the location and stability of the equilibrium points in the domain of interest. This leads to the detection of global bifurcations that reflect important dynamic elements of the model. Our results highlighted a new category of complex behavior that controls transitions between qualitatively different transport mechanisms, as well as a class of non-classical trapping phenomena.https://doi.org/10.1038/s41598-023-35410-2 |
| spellingShingle | H. A. Hosham Esraa N. Thabet A. M. Abd-Alla S. M. M. El-Kabeir Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel Scientific Reports |
| title | Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel |
| title_full | Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel |
| title_fullStr | Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel |
| title_full_unstemmed | Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel |
| title_short | Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel |
| title_sort | dynamic patterns of electroosmosis peristaltic flow of a bingham fluid model in a complex wavy microchannel |
| url | https://doi.org/10.1038/s41598-023-35410-2 |
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