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Complex fluid dynamical computations via the Finite Volume Method
Numerical simulations of the complex flows of viscoelastic fluids are investigated. The viscoelastic fluids are modelled, primarily, via the Johnson-Segalman constitutive model. Our Numerical approach is based on finite volume method, based on the Johnson-Segalman constitutive model and implemented...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2019
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| _version_ | 1867613187734503424 |
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| access_status_str | Open Access |
| author | Rahantamialisoa, Faniry Nadia Zazaravaka |
| author2 | Chinyoka, Tiri |
| author_browse | Chinyoka, Tiri Rahantamialisoa, Faniry Nadia Zazaravaka |
| author_facet | Chinyoka, Tiri Rahantamialisoa, Faniry Nadia Zazaravaka |
| author_sort | Rahantamialisoa, Faniry Nadia Zazaravaka |
| collection | Thesis |
| description | Numerical simulations of the complex flows of viscoelastic fluids are investigated. The viscoelastic fluids are modelled, primarily, via the Johnson-Segalman constitutive model. Our Numerical approach is based on finite volume method, based on the Johnson-Segalman constitutive model and implemented on the OpenFOAM® platform. The Johnson-Segalman model also easily reduces to the Oldroyd-B model under certain conditions of the material parameters. Since computations using the Oldroyd-B model have been extensively documented in the literature, we take advantage of the mathematical modelling connection between the Johnson-Segalman and Oldroyd-B models to validate the accuracy of our Johnson-Segalman solver via reduction to the Oldroyd-B model. Numerical validation of our results is conducted via the most commonly used benchmark problems. The final aim of our work is to assess the viability and efficiency of our numerical solver via an investigation into the complex fluid dynamical processes associated with shear banding. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/29860 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:09.918Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/29860 Complex fluid dynamical computations via the Finite Volume Method Rahantamialisoa, Faniry Nadia Zazaravaka Chinyoka, Tiri Computational and Applied Mechanics Mathematics and Applied Mathematics Numerical simulations of the complex flows of viscoelastic fluids are investigated. The viscoelastic fluids are modelled, primarily, via the Johnson-Segalman constitutive model. Our Numerical approach is based on finite volume method, based on the Johnson-Segalman constitutive model and implemented on the OpenFOAM® platform. The Johnson-Segalman model also easily reduces to the Oldroyd-B model under certain conditions of the material parameters. Since computations using the Oldroyd-B model have been extensively documented in the literature, we take advantage of the mathematical modelling connection between the Johnson-Segalman and Oldroyd-B models to validate the accuracy of our Johnson-Segalman solver via reduction to the Oldroyd-B model. Numerical validation of our results is conducted via the most commonly used benchmark problems. The final aim of our work is to assess the viability and efficiency of our numerical solver via an investigation into the complex fluid dynamical processes associated with shear banding. 2019-03-01T08:41:12Z 2019-03-01T08:41:12Z 2018 2019-02-25T10:48:45Z Master Thesis Masters MSc http://hdl.handle.net/11427/29860 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Computational and Applied Mechanics Mathematics and Applied Mathematics Rahantamialisoa, Faniry Nadia Zazaravaka Complex fluid dynamical computations via the Finite Volume Method |
| thesis_degree_str | Master's |
| title | Complex fluid dynamical computations via the Finite Volume Method |
| title_full | Complex fluid dynamical computations via the Finite Volume Method |
| title_fullStr | Complex fluid dynamical computations via the Finite Volume Method |
| title_full_unstemmed | Complex fluid dynamical computations via the Finite Volume Method |
| title_short | Complex fluid dynamical computations via the Finite Volume Method |
| title_sort | complex fluid dynamical computations via the finite volume method |
| topic | Computational and Applied Mechanics Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/29860 |
| work_keys_str_mv | AT rahantamialisoafanirynadiazazaravaka complexfluiddynamicalcomputationsviathefinitevolumemethod |