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Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers
In this study, the computational analysis of a pressure driven viscoelastic fluid in a double pipe heat exchanger set-up is investigated. Non-Newtonian viscoelastic fluids in heat exchanger arrangements are encountered in various industrial applications such as power generation, refrigeration and in...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2019
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| _version_ | 1867613303331618816 |
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| access_status_str | Open Access |
| author | Mavi, Anele |
| author2 | Chinyoka, Tirivanhu |
| author_browse | Chinyoka, Tirivanhu Mavi, Anele |
| author_facet | Chinyoka, Tirivanhu Mavi, Anele |
| author_sort | Mavi, Anele |
| collection | Thesis |
| description | In this study, the computational analysis of a pressure driven viscoelastic fluid in a double pipe heat exchanger set-up is investigated. Non-Newtonian viscoelastic fluids in heat exchanger arrangements are encountered in various industrial applications such as power generation, refrigeration and in the food processing industry where the need for cooling and heating of liquids is required. The model problem is governed by complex, non-linear and coupled partial differential equations. These are solved using the semi-implicit finite difference method integrated with the Crank-Nicolson scheme. The pressure-velocity coupling in the momentum equations is resolved by employing the Semi-Implicit Method for Pressure Linked Equations (SIMPLE). To cope with numerical diffusion and numerical stability issues the treatment of convective terms using the upwind schemes is explored. In this work, the behaviour of viscoelastic fluids is rigorously examined by analysing the convective heat transfer from the viscoelastic core fluid of the double pipe heat exchanger to the Newtonian or viscoelastic shell fluid in the outer annulus. In addition, the effects of pressure, momentum, extra stresses, temperature, viscosity and relaxation time on the fluid temperature are investigated; both in the counter flow and parallel flow configurations. Graphical computational results are presented and discussed quantitatively and qualitatively with respect to several parameters involved in the problem. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/30078 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:59.204Z |
| 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:11427/30078 Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers Mavi, Anele Chinyoka, Tirivanhu In this study, the computational analysis of a pressure driven viscoelastic fluid in a double pipe heat exchanger set-up is investigated. Non-Newtonian viscoelastic fluids in heat exchanger arrangements are encountered in various industrial applications such as power generation, refrigeration and in the food processing industry where the need for cooling and heating of liquids is required. The model problem is governed by complex, non-linear and coupled partial differential equations. These are solved using the semi-implicit finite difference method integrated with the Crank-Nicolson scheme. The pressure-velocity coupling in the momentum equations is resolved by employing the Semi-Implicit Method for Pressure Linked Equations (SIMPLE). To cope with numerical diffusion and numerical stability issues the treatment of convective terms using the upwind schemes is explored. In this work, the behaviour of viscoelastic fluids is rigorously examined by analysing the convective heat transfer from the viscoelastic core fluid of the double pipe heat exchanger to the Newtonian or viscoelastic shell fluid in the outer annulus. In addition, the effects of pressure, momentum, extra stresses, temperature, viscosity and relaxation time on the fluid temperature are investigated; both in the counter flow and parallel flow configurations. Graphical computational results are presented and discussed quantitatively and qualitatively with respect to several parameters involved in the problem. 2019-05-15T07:16:36Z 2019-05-15T07:16:36Z 2019 2019-05-14T11:35:22Z Master Thesis Masters MSc http://hdl.handle.net/11427/30078 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Mavi, Anele Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| thesis_degree_str | Master's |
| title | Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| title_full | Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| title_fullStr | Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| title_full_unstemmed | Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| title_short | Computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| title_sort | computational analysis of viscoelastic fluid dynamics with applications to heat exchangers |
| url | http://hdl.handle.net/11427/30078 |
| work_keys_str_mv | AT mavianele computationalanalysisofviscoelasticfluiddynamicswithapplicationstoheatexchangers |