Numerical modelling of the Oldroyd-B fluid
| dc.contributor.advisor | Reddy, Batmanathan D. | |
| dc.contributor.author | Vundla, Nkosilathi | |
| dc.date.accessioned | 2020-02-11T10:07:27Z | |
| dc.date.available | 2020-02-11T10:07:27Z | |
| dc.date.issued | 2019 | |
| dc.date.updated | 2020-01-28T11:38:08Z | |
| dc.description.abstract | The purpose of this thesis is to develop a 3D finite element model of the Oldroyd-B fluid for use in a complex geometry. The model is developed in deal.ii, which is a C++ finite element library. In addition to the standard finite element approach for the momentum equation, the discontinuous Galerkin method is used for the constitutive relation of the fluid model, with the extra stress as the unknown variable. The model developed is verified by using the symmetric “flow over a cylinder” benchmark problem. The effect of using piecewise-constant discontinuous and bilinear discontinuous elements for the extra stress field is investigated. The the results of the scheme are compared to those found in literature. The model is implemented in the solution of a complex problem of blood flow in an arteriovenous fistula, using geometry acquired from MRI data. A resistance boundary condition is used for the outlets. The flow profiles obtained from using both the Newtonian and Oldroyd-B fluids are validated against velocity encoded MRI and also compared to Fluid-Structure Interaction results for Newtonian fluids, from the literature. The effect of using a viscoelastic fluid on the flow profile and wall shear stresses are investigated. The results from this work show that using a viscoelastic fluid, rather than a Newtonian fluid, provides additional details regarding the wall shear stress in the arteriovenous fistula. | |
| dc.identifier.apacitation | Vundla, N. (2019). <i>Numerical modelling of the Oldroyd-B fluid</i>. (). ,Engineering and the Built Environment ,Department of Mechanical Engineering. Retrieved from http://hdl.handle.net/11427/30996 | en_ZA |
| dc.identifier.chicagocitation | Vundla, Nkosilathi. <i>"Numerical modelling of the Oldroyd-B fluid."</i> ., ,Engineering and the Built Environment ,Department of Mechanical Engineering, 2019. http://hdl.handle.net/11427/30996 | en_ZA |
| dc.identifier.citation | Vundla, N. 2019. Numerical modelling of the Oldroyd-B fluid. | en_ZA |
| dc.identifier.ris | TY - Thesis / Dissertation AU - Vundla, Nkosilathi AB - The purpose of this thesis is to develop a 3D finite element model of the Oldroyd-B fluid for use in a complex geometry. The model is developed in deal.ii, which is a C++ finite element library. In addition to the standard finite element approach for the momentum equation, the discontinuous Galerkin method is used for the constitutive relation of the fluid model, with the extra stress as the unknown variable. The model developed is verified by using the symmetric “flow over a cylinder” benchmark problem. The effect of using piecewise-constant discontinuous and bilinear discontinuous elements for the extra stress field is investigated. The the results of the scheme are compared to those found in literature. The model is implemented in the solution of a complex problem of blood flow in an arteriovenous fistula, using geometry acquired from MRI data. A resistance boundary condition is used for the outlets. The flow profiles obtained from using both the Newtonian and Oldroyd-B fluids are validated against velocity encoded MRI and also compared to Fluid-Structure Interaction results for Newtonian fluids, from the literature. The effect of using a viscoelastic fluid on the flow profile and wall shear stresses are investigated. The results from this work show that using a viscoelastic fluid, rather than a Newtonian fluid, provides additional details regarding the wall shear stress in the arteriovenous fistula. DA - 2019 DB - OpenUCT DP - University of Cape Town KW - Mechanical Engineering LK - https://open.uct.ac.za PY - 2019 T1 - Numerical modelling of the Oldroyd-B fluid TI - Numerical modelling of the Oldroyd-B fluid UR - http://hdl.handle.net/11427/30996 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/30996 | |
| dc.identifier.vancouvercitation | Vundla N. Numerical modelling of the Oldroyd-B fluid. []. ,Engineering and the Built Environment ,Department of Mechanical Engineering, 2019 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/30996 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Mechanical Engineering | |
| dc.publisher.faculty | Faculty of Engineering and the Built Environment | |
| dc.subject | Mechanical Engineering | |
| dc.title | Numerical modelling of the Oldroyd-B fluid | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationname | MSc |