Complex fluid dynamical computations via the Finite Volume Method

dc.contributor.advisorChinyoka, Tiri
dc.contributor.authorRahantamialisoa, Faniry Nadia Zazaravaka
dc.date.accessioned2019-03-01T08:41:12Z
dc.date.available2019-03-01T08:41:12Z
dc.date.issued2018
dc.date.updated2019-02-25T10:48:45Z
dc.description.abstractNumerical 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 OpenFOAMĀ® 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.
dc.identifier.apacitationRahantamialisoa, F. N. Z. (2018). <i>Complex fluid dynamical computations via the Finite Volume Method</i>. (). University of Cape Town ,Faculty of Science ,Department of Maths & Applied Maths. Retrieved from http://hdl.handle.net/11427/29860en_ZA
dc.identifier.chicagocitationRahantamialisoa, Faniry Nadia Zazaravaka. <i>"Complex fluid dynamical computations via the Finite Volume Method."</i> ., University of Cape Town ,Faculty of Science ,Department of Maths & Applied Maths, 2018. http://hdl.handle.net/11427/29860en_ZA
dc.identifier.citationRahantamialisoa, F. 2018. Complex fluid dynamical computations via the Finite Volume Method. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Rahantamialisoa, Faniry Nadia Zazaravaka AB - 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 OpenFOAMĀ® 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. DA - 2018 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2018 T1 - Complex fluid dynamical computations via the Finite Volume Method TI - Complex fluid dynamical computations via the Finite Volume Method UR - http://hdl.handle.net/11427/29860 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/29860
dc.identifier.vancouvercitationRahantamialisoa FNZ. Complex fluid dynamical computations via the Finite Volume Method. []. University of Cape Town ,Faculty of Science ,Department of Maths & Applied Maths, 2018 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/29860en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherComputational and Applied Mechanics
dc.subject.otherMathematics and Applied Mathematics
dc.titleComplex fluid dynamical computations via the Finite Volume Method
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc
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