Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid

Treballs Finals de Màster en Física dels Sistemes Complexos i Biofísica, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Jordi Ortín

Detalles Bibliográficos
Autor: Codina Vilanova, Arnau
Tipo de recurso: tesis de maestría
Fecha de publicación:2024
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/219274
Acceso en línea:https://hdl.handle.net/2445/219274
Access Level:acceso abierto
Palabra clave:Mecànica de fluids
Viscoelasticitat
Oscil·lacions
Treballs de fi de màster
Fluid mechanics
Viscoelasticity
Oscillations
Master's thesis
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spelling Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluidCodina Vilanova, ArnauMecànica de fluidsViscoelasticitatOscil·lacionsTreballs de fi de màsterFluid mechanicsViscoelasticityOscillationsMaster's thesisTreballs Finals de Màster en Física dels Sistemes Complexos i Biofísica, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Jordi OrtínOscillatory fluid flows play an important role in fluid mechanics for their long history and numerous applications. In this work we will start off from Stokes’ second problem of the boundary layer adjacent to an oscillatory wall in order to study the wall-bounded zero-mean oscillatory flow of a viscoelastic fluid placed between two parallel plates oscillating synchronously. From related experiments on the oscillatory flow of a viscoelastic solution in a vertical tube we know that the rectilinear flow at small forcing amplitudes gives rise to a secondary flow with toroidal vortices at larger amplitudes. Our purpose is to provide a theoretical understanding of this instability in a simpler setup. We analytically solve the governing equations of the periodic base flow, and carry out a Floquet linear stability analysis of the stress and velocity fields. We apply the Galerkin spectral method to numerically solve the corresponding generalized eigenvalue problem, and provide instability thresholds in forcing amplitude for both resonant and non-resonant forcing frequenciesOrtín, Jordi, 1959-2024info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2445/219274Màster Oficial - Física dels Sistemes Complexos i Biofísicareponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaIngléscc-by-nc-nd (c) Codina, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/2192742026-05-27T06:46:51Z
dc.title.none.fl_str_mv Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
title Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
spellingShingle Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
Codina Vilanova, Arnau
Mecànica de fluids
Viscoelasticitat
Oscil·lacions
Treballs de fi de màster
Fluid mechanics
Viscoelasticity
Oscillations
Master's thesis
title_short Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
title_full Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
title_fullStr Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
title_full_unstemmed Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
title_sort Floquet stability analysis of a wall-bounded oscillatory flow of a viscoelastic fluid
dc.creator.none.fl_str_mv Codina Vilanova, Arnau
author Codina Vilanova, Arnau
author_facet Codina Vilanova, Arnau
author_role author
dc.contributor.none.fl_str_mv Ortín, Jordi, 1959-
dc.subject.none.fl_str_mv Mecànica de fluids
Viscoelasticitat
Oscil·lacions
Treballs de fi de màster
Fluid mechanics
Viscoelasticity
Oscillations
Master's thesis
topic Mecànica de fluids
Viscoelasticitat
Oscil·lacions
Treballs de fi de màster
Fluid mechanics
Viscoelasticity
Oscillations
Master's thesis
description Treballs Finals de Màster en Física dels Sistemes Complexos i Biofísica, Facultat de Física, Universitat de Barcelona. Curs: 2023-2024. Tutor: Jordi Ortín
publishDate 2024
dc.date.none.fl_str_mv 2024
dc.type.none.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/219274
url https://hdl.handle.net/2445/219274
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Codina, 2024
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Codina, 2024
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Màster Oficial - Física dels Sistemes Complexos i Biofísica
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406203551940608
score 15.811543

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