Long-Time Solutions For Blood Flow In A Pipe

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dc.contributor.advisorMichael C Haslam
dc.contributor.authorElahian, Azadeh
dc.date.accessioned2025-07-23T15:21:53Z
dc.date.available2025-07-23T15:21:53Z
dc.date.copyright2025-05-09
dc.date.issued2025-07-23
dc.date.updated2025-07-23T15:21:53Z
dc.degree.disciplineApplied and Industrial Mathematics
dc.degree.levelMaster's
dc.degree.nameMSc - Master of Science
dc.description.abstractThis thesis presents an efficient Chebyshev-tau spectral solver solver to compute numerical solutions of the equations of motion of a viscous fluid in a circular pipe subject to the generalized Oldroyd-B stress model of Yeleswarapu [1] corresponding to the flow of a viscoelastic fluid with a shear rate dependent viscosity function. The code relies on an explicit fourth order Runge-Kutta time stepping procedure with O(N logN) operations per time step enabled by the use of fast cosine transforms. The resulting code is spectrally accurate in the number of spatial discetization points N. This solver is a significant improvement to what was previously available for this problem [1] and allows us to compare solutions corresponding to different shear rate dependent viscosity models by Powell-Eyring, Yeleswarapu and Carreau over long evolution times.
dc.identifier.urihttps://hdl.handle.net/10315/43053
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectMechanical engineering
dc.subjectApplied mathematics
dc.subjectBiomechanics
dc.subject.keywordsShear stress
dc.subject.keywordsStress profile
dc.subject.keywordsChebyshev polynomial
dc.subject.keywordsvelocity profile
dc.subject.keywordsOldroyd-B stress model
dc.subject.keywordsChebyshev expansion
dc.subject.keywordsstability
dc.subject.keywordsLimit Cycle
dc.titleLong-Time Solutions For Blood Flow In A Pipe
dc.typeElectronic Thesis or Dissertation

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