A Stokesian viscoelastic flow: transition to oscillations and mixing

DOI10.1016/j.physd.2011.06.011zbMath1385.76002OpenAlexW2089752278WikidataQ59425931 ScholiaQ59425931MaRDI QIDQ651189

Michael J. Shelley, Jean-Luc Thiffeault, Becca Thomases

Publication date: 8 December 2011

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.06.011

zbMATH Keywords

instabilityOldroyd-B modelAdams-Bashfort-Crank-Nicolson methodcellular flowsingle-quadrant vortexsymmetry-breaking transition

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Hydrodynamic stability (76E99)

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Cites Work

• Unnamed Item
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• Observations on the elastic instability in cone-and-plate and parallel- plate flows of a polyisobutylene Boger fluid
• A comment on smoothness of viscoelastic stresses
• Coaxial-disk flow of an Oldroyd-B fluid: Exact solution and stability
• Polymer solution rheology based on a finitely extensible bead-spring chain model
• Topological Hopf algebras and braided monoidal categories
• Spectral methods for incompressible viscous flow
• Existence of solutions for all Deborah numbers for a non-Newtonian model modified to include diffusion
• Finite time Lyapunov exponent and advection-diffusion equation
• Computing nearly singular solutions using pseudo-spectral methods
• Scalar Decay in Chaotic Mixing
• A purely elastic instability in Taylor–Couette flow
• What controls the decay of passive scalars in smooth flows?
• A mechanism for oscillatory instability in viscoelastic cross-slot flow
• Instability of a viscoelastic fluid between rotating parallel disks: analysis for the Oldroyd-B fluid
• The role of chaotic orbits in the determination of power spectra of passive scalars
• F<scp>ILAMENT</scp>-S<scp>TRETCHING</scp> R<scp>HEOMETRY OF</scp> C<scp>OMPLEX</scp> F<scp>LUIDS</scp>
• Stirring by chaotic advection
• Emergence of singular structures in Oldroyd-B fluids
• Peristaltic pumping and irreversibility of a Stokesian viscoelastic fluid
• The axisymmetric contraction-expansion: The role of extensional rheology on vortex growth dynamics and the enhanced pressure drop
• The twisted top

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