Re-entrant corner flows of Oldroyd-B fluids

DOI10.1098/rspa.2004.1410zbMath1186.76618OpenAlexW2149329898MaRDI QIDQ5427637

Jonathan D. Evans

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1410

zbMATH Keywords

self-similar solutionsOldroyd-B fluidstress singularityboundary layersre-entrant corner

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Viscoelastic fluids (76A10)

Related Items (7)

Flow bifurcation and eddy genesis in an L-shaped cavity ⋮ Testing viscoelastic numerical schemes using the Oldroyd-B fluid in Newtonian kinematics ⋮ Viscoelastic sink flow in a wedge for the UCM and Oldroyd-B models ⋮ Re-entrant corner flows of UCM fluids: the Cartesian stress basis ⋮ Re-entrant corner behaviour of the Giesekus fluid with a solvent viscosity ⋮ Re-entrant corner flows of upper convected Maxwell fluids: the small and high Weissenberg number limits ⋮ Application of the natural stress formulation for solving unsteady viscoelastic contraction flows

Cites Work

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• The flow of an Oldroyd fluid past a reentrant corner: The downstream boundary layer
• Calculation of steady-state viscoelastic flow through axisymmetric contractions with the EEME formulation
• The flow of an Oldroyd fluid around a sharp corner
• On corner flows of Oldroyd-B fluids
• Re–entrant corner flows of the upper convected Maxwell fluid
• Viscous and resistive eddies near a sharp corner

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