Viscoelastic stresses in the stagnation flow of a dilute polymer solution

DOI10.1016/j.jnnfm.2009.04.009zbMath1178.76071OpenAlexW2075042256MaRDI QIDQ1046024

Robert A. van Gorder, F. Talay Akyildiz, Kuppalapalle Vajravelu

Publication date: 21 December 2009

Published in: Journal of Non-Newtonian Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnnfm.2009.04.009

zbMATH Keywords

exact solutionupper convected Maxwell fluidpartial differential equationsstagnation flowstress singularities

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Viscoelastic fluids (76A10)

Related Items (2)

Do general viscoelastic stresses for the flow of an upper convected Maxwell fluid satisfy the momentum equation? ⋮ Birefringent strands drive the flow of viscoelastic fluids past obstacles

Cites Work

• Scaling of singular structures in extensional flow of dilute polymer solutions
• Stress singularities and the formation of birefringent strands in stagnation flows of dilute polymer solutions
• Purely elastic flow asymmetries in flow-focusing devices
• High-Deborah-number flow of a dilute polymer solution past a sphere falling along the axis of a cylindrical tube
• A comment on smoothness of viscoelastic stresses
• Viscoelastic stagnation point flow in a wake
• A mechanism for oscillatory instability in viscoelastic cross-slot flow
• Stagnation flows for the Oldroyd-B fluid
• Plane and axi-symmetric stagnation flow of a Maxwellian fluid
• Emergence of singular structures in Oldroyd-B fluids

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