The UCM limit of the PTT equations at a re-entrant corner

DOI10.1016/j.jnnfm.2010.06.018zbMath1274.76105OpenAlexW1980244703MaRDI QIDQ377424

Jonathan D. Evans, David N. Sibley

Publication date: 6 November 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0377025710001849?np=y

zbMATH Keywords

stress singularityelastic boundary layersre-entrant cornerPhan-Thien-Tannerupper convected Maxwell

Mathematics Subject Classification ID

Viscoelastic fluids (76A10)

Cites Work

• Re-entrant corner flows of UCM fluids: the Cartesian stress basis
• Re-entrant corner flows of UCM fluids: the natural stress basis
• Re-entrant corner flow for PTT fluids in the natural stress basis
• Re-entrant corner behaviour of the PTT fluid with a solvent viscosity
• Re-entrant corner flows of PTT fluids in the Cartesian stress basis
• A new consitutive equation derived from network theory
• Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions
• Highly elastic solutions for Oldroyd-B and Phan-Thien/Tanner fluids with a finite volume/element method: planar contraction flows
• Numerical prediction of extensional flows in contraction geometries: hybrid finite volume/element method.
• Three-dimensional numerical simulations of viscoelastic flows through planar contractions
• Plane contraction flows of upper convected Maxwell and Phan-Thien-Tanner fluids as predicted by a finite volume method
• On the effect of contraction ratio in viscoelastic flow through abrupt contractions
• Re–entrant corner flows of the upper convected Maxwell fluid

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