Stability of viscoelastic shear flows in the limit of high Weissenberg and Reynolds numbers

DOI10.1016/j.jnnfm.2008.05.007zbMath1274.76210OpenAlexW2038767969MaRDI QIDQ376963

Michael Renardy

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/S0377025708001110?np=y

zbMATH Keywords

stabilityshear flowhigh Weissenberg number limit

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (7)

Well-posedness of the Prandtl boundary layer equations for the upper convected Maxwell fluid ⋮ On the stability of plane parallel viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers ⋮ Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids ⋮ Instability of viscoelastic curved liquid jets ⋮ Well-posedness of the hydrostatic MHD equations ⋮ Inertio–elastic instability of a vortex column ⋮ Prandtl boundary layers for the Phan-Thien-Tanner and Giesekus fluid

Cites Work

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• Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
• Free liquid jets and films: Hydrodynamics and rheology
• On the instability of magnetohydrodynamic shear flows
• Linear stability of free shear flow of viscoelastic liquids
• Breakup of Liquid Sheets and Jets
• Instability of a high-speed submerged elastic jet

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