On a linear instability of a plane parallel couette flow of viscoelastic fluid

DOI10.1016/0021-8928(67)90156-6zbMath0166.45101OpenAlexW2313319424MaRDI QIDQ5552651

Valentin A. Gorodtsov, Arkadii I. Leonov

Publication date: 1967

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(67)90156-6

zbMATH Keywords

fluid mechanics

Related Items (28)

Linear stability analysis of purely elastic travelling-wave solutions in pressure-driven channel flows ⋮ Stability of the flow of a viscoelastic fluid past a deformable surface in the low Reynolds number limit ⋮ Stability of the plane shear flow of dilute polymeric solutions ⋮ Transient growth without inertia ⋮ Spurt and instability in a two-layer Johnson-Segalman liquid ⋮ Stress modes in linear stability of viscoelastic flows ⋮ The critical wall velocity for stabilization of plane Couette-Poiseuille flow of viscoelastic fluids ⋮ Decoupled second-order transient schemes for the flow of viscoelastic fluids without a viscous solvent contribution ⋮ Energy amplification in channel flows of viscoelastic fluids ⋮ Effect of inhaled air temperature on mucus dynamics in the proximal airways ⋮ Stability of the viscous flow of a polymeric fluid past a flexible surface ⋮ Hyperbolic submodels of an incompressible viscoelastic Maxwell medium ⋮ Effect of wall slip on the stability of viscoelastic plane shear flow ⋮ Linear instability of viscoelastic pipe flow ⋮ Elastic flow instability, curved streamlines, and mixing in microfluidic flows ⋮ Purely elastic instabilities in the airways and oral area ⋮ Purely elastic linear instabilities in parallel shear flows with free-slip boundary conditions ⋮ Subcritical and supercritical bifurcations in axisymmetric viscoelastic pipe flows ⋮ On the stability of Couette flow of a second-order fluid ⋮ Efficient computation of the spectrum of viscoelastic flows ⋮ Stability and the transition to turbulence in the flow through conduits with compliant walls ⋮ Role of viscoelasticity in instability in plane shear flow over a deformable solid ⋮ On Squire's theorem for viscoelastic fluids ⋮ Viscoelastic shear flow over a wavy surface ⋮ Subcritical instabilities in plane Poiseuille flow of an Oldroyd-B fluid ⋮ Elasto-inertial wall mode instabilities in viscoelastic plane Poiseuille flow ⋮ The centre-mode instability of viscoelastic plane Poiseuille flow ⋮ Inertio–elastic instability of a vortex column

Cites Work

• The stability of elastico-viscous flow between rotating cylinders. Part 2
• The hydrodynamics of materials whose rheological properties are complicated
• On the stability of visco-elastic liquids in heated plane Couette flow

This page was built for publication: On a linear instability of a plane parallel couette flow of viscoelastic fluid