A purely elastic instability in Taylor–Couette flow
From MaRDI portal
Publication:3486968
DOI10.1017/S0022112090001124zbMath0706.76011OpenAlexW2026293591MaRDI QIDQ3486968
Eric S. G. Shaqfeh, Susan J. Muller, Ronald G. Larson
Publication date: 1990
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112090001124
Oldroyd-B fluidnumerical solutionviscoelastic instabilityapproximate Galerkin analysispolymer contributionssmall-gap eigenvalue problemTaylor-Couette flow of dilute polymer solutions
Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Hydrodynamic stability (76E99)
Related Items
Effect of gap width on stability of non-Newtonian Taylor-Couette flow ⋮ A low-dimensional spectral approach for the nonlinear overstability of purely elastic fluids ⋮ Three-dimensional stability of a thin film between two approaching drops ⋮ Viscoelastic Taylor–Couette instability in the Keplerian regime ⋮ Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers ⋮ Secondary flows due to finite aspect ratio in inertialess viscoelastic Taylor–Couette flow ⋮ Perturbative expansions of the conformation tensor in viscoelastic flows ⋮ Viscoelastic Poiseuille flow through a curved channel: A new elastic instability ⋮ A purely elastic instability in Dean and Taylor–Dean flow ⋮ Compliance effects on the torsional flow of a viscoelastic fluid ⋮ Purely elastic flow asymmetries in flow-focusing devices ⋮ Shear banding and interfacial instability in planar Poiseuille flow ⋮ Purely elastic instabilities in three-dimensional cross-slot geometries ⋮ Vortex merging and splitting events in viscoelastic Taylor–Couette flow ⋮ The effects of inertia on the viscoelastic Dean and Taylor–Couette flow instabilities with application to coating flows ⋮ Order in chaotic pseudoplastic flow between coaxial cylinders ⋮ Multistability of elasto-inertial two-dimensional channel flow ⋮ Inertial enhancement of the polymer diffusive instability ⋮ Effect of viscoelasticity on the soft-wall transition and turbulence in a microchannel ⋮ Rayleigh–Bénard convection in viscoelastic liquid bridges ⋮ Stability analysis of shear-thinning flow between rotating cylinders ⋮ Elastic turbulence in von Karman swirling flow between two disks ⋮ Suspension Taylor–Couette flow: co-existence of stationary and travelling waves, and the characteristics of Taylor vortices and spirals ⋮ A Stokesian viscoelastic flow: transition to oscillations and mixing ⋮ An examination of droplet deformation and break-up between concentrically rotating cylinders ⋮ A theory of magnetic-like fields for viscoelastic fluids ⋮ Influence of energetics on the stability of viscoelastic Taylor–Couette flow ⋮ A low-dimensional approach to nonlinear plane-Couette flow of viscoelastic fluids ⋮ Achieving uniform concentration by optimised dosage in a microchannel ⋮ Linear instability of viscoelastic pipe flow ⋮ Elastic flow instability, curved streamlines, and mixing in microfluidic flows ⋮ Stretching and mixing of non-Newtonian fluids in time-periodic flows ⋮ Non-isothermal modification of purely elastic flow instabilities in torsional flows of polymeric fluids ⋮ Experimental study of inertioelastic Couette–Taylor instability modes in dilute and semidilute polymer solutions ⋮ A low-dimensional approach to nonlinear plane–Poiseuille flow of viscoelastic fluids ⋮ On the hydrodynamic stability of pulsatile flow in a plane channel ⋮ A reverse transition route from inertial to elasticity-dominated turbulence in viscoelastic Taylor–Couette flow ⋮ Rayleigh–Taylor instability in a viscoelastic binary fluid ⋮ Coating flows of non-Newtonian fluids: weakly and strongly elastic limits ⋮ Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids ⋮ Stretching of polymers in a turbulent environment ⋮ Flow regimes in model viscoelastic fluids in a circular couette system with independently rotating cylinders ⋮ Onset of Taylor vortices and chaos in viscoelastic fluids ⋮ Nonlinear dynamics of viscoelastic Taylor–Couette flow: effect of elasticity on pattern selection, molecular conformation and drag ⋮ Onset of transition in the flow of polymer solutions through microtubes ⋮ A mechanism for oscillatory instability in viscoelastic cross-slot flow ⋮ Stability and the transition to turbulence in the flow through conduits with compliant walls ⋮ Shear-thinning mediation of elasto-inertial Taylor–Couette flow ⋮ Viscoelastic shear flow over a wavy surface ⋮ Simulation of viscoelastic fluids: Couette-Taylor flow ⋮ The correspondence between drag enhancement and vortical structures in turbulent Taylor–Couette flows with polymer additives: a study of curvature dependence ⋮ Control of a purely elastic symmetry-breaking flow instability in cross-slot geometries ⋮ Geometric scaling of a purely elastic flow instability in serpentine channels ⋮ Inertio–elastic instability of a vortex column ⋮ Vorticity amplification in wavy viscoelastic channel flow ⋮ Linear stability analysis of channel flow of viscoelastic Oldroyd-B and FENE-P fluids ⋮ Elastically induced turbulence in Taylor–Couette flow: direct numerical simulation and mechanistic insight
Cites Work
- Cone-and-plate flow of the Oldroyd-B fluid is unstable
- Coaxial-disk flow of an Oldroyd-B fluid: Exact solution and stability
- Steady spinning of the Oldroyd fluid B. II. Experimental results
- The stability of gravity driven viscoelastic film-flow at low to moderate Reynolds number
- Foundations of Linear Viscoelasticity
- Transition in circular Couette flow
- The Numerical Solution of Linear Boundary Value Problems
- The stability of steady and time-dependent plane Poiseuille flow
- Zur Stabilität von Strömungen viskoelastischer Flüssigkeiten
- Taylor vortices and the evaluation of material constants: a critical assessment
- The stability of elastico-viscous flow between rotating cylinders. Part 1
