A purely elastic instability in Dean and Taylor–Dean flow

DOI10.1063/1.858325zbMath0748.76047OpenAlexW2075890578MaRDI QIDQ4008630

Eric S. G. Shaqfeh, Yong Lak Joo

Publication date: 27 September 1992

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858325

zbMATH Keywords

linear stabilitypressure gradientvortex flowoscillatory instabilityviscoelastic flowrotating cylindersOldroyd--B fluidpolymeric stress gradients

Mathematics Subject Classification ID

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

Related Items (8)

Dean instability in ferrofluids ⋮ Instability of a viscoelastic fluid between rotating parallel disks: analysis for the Oldroyd-B fluid ⋮ Perturbative expansions of the conformation tensor in viscoelastic flows ⋮ Purely elastic instabilities in three-dimensional cross-slot geometries ⋮ The effects of inertia on the viscoelastic Dean and Taylor–Couette flow instabilities with application to coating flows ⋮ Nonlinear analysis of instability modes in the Taylor–Dean system ⋮ Elastic flow instability, curved streamlines, and mixing in microfluidic flows ⋮ Viscoelastic flows in mixing-separating cells

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
• The stability of gravity driven viscoelastic film-flow at low to moderate Reynolds number
• The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders
• A purely elastic instability in Taylor–Couette flow
• The stability of the helical flow of pseudoplastic liquids in a narrow annular gap with a rotating inner cylinder
• The effects of gap width and dilute solution properties on the viscoelastic Taylor-Couette instability
• A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer
• The Numerical Solution of Linear Boundary Value Problems
• The stability of steady and time-dependent plane Poiseuille flow
• Viscoelastic Poiseuille flow through a curved channel: A new elastic instability

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