Transient rotational flow of an Oldroyd-B fluid over a disk

DOI10.1063/1.868285zbMath0827.76006OpenAlexW2051727908MaRDI QIDQ4838739

Abhay Borkar, John A. Tsamopoulos

Publication date: 12 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.868285

zbMATH Keywords

Laplace transformssingular perturbationsstress fieldDeborah numbersimilarity assumptionsdiffusive mechanismpower series expansion in timeratio of solvent to polymeric viscositiesunsteady velocity

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) General theory of rotating fluids (76U05)

Related Items (1)

Finite amplitude long-wave instability of a thin viscoelastic fluid during spin coating

Cites Work

• Observations on the elastic instability in cone-and-plate and parallel- plate flows of a polyisobutylene Boger fluid
• Multiplicity of solutions in von Karman flows of viscoelastic fluids
• Coaxial-disk flow of an Oldroyd-B fluid: Exact solution and stability
• Non-Newtonian flow caused by an infinite rotating disc
• Note on the Rayleigh problem for a visco-elastic fluid
• Coaxial-disk flow and flow about a rotating disk of a Maxwellian fluid
• Run-up and spin-up in a viscoelastic fluid. I.
• Linearized dynamics for step jumps of velocity and displacement of shearing flows of a simple fluid
• Instability of a viscoelastic fluid between rotating parallel disks: analysis for the Oldroyd-B fluid
• On the flow due to a rotating disk
• A flow reversal due to edge effects
• Unsteady flow of an elastico-viscous liquid
• Rotation of an infinite plane lamina: Boundary layer growth: Motion started impulsively from rest

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