Instability of the large Reynolds number flow of a Newtonian fluid over a viscoelastic fluid

Kangping Chen, D. G. Crighton

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The stability of the large Reynolds number flow of a Newtonian fluid over a much more viscous viscoelastic fluid is studied via a linear analysis. The two fluids are confined within a channel and the flow is driven by the motion of the plate bounding the Newtonian fluid. Matched asymptotic expansions are used to derive the dispersion relation, and the flow is found to be always unstable to an interfacial mode due to the discontinuity in the fluid viscosities. It is shown that even a small amount of elasticity of the viscoelastic fluid can change the stability characteristics considerably.

Original languageEnglish (US)
Pages (from-to)152-163
Number of pages12
JournalPhysics of Fluids
Volume6
Issue number1
StatePublished - 1994

Fingerprint

Newtonian fluids
Reynolds number
Fluids
fluids
channel flow
discontinuity
elastic properties
viscosity
expansion
Elasticity
Viscosity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Fluid Flow and Transfer Processes

Cite this

Instability of the large Reynolds number flow of a Newtonian fluid over a viscoelastic fluid. / Chen, Kangping; Crighton, D. G.

In: Physics of Fluids, Vol. 6, No. 1, 1994, p. 152-163.

Research output: Contribution to journalArticle

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