### 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 language | English (US) |
---|---|

Pages (from-to) | 152-163 |

Number of pages | 12 |

Journal | Physics of Fluids |

Volume | 6 |

Issue number | 1 |

State | Published - 1994 |

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### ASJC Scopus subject areas

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

### Cite this

*Physics of Fluids*,

*6*(1), 152-163.

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

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 6, no. 1, pp. 152-163.

}

TY - JOUR

T1 - Instability of the large Reynolds number flow of a Newtonian fluid over a viscoelastic fluid

AU - Chen, Kangping

AU - Crighton, D. G.

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=30244540912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=30244540912&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:30244540912

VL - 6

SP - 152

EP - 163

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 1

ER -