STABILITY OF TWO SUPERPOSED VISCOUS-VISCOELASTIC FLUIDS

Abstract

The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying a Rivlin-Ericksen viscoelastic fluid is considered. Upon application of normal mode technique, the dispersion relation is obtained. As in both Newtonian viscous-viscous fluids the system is stable in the potentially stable case and unstable in the potentially unstable case, this holds for the present problem also. The behaviour of growth rates with respect to kinematic viscosity and kinematic viscoelasticity parameters are examined numerically and it is found that both kinematic viscosity and kinematic viscoelasticity have stabilizing effect.

Keywords

Dates

  • Submission Date2005-03-05
  • Revision Date2005-06-25
  • Acceptance Date2005-08-18

References

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Volume 9, Issue 2, Pages87 -95