Stability of Plane-Parallel Vibrational Flow In a Two-Layer System

Details Stability of Plane-Parallel Vibrational Flow In a Two-Layer System Stability of Plane-Parallel Vibrational Flow In a Two-Layer System

1999-08-04

arxiv.org/abs/physics/9908007v1

Physics

Fluid Dynamics

15 pages, 6 figures; soon to appear in European Journal of Fluid Mechanics

Scientific paper

10.1016/S0997-7546(99)00143-0

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple basic state which corresponds to the unperturbed interface and plane-parallel unsteady counter flows; the properties of this state are examined. A linear stability problem for the interface is formulated and solved a) for both inviscid and b) for both viscous fluids. A transformation is found which reduces the linear stability problem under inviscid approximation to the Mathieu equation. The parametric resonant regions of instability associated with the intensification of capillary-gravity waves at the interface are examined and the results are compared to those found in the viscous case in a fully numerical investigation.

Affiliated with

Also associated with

No associations

Rating

Stability of Plane-Parallel Vibrational Flow In a Two-Layer System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability of Plane-Parallel Vibrational Flow In a Two-Layer System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of Plane-Parallel Vibrational Flow In a Two-Layer System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374157