Applied Scientific Research

, Volume 48, Issue 3–4, pp 329–340 | Cite as

Stability analysis of fluid-fluid interfaces

  • T. M. M. Verheggen
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Abstract

Two problems in pipe flow are discussed in which the stability of fluid-fluid interfaces plays an important role. A stability analysis for a simplified 2-D geometry is presented. In gas-liquid pipe flow different flow regimes occur. This is known to be related to the stability properties of the flow. We shall present a linear stability analysis of plane two-phase Poiseuille flow. Two different unstable modes can occur, corresponding to experimental findings for pipe flow. The first is a finite wavelength mode related to the transition to wavy flow via a Hopf bifurcation. The second unstable mode is an infinite wavelength mode, which may be related to the transition to slug flow. Core-annular flow can be used to transport very viscous crude oils. The crude oil is surrounded by a thin water film, which prevents the core from touching the wall. In the hydrodynamic force balance, waves on the interface play an important role. A linear stability analysis of plane Poiseuille-Couette flow can predict the wavelength in agreement with experimental results even far beyond the critical point. No non-linear analysis is available as yet.

Keywords

Hopf Bifurcation Hydrodynamic Force Linear Stability Analysis Unstable Mode Pipe Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • T. M. M. Verheggen
    • 1
  1. 1.Koninklijke/Shell-Laboratorium, Amsterdam (Shell Research B.V.)AmsterdamThe Netherlands

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