An experimental study of the Saffman-Taylor instability

P. Tabeling, Giovanni Zocchi, Albert Libchaber

Journal of Fluid Mechanics · 1987 · 232 citations · 23 references

Concepts

Abstract

An experiment on the Saffman-Taylor instability with wetting fluids is presented that explores a greater range of capillary numbers than did the original experiment of Saffman and Taylor. It turns out that no clear one-half plateau for the finger size is observed, and that the ensemble of experiments cannot be analysed in terms of a single control parameter. The effect of the film of oil left behind the finger is important, and we measure its thickness. A qualitative discussion of the instabilities of the fingers for large capillary numbers is presented, the first instability leading to asymmetrical fingers. Tip splitting appears for larger values of 1/ B . The 1/ B value for the onset of instabilities is shown to be noise dependent.

References

23