https://doi.org/10.1007/s100510050753
Faraday instability with a polymer solution
1
Laboratoire de Mécanique des Fluides et d'Acoustique (UMR CNRS 5509) ,
École Centrale de Lyon et Université Lyon I,
36 avenue Guy de Collongue, B.P. 163, 69131 Écully Cedex
France
2
Laboratoire de Physique Stastistique (URA CNRS 1306) ,
École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France
Received:
5
January
1999
Published online: 15 May 1999
We present an experimental study of the Faraday instability in which we compare the behavior of a Newtonian fluid (water-glycerine mixture) with that of a semi-dilute non-Newtonian solution of high molecular weight polymer. We show that although the dispersion relation of surface waves, derived for a layer of inviscid fluid, remains valid in that particular non-Newtonian case, the behavior of the instability threshold with frequency strongly differs from the Newtonian case. We explain this effect as a result of a frequency-dependent viscosity. The linear stability analysis of the non-Newtonian case shows a perfect agreement with the experimental results both for the dispersion relation and for the reduction of the instability threshold. We discuss the use of the characteristics of the Faraday experiment as a measurement tool to determine frequency dependent properties of non-Newtonian fluids.
PACS: 47.20.-k – Hydrodynamic stability / 47.50.+d – Non-Newtonian fluid flows
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999