Floquet analysis on a viscous cylindrical fluid surface subject to a time-periodic radial acceleration.

Parametrically excited standing waves are observed on a cylindrical fluid filament. This is the cylindrical analog of the Faraday instability in a flat surface or spherical droplet. Using Floquet theory, a linear stability analysis is carried out on a viscous cylindrical fluid surface, which is subjected to a time-periodic radial acceleration. Viscosity of the fluid has a significant impact on the critical forcing amplitude as well as the dispersion relation of the non-axisymmetric patterns. The effect of viscosity on the threshold of the pattern with azimuthal wavenumber m = 1 shows a different dependence from m > 1 . It is also observed that the effect of viscosity is greater on the threshold with higher m. [ABSTRACT FROM AUTHOR]