Global Eigenmodes Of Free-interface Vertical
Liquid Sheet Flows
Author(s)
M. Girfoglio, F. De Rosa, G. Coppola & L. de Luca
Abstract
The global dynamics of unsteady free-interface vertical liquid sheet flows is
studied, where the dynamics is termed global because it refers to the whole fluid
system. The formal development of a proper mathematical model is presented
initially, which accounts for pressure disturbances produced by the compliant
interface in an air enclosure adjacent to the sheet. The linear spectral analysis
(here restricted to sinuous disturbances only) shows that the surface tension
is globally stabilizing, the spectrum exhibiting two typical branches related to
the two characteristics curves of the governing equations. This basic finding is
confirmed by means of both computations of the optimal amplifications (i.e. the
greatest amplifications over all initial perturbations) of the relevant system energy
and direct numerical simulations of the spatio-temporal evolution of an initial
disturbance having the form of an interface Gaussian perturbation.
Keywords
Related Book
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