The dispersion relation of capillary waves in a plane moving liquid curtain is critically re-analyzed with an eye to its behavior near the origin of wavenumber space and the large-time asymptotics of the corresponding Green's function. Evidence is found that recent and less recent theories supporting the existence of a zero-wavenumber algebraic absolute instability contain serious inconsistencies. (C) 2004 American Institute of Physics.
Is a plane liquid curtain algebraically absolutely unstable?
LUCHINI, Paolo
2004
Abstract
The dispersion relation of capillary waves in a plane moving liquid curtain is critically re-analyzed with an eye to its behavior near the origin of wavenumber space and the large-time asymptotics of the corresponding Green's function. Evidence is found that recent and less recent theories supporting the existence of a zero-wavenumber algebraic absolute instability contain serious inconsistencies. (C) 2004 American Institute of Physics.File in questo prodotto:
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