Publikationsdatum:
1992-09-01
Beschreibung:
A long-wave evolution equation is used to study a falling film on a vertical plate. For certain wavenumbers there exists a two-dimensional strongly nonlinear permanent wave. A new secondary instability is identified in which the three-dimensional disturbance is spatially synchronous with the two-dimensional wave. The instability grows for sufficiently small cross-stream wavenumbers and does not require a threshold amplitude the two-dimensional wave is always unstable. In addition, the nonlinear evolution of three-dimensional layers is studied by posing various initial-value problems and numerically integrating the long-wave evolution equation. © 1992, Cambridge University Press. All rights reserved.
Print ISSN:
0022-1120
Digitale ISSN:
1469-7645
Thema:
Maschinenbau
,
Physik
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