Premium
The propagation of surface waves in flow down an oscillating inclined plane
Author(s) -
Weinstein Steven J.,
Baumlin JeanMarie,
Servant Jeanne
Publication year - 1993
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690390704
Subject(s) - mechanics , oscillation (cell signaling) , perpendicular , dispersion relation , wavelength , physics , plane (geometry) , dispersion (optics) , amplitude , surface wave , free surface , flow (mathematics) , wave propagation , inclined plane , mechanical wave , longitudinal wave , optics , geometry , chemistry , mathematics , biochemistry , quantum mechanics
The propagation of surface waves is investigated theoretically and experimentally for the case of a single layer of viscous liquid flowing down an inclined plane, where the plane is oscillating in the flow direction. This work focuses on the linearized wavemaker problem, where the oscillations create waves which are small perturbations from the undisturbed flow. Downstream from the entrance region to the incline where the fluid is introduced, the undisturbed interface is parallel to the incline surface, and theory predicts that oscillations do not interact with waves that travel along the free surface. These waves grow as if there were no oscillation at all, and their propagation is governed by a dispersion relation between frequency, wavelength, and wave growth for single layer flow down a nonoscillating inclined plane. The entrance region to the incline is therefore responsible for exciting the various wave frequencies which are observed down the incline, as well as the initial amplitude of these waves. Experiments performed verify that waves propagate as predicted. Theory indicates that these conclusions are valid when the oscillations are perpendicular to the incline, as well as for the case of multiple stacked layers.