Abstract
DURING experiments on the propagation of water waves in channels with parallel sides made of Perspex, it was found that the phase velocities of small-amplitude waves with wavelengths in the range 40–100 mm were consistently higher than predicted by the standard hydrodynamic theory1,2. The original observations of this anomaly were made in a channel 100 mm wide filled to a depth of 50 mm. For these none too small dimensions, the standard theory might be expected to provide a close approximation to the wave velocity, but velocities ∼0.5% too high were observed. Highly surface-clean water and clean apparatus was used in all the experiments, and with these precautions the measurements proved to be wholly reproducible, prompting a closer examination, which is described here, of the wave motion to detect the cause of the anomaly. It was seen that the lines of contact between the water surface and the sides of the channel did not in fact rise and fall in step with the movement of the surface at the centre of the channel, instead remaining fixed in their original locations with the water at rest.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Lamb, H. Hydrodynamics, 6th edn, sect. 267 (1932).
Ramsey, A. S. A Treatise on Hydromechanics, 4th edn, sect. 10.61 (1935).
Benjamin, T. B. & Scott, J. C. J. Fluid Mechan. (in the press).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
SCOTT, J., BENJAMIN, T. Waves in narrow channels: faster capillary waves. Nature 276, 803–805 (1978). https://doi.org/10.1038/276803a0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/276803a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.