Summary
In a recent paperHunt andTanner [3]2) investigated the waves generated by a steadily moving two-dimensional pressure distribution, which was zero ahead of the disturbance and a constantp 0, tehind it, these regions being joined smoothly by a cubic function. Only those solutions with supercritical flow in both regions were considered, these were found to lead to an asymmetric solitary wave.
This result is now extended to take account of the possibility of subcritical flow in either or both the regions, that is when there is a cnoidal wave train either behind and or ahead of the main solitary wave crest.
The wave profiles are determined by the iterative method employed in the previous paper. This together with the wave drag associated with each system is computed for various values ofp 0/ϱU 2, where ϱ is the fluid density andU a typical velocity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. B. Benjamin andM. J. Lighthill, Proc. Roy. Soc. [A]224 (1954), 448–60.
J. N. Hunt, La Houille Blanche10, 2 (1955), 197–203.
J. N. Hunt andD. A. Tanner, Pageoph85, (1971) 303–23.
T. Levi-Civita, Rend. Acc. Linc. (5)20 (1911), 605.
T. Levi-Civita, Rend. Acc. Linc. (5)33 (1924), 141.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tanner, D.A. On waves generated by a moving pressure field, II: Cnoidal wave effects. PAGEOPH 97, 111–126 (1972). https://doi.org/10.1007/BF00875955
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00875955