Second-Order Standing Waves Bounded by Circular Cylinders

by John N. Hunt,
Rafik E. Baddour,

Serial Information: Journal of the Waterway, Port, Coastal and Ocean Division, 1980, Vol. 106, Issue 1, Pg. 122-127

Document Type: Journal Paper

Discussion: May Richard W.P. (See full record)
Discussion: Isaacson Michael de St. Q. (See full record)
Closure: (See full record)

Abstract: In the present note Isaacson.s assertion is refuted by the derivation of a second-order solution for standing waves external to a circular cylinder, satisfying all necessary mathematical conditions. Slight modifications to the first-order profile and fluid velocities are given by this solution, similar to those due to second-order terms in other standing wave problems. However, the principal result in this note is the formal procedure for the second-order term in a Stokers expansion in the presence of a circular cylinder.

Subject Headings: Standing waves | Cylinders | Wave velocity | Velocity profile

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