NDLI: Asymptotic reflection of linear water waves by submerged horizontal porous plates

Content Provider	Springer Nature Link
Author	Evans, David V. Peter, Malte A.
Copyright Year	2009
Abstract	On the basis of linear water-wave theory, an explicit expression is presented for the reflection coefficient R ∞ when a plane wave is obliquely incident upon a semi-infinite porous plate in water of finite depth. The expression, which correctly models the singularity in velocity at the edge of the plate, does not rely on knowledge of any of the complex-valued eigenvalues or corresponding vertical eigenfunctions in the region occupied by the plate. The solution R ∞ is the asymptotic limit of the reflection coefficient R as a → ∞, for a plate of finite length a bounded by a rigid vertical wall, and forms the basis of a rapidly convergent expansion for R over a wide range of values of a. The special case of normal incidence is relevant to the design of submerged wave absorbers in a narrow wave tank. Modifications necessary to account for a finite submerged porous plate in a fluid extending to infinity in both horizontal directions are discussed.
Starting Page	135
Ending Page	154
Page Count	20
File Format	PDF
ISSN	00220833
Journal	Journal of Engineering Mathematics
Volume Number	69
Issue Number	2-3
e-ISSN	15732703
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-12-15
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Porous plate Residue-calculus method Water waves Wiener–Hopf method Numeric Computing Mathematical Modeling and Industrial Mathematics Analysis Applications of Mathematics Mechanics
Content Type	Text
Resource Type	Article
Subject	Mathematics Engineering

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