Authors: David V Evans Malte A Peter
Publish Date: 2009/12/15
Volume: 69, Issue: 2-3, Pages: 135-154
Abstract
On the basis of linear waterwave theory an explicit expression is presented for the reflection coefficient R ∞ when a plane wave is obliquely incident upon a semiinfinite 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 complexvalued 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
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