Asymptotic Formulas for the Reflection-Transmission of Long Water Waves Propagating in a Tapered and Slender HarborReport as inadecuate

Asymptotic Formulas for the Reflection-Transmission of Long Water Waves Propagating in a Tapered and Slender Harbor - Download this document for free, or read online. Document in PDF available to download.

Journal of Applied Mathematics - Volume 2015 2015, Article ID 184147, 10 pages -

Research Article

Instituto Politécnico Nacional, SEPI ESIME Azcapotzalco, Avenida de las Granjas No. 682, Colonia Santa Catarina, Delegación Azcapotzalco, 02250 México, DF, Mexico

Departamento de Termofluidos, Facultad de Ingeniería, UNAM, 04510 México, DF, Mexico

Received 29 April 2015; Accepted 7 July 2015

Academic Editor: Michael Meylan

Copyright © 2015 Eric-Gustavo Bautista et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We obtain asymptotic formulas for the reflection-transmission coefficients of linear long water waves, propagating in a harbor composed of a tapered and slender region connected to uniform inlet and outlet regions. The region with variable character obeys a power-law. The governing equations are presented in dimensionless form. The reflection-transmission coefficients are obtained for the limit of the parameter , which corresponds to a wavelength shorter than the characteristic horizontal length of the harbor. The asymptotic formulas consider those cases when the geometry of the harbor can be variable in width and depth: linear or parabolic among other transitions or a combination of these geometries. For harbors with nonlinear transitions, the parabolic geometry is less reflective than the other cases. The reflection coefficient for linear transitions just presents an oscillatory behavior. We can infer that the deducted formulas provide as first approximation a practical reference to the analysis of wave reflection-transmission in harbors.

Author: Eric-Gustavo Bautista, Federico Méndez, and Oscar Bautista



Related documents