SOLUCIÓN ANALÍTICA DE LA DEFORMACIÓN DE ONDAS LARGAS QUE SE PROPAGAN EN UN CANAL CON ANCHO CONSTANTE Y FONDO VARIABLE.

Abstract

In this work, we treat theoretically the hydrodynamic propagation of water waves propagating on an inclined face. We show a linear dimensionless model to predict the motion of the long ocean waves over the selected geometry. In order to predict this analysis, the mass and momentum balance equations based on the shallow water waves theory, were nondimensionalized and solved using the WKB (Wentzel, Kramers and Brillouin) singular perturbation technique. The mentioned governing equations contain three dimensionless parameters: a kinematical parameter κ which denotes the ratio of the potential head due to gravity, to the kinetic head of the ocean waves along the longitudinal axis of the channel. Meanwhile, ε is a dimensionless geometrical parameter that represents a characteristic depth ratio of the inclined face and m is the face slope. Using matching conditions, simple expressions for the reflection and transmission coefficients are obtained.