Analytical Model for Tidal Waves Dynamics Predictions in the Convergent Estuaries Involving Bottom Friction

Abstract

The analytical solution of the one-dimensional non-linear partial differential equation for tidal wave propagation in the estuary can be determined using the perturbation method. The solution is based on the St Venantequation which consists of the continuity and momentum equation. This research was conducted at the mouth of the KarangMumus-Mahakam river which is assumed to have no bottom slope. A cross-differentiation between conservation of mass and conservation of momentum equations results in the hyperbolic differential equation. The solution is only limited to the second-order and the solution can also be reviewed through the completion of graphic visualization where the solution provides a decrease in deviation from the estuary to the end of the estuary. The deviation of the water level from the average water level gives the potential for brackish water to be utilized to develop aquaculture activities.