ANALYTICAL SOLUTION FOR A LONG WAVES PROPAGATION IN TWO-LAYER FLUID OVER A SUBMERGED HUMP

Abstract

The study of internal waves has become important because they are associated with the energy
transfer mechanism across continental shelf edges. In addition, they also can cause strong localized
departures from the surrounding ocean conditions, resulting in increased shear stresses on underwater
structures and large variations in acoustic transmission properties of the ocean. Therefore, the internal waves
cause problems in many areas such as offshore oil recovery, acoustic propagation in the ocean, and deep
water outfall. Hence, this paper is conducted to study the two-layer long-waves propagation through
submerged humps using analytical solution. Equation involved in this study are mild slope equation and the
methods involve are separation of variables and a series solution. In this study the effect of the geometry of
the hump when water waves propagating through the humps are also studied. Besides, the density ratio also
give significance effect to the surface wave elevation. An analytical solutions obtained in this study is useful
in reviewing applications and condition of the wave amplitude on submerged hump.