Author(s): Robert C. Y. Koh
Abstract: The internal hydrodynamic motion induced in a linearly tratified fluid by an arbitrary two dimensional disturbance were determined and closed form integral expressions for the solution are presented. Two fundamental solutions for the motion subsequent to an intial disturbance were obtained. These correspond to the hydrodynamic motions resulting from two particular forms of the initial disturbance: an initial displacement of the water mass from the position of static equilibrium (distortion of isopycnal lines); and an initial velocity distribution throughout the water mass. The complete solution resulting from an arbitrary disturbance is a superposition of the two basic solutions with appropriate forcing functions. The solutions are compared with available experiments and numerical results.