Experimental Verification of the Theory of Three Stratified Intemal Long Waves

Abstract

The theoretical formula of three stratified interfacial long waves are deduced and its validity is verified by the experiment. The three stratified interfacial long waves consist of two modes that are Mode I and Mode II. These waves velocity are expressed c_I and c_II in equation (1') respectively. The wave numbers of these waves are expressed k₁ and k₂ in equation (3). These stratified interfacial wave profiles of first and second interface are expressed ζ_I1, ζ_I2, ζ_II1 and ζ_II2 in equation (8) respectively. The water particle velocities of these waves in first, second and third stratified layers are expressed u_I1, u_I2, u_I3, u_II1, u_II2 and u_II3 in equation (9) respectively. These relations between the profiles and the velocities are shown in figure 2.