Wave breaking and bubble formation associate energy dissipation and wave setup

Abstract

In this work, theoretical development of void fraction effect over wave energy dissipation and wave setup in a surf zone is made. The formulation incorporates simple energy dissipation model, energy balance equation, and momentum balance equation in air-water mixture fields. The important quantities, such as the energy flux, the radiation stress, the energy dissipation, and the wave setup, are computed and the role of the individual terms in the governing equations is discussed. Void fraction effect in the estimated energy flux in energy balance equation shows to be less dominating over the others. Finally, the void fraction effects for wave height and wave setup are calculated, which demonstrates a good agreement with the experimental results.