Numerical Study of the Effect of Water Droplets on Energy Dissipation of Pressure Wave Propagation in Atmosphere

This paper presents a detailed numerical analysis of pressure wave propagation in gas media containing water droplets. Particularly, we are interested in how energy of propagating pressure waves is dissipated in atmosphere which is dispersed with water droplets, which can then be used to study interaction of air pressure waves and ocean waves with the presence of water droplets. The proposed model estimates the wave evolution under different conditions of interphase interactions. Conservation equations describing the propagation and structure of finite amplitude perturbations in such a medium, with correction for heat transfer and momentum exchange between the phases, have been employed to obtain the wave profile during the pressure wave propagation. The model is capable of describing the evolution of waves at any ratio between characteristic times of the internal processes and the characteristic period of the pressure wave. A numerical scheme based on the finite-difference and Riemann sum discretization is developed to simulate the pressure wave profile. The solution can be used to determine the profile and energy dissipation of a pressure wave propagating through the gas medium with suspended liquid droplets or solid particles. Simulation results are presented and discussed.