Burger's Equation and Shock Waves Propagating within Liquid-Gas Mixtures

摘要

In this paper the time evolution of weak shock waves propagating within a fluid-gas mixture is considered. The model uses continuum classical theory to describe the shock waves and allows for the relative motion of the gas bubbles and liquid. It is shown that for a dissipative system the waves are governed by Burger's Equation. This corresponds to the far-field solution for waves of small amplitude and long wavelength. The model also provides a non-linear description of how the compression wave forms and approaches a steady state.