Numerical simulation of a heterogeneous liquid in a 2-D rectangular container

Abstract

We study the sloshing of a heterogeneous liquid in a 2-D rectangular container in the presence of a horizontal dynamic excitation. The governing equations of the motion of the liquid are presented in the case of a liquid of low heterogeneity. The study of these equations shows the existence of a small zone of instability. A two-dimensional numerical method is carried out to simulate the mathematical model. The effect of liquid heterogeneity on the changing aspects of the free surface was studied. As shown in the results, the free surface profiles increase by increasing the heterogeneity parameter. The analysis of sloshing in the stable zone shows significant effects on the evolution of the free surface of the liquid, these effects depend on the coefficient of heterogeneity and frequency of excitation.