Properties of a model for the turbulent mixing of the boundary between accelerated liquids differing in density

A complicated model for turbulent mixing of the interface between accelerated liquids differing in density is considered here that has three parameters, and the role of a newly introduced parameter is examined. Solutions are constructed for variable acceleration given by power, step, and sinusoidal laws. It is found that the width of the mixing region can vary by up to a factor 2 in accordance with the constant in the model that characterizes the role of the inertial mechanism. A solution is obtained for the mixing of a thin layer, and the problem is referred to an integral for the case of finite thickness.