Analytical derivation and numerical validation of novel scaling laws for air-water flows

Abstract

A MATLAB application to find different configurations of the novel scaling laws for air-water flows. This app allows for the generation of different configurations by setting assumptions for air compressibility. By knowing the laboratory conditions, e.g. the properties of the fluid, the app calculates the conditions under which air-water flows are self-similar, i.e. the behaviour of the scaled laboratory model is invariant with respect to its prototype. The self-similar conditions are calculated by applying the Lie-group transformation to the governing equations of air-water flows, i.e. including the surface tension and the air compressibility effects.