Physical and Mathematical Modeling of the Interaction of Water Droplets and High-Speed Gas Flow

A V Minko ,О В Гуськов ,K Yu Arefyev ,A S Saveliev

doi:10.3390/app112311146

Abstract

Present work is devoted to physical and mathematical modeling of the secondary disintegration of a liquid jet and gas-dynamic breakup of droplets in high-speed air flows. In this work the analysis of the experiments of water droplet breakup in the supersonic flow with Mach numbers up to M = 3 was carried out. The influence of shock wave presence in the flow on the intensity of droplets gas-dynamic breakup is shown. A developed empirical model is presented. It allows to predict the distribution of droplet diameters and velocities depending on the gas flow conditions, as well as the physical properties of the liquid. The effect of the Weber and Reynolds numbers on the rate of droplets gas-dynamic breakup at various Mach numbers is shown. The obtained data can be useful in the development of mathematical models for the numerical simulation of two-phase flows in the combined Lagrange-Euler formulation.

Highlights

A large number of studies devoted to the investigation and modeling of two-phase flows are being carried out in the world at the present time
It should be noted that the presence of an oblique shock wave at M = 2 leads to the increase in the droplet velocity in region 2, whereas at other Mach numbers it leads to its decrease
It should be noted that the presence of an oblique shock wave at M = 2 leads to the increase in6 otfh1e9 droplet velocity in region 2, whereas at other Mach numbers it leads to its decrease

Summary

Introduction

A large number of studies devoted to the investigation and modeling of two-phase flows are being carried out in the world at the present time. The practical solution of the two-phase media motion problems with the gas-dynamic droplets breakup requires the development of new mathematical models This is vital for the cases of high-speed flows with a significant mass fraction of nonequilibrium liquid droplets and the presence of gas-dynamic features in the flow, such as transverse velocity pulsations [28] for subsonic modes or shock waves [29] for supersonic flows. While developing the model both new and previously published by the authors of the article [18,29] empirical data were used, as well as original computational algorithms for determining the unsteady dependences of gas-dynamic breakup intensity, relative velocity, temperature and other parameters necessary for the analysis of experimental results

Experimental Data

Description of Data Processing Methods

Findings

Conclusions