To the problem of mathematical and physical modeling of the turbulent jets of mutually immiscible liquids like the oil and water

TL;DR

This paper discusses a novel approach to modeling turbulent immiscible liquid jets, like oil and water, using phase-specific averaging of Navier-Stokes equations and introduces a phase indicator function for better flow recognition.

Contribution

It applies Nakorchevski's phase-based averaging method to multiphase turbulent flows, providing a new perspective and tools for analyzing immiscible liquid jets.

Findings

Successful application of the method to multiphase flow problems

Development of a micro sensor for phase detection

Advantages over traditional spatial averaging methods

Abstract

Peculiarities of the turbulent two phase and multiphase flows of the mutually immiscible liquids and averaged differential equations for their modeling are considered based on the approach, which was first developed and proposed by Prof. A.I. Nakorchevski as an alternative to a number of the well known averaged multiphase dynamics equations. The main difference of the new method was in an averaging of the Navier Stokes equations by phases and components in time instead of the widely spread spatial averaging in multiphase mechanics. What was more, introduction of the so called function indicator of the phases in a flow allowed recognizing the phases in their movement in a multiphase mixture, both theoretically and experimentally. For experimental study the special micro sensor was invented and created, which was successfully applied. In this paper, the method of Nakorchevski is described in application to some multiphase tasks, and a discussion is presented as concern to advantages of the method for study of turbulent two phase flows of water oil immiscible mixture, as well as many other similar mixtures, where it is important to know the peculiarities of the phases movement and their mixing in a multiphase flow.