Analysis of interfacial forces on the physics of two-phase flow and hyperbolicity of the two-fluid model

The scope of this Master Thesis is the two-fluid model. This study aims at analysing their ill-posedness, showing how it is related to non-hyperbolicity and giving a measurement that I call the numerical hyperbolicity. As a cure to this important issue, we will propose a combination of physical and mathematical solutions. The physical forces that we will focus on are two interfacial forces: the interfacial pressure and the virtual mass. We will quantify the minimum correction that is necessary to ensure hyperbolicity of the two-fluid model. We will then compare the two forces and combine them into an aggregated correction. This correction is proposed for use as a criteria in the next generation of nuclear reactor thermal-hydraulics codes.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Nuclear, Plasma, Radiolgc Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2013

Author dc:creator

• Talpaert, Arthur

Contributors dc:contributor

• Kozlowski, Tomasz

• interfacial forces
• two-phase flow
• hyperbolicity
• two-fluid model

Statement dc:rights

• Copyright 2013 by Arthur Constantin Nicolas Talpaert. All rights reserved.

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/44117

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/44117