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

Talpaert, Arthur

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https://hdl.handle.net/2142/44117 Copy

Description

Title

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

Author(s)

Talpaert, Arthur

Issue Date

2013-05-24T21:51:12Z

Director of Research (if dissertation) or Advisor (if thesis)

Kozlowski, Tomasz

Department of Study

Nuclear, Plasma, & Rad Engr

Discipline

Nuclear, Plasma, Radiolgc Engr

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

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

Abstract

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.

Graduation Semester

2013-05

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

Copyright and License Information

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

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