Date of Award

12-2019

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical and Civil Engineering

First Advisor

Ju Zhang

Second Advisor

Gerald Micklow

Third Advisor

Daniel Kirk

Fourth Advisor

Ashok Pandit

Abstract

In this work, we developed a numerical model for phase transition in shock-tube problem. This work focused on simulating shock-tube problem and the numerical framework is based on a two-phase flow model. Our simulation tool is an in-house FORTRAN multiphase compressible flow solver, RocSDT [31]. Specifically, this involves the Euler equations along with the Stiffened Gas Equation of State (EOS), an interface of liquid-gas type, and the effects of heat and mass transfer due to phase transition. This thesis described the implementation and incorporation of a phase transition model into a system of five partial differential equation model and the associated thermodynamic theory. The thermal and chemical source terms for phase transition modeling are handled via a sequence of relaxation processes that drive the mixture to the desired equilibrium conditions. In particular, a simple algebraic system of equations is used to solve for the equilbrium conditions. This algebraic relaxation technique along with our five-equation model are shown to be simple and effective.

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