Thermodynamically consistent modelling and computational methods for multiphase flows

This thesis presents the research of my PhD, which is the study of two-phase flows by using the phase-field methods. The key point for this work is the thermodynamic con- sistency. We begin by introducing an extension of the Model H to study the two-phase flows with thermocapilliary effects, where we assume that the coefficient of the surface tension is temperature dependent, and the classical energy equation is coupled with the Model H. We then investigate numerically an established phase-field model (Quasi- incompressible NSCH model) for the two-phase flows with varible density. We design a numerical method where the energy law of the model is preserved at the discrete level. Fianlly we develop a new model to study the two-phase flows with thermocapil- liary effects where the model allows the two fluids to have different physical properties meanwhile maintaining the thermodynamic consistency. The pillbox argument is em- ployed to show that our model can reduce to the sharp-interface model where the jump conditions can be recovered.

Name dc:type.qualificationname

Doctor of Philosophy

Level dc:type.qualificationlevel

Doctoral Thesis

Grantor dc:publisher.institution

University of Dundee

Year dc:date.issued

2014

Author dc:creator

• Guo, Zhenlin

Advisor dc:contributor.advisor

• Lin, Ping

Language dc:language

eng

Identifier

oai:discovery.dundee.ac.uk:studenttheses/bb047b16-9af7-4ecb-ab51-0b5204d279d1

OAI identifier oai:identifier

oai:discovery.dundee.ac.uk:studenttheses/bb047b16-9af7-4ecb-ab51-0b5204d279d1