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Department of Mathematics

Lattice-Boltzmann modelling of spatial variation in surface tension and wetting effects, 2010

Sigvat Stensholt

Title of thesis: Lattice-Boltzmann modelling of spatial variation in surface tension and wetting effects

Name of  PhD student : Sigvat Stensholt

Advisors: Inga Berre

 

 

Short description of project:

 

 

In this tesis we will study the effects spatial variations in capillary effects have on fluid flow. This requires knowledge of the underlying fluid flow equations, and some sort of numerical method to handle numerical simulations. Chapter 1 in the thesis covers classical fluid flow. A particular emphasis is placed on the capillary effects of surface tension, and wetting. The chapter also covers theory on surfactants and their applications. Chapter 2 covers the foundations of the lattice Boltzmann method which I used throughout the project. Chapter 3 covers how the lattice Boltzmann method deals with more complex flow. This includes multiphase flow and flow with solute components. Variations in surface tension are also covered. Chapter 4 illustrates some of the properties found in the multiphase lattice Boltzmann methods used in this thesis. Chapter 5 is a summary of the work conducted. A short description of the papers included in the second part of this thesis is provided. The chapter also considers further extensions and possible improvements to the work in this thesis. 

Link to thesis at BORA-UiB: Link