Lattice Boltzmann Methods for Diffuse and Mobile Interfaces

In this work, various systematic approaches are employed for deriving the truncation error of LB models which approximate Navier-Stokes flows. Improved LB models are formulated and validated through point-by-point comparison with limiting benchmark flows. Finally, the modified LB models are used to study a complex swirling flow in the strongly non-linear regime and to elucidate the physics of vapor-liquid flows near the critical point. The first case pertains to hydrodynamic instabilities occurring in the canonical Taylor-Couette-Poiseuille problem, and the numerical study serves to demonstrate the existence of a Stationary Helical Vortex mode. In the second flow, the LB simulations allow the study of the effect of interfacial mass transfer on the hydrodynamic stability of annular flow of near-critical CO2 in a microchannel. The LB results are corroborated by independent experimental data which serve to bolster the validity of the numerical schemes developed.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Holdych, David James

Contributors dc:contributor

• Georgiadis, John G.
• Buckius, Richard O.
• David R. Noble

• Physics, Fluid and Plasma

Language dc:language

eng

Identifier

(MiAaPQ)AAI3086082

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83790