Applications of Lie Groups in Turbulence Modeling

Group analysis is applied to the general two-dimensional k-epsilon turbulence model. Symmetry algebras for the k-epsilon turbulence model have been calculated by Khor'kova. and Verbovetsky. This systematic approach is applied to the specific flow problem of turbulent submerged free plane jets. Similarity solutions obtained through Lie group analysis of the zero-equation turbulence model are equivalent to those obtained through traditional mathematical techniques. Lie groups are then applied to the k-epsilon turbulence model's PDEs for submerged free plane jets. A numerical simulation is performed on the subsequent system of ODEs obtained from this model. The results for the turbulent properties obtained from the numerical computation are in good agreement with the similarity profiles obtained from the zero-equation model. These properties include the axial and transverse velocities, stream function, vorticity and transverse eddy viscosity.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Nuclear Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• DeMers, Louis Joseph

Contributors dc:contributor

• Axford, Roy A.

• Applied Mechanics

Language dc:language

eng

Identifier

(MiAaPQ)AAI9955605

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/85951