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oai:www.ideals.illinois.edu:2142/85951 2023-07-11 col_2142_5131 col_2142_14837 com_2142_5130 com_2142_14836 com_2142_234

Axford, Roy A. DeMers, Louis Joseph 2015-09-28T14:51:30Z 2015-09-28T14:51:30Z 10000-01-01 2000 2000 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. Made available in DSpace on 2015-09-28T14:51:30Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9955605.pdf: 7048537 bytes, checksum: aa4faf92c5c11b2c576f80ff03c1a5e0 (MD5) Previous issue date: 2000 Embargo set by: Seth Robbins for item 87232 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 213 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. http://hdl.handle.net/2142/85951 (MiAaPQ)AAI9955605 eng Applied Mechanics Applications of Lie Groups in Turbulence Modeling text Nuclear Engineering Nuclear Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.