2026-09-20T03:30:41Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/85919 2023-07-11 col_2142_5131 col_2142_14837 com_2142_5130 com_2142_14836 com_2142_234

Rizwan-Uddin Singh, Suneet 2015-09-28T14:51:09Z 2015-09-28T14:51:09Z 10000-01-01 2008 2008 The PMNIM is then used to study the transition to turbulence in Arnold-Beltrami-Childress (ABC) flows. These flows display the interesting phenomenon of heteroclinic cycles. The results are obtained for two wavenumbers: k = 1 (also studied earlier by other researchers) and k = 2, respectively. The results for k = 1 are compared with those obtained using the pseudo spectral method. The comparison shows good agreement and also shows that results obtained with similar grid sizes and time steps match very well with those obtained using pseudo spectral method. New results are obtained for k = 2, and the heteroclinic cycles observed in this flow are discussed and contrasted with those obtained in the flow with k = 1. The results show that the flow becomes unstable for the k = 2 case at smaller Reynolds number than that for k = 1. The flow also shows some very interesting phenomena such as simultaneous existence of the two types of heteroclinic cycles. Made available in DSpace on 2015-09-28T14:51:09Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3314894.pdf: 1821790 bytes, checksum: 0ae9d24d5aa58fbb4926c5f20327b816 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 87200 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 158 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/85919 (MiAaPQ)AAI3314894 eng Engineering, Nuclear Simulation of Turbulent Flows Using Nodal Integral Method text Nuclear Engineering Nuclear Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.