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oai:www.ideals.illinois.edu:2142/19325 2023-07-10 col_2142_5131 col_2142_14837 com_2142_5130 com_2142_14836 com_2142_234

Axford, Roy A. Hutchens, Gregory Joe 2011-05-07T12:03:57Z 2011-05-07T12:03:57Z 10000-01-01 1990 A systematic method of making calculations for finite-strength, i.e., nonself-similar, shock waves is developed. Using concepts of Lie groups, the invariance properties of the spherically symmetric equations of gasdynamics are determined and used to construct invariant equations of state. The invariant functions of this group are next introduced as the new dependent and independent variables along with an additional independent variable, the inverse square of the Mach number. The new dependent variables are then expanded in a power-series of the inverse square of the Mach number. The zero-order terms correspond to the self-similar results with the higher-order terms being perturbative corrections accounting for nonself-similar effects. Finally, example calculations are made for several different equations of state. Made available in DSpace on 2011-05-07T12:03:57Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9114274.pdf: 3512757 bytes, checksum: 4890a12d81af6785864a3c8e0e09df5d (MD5) Previous issue date: 1990 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:36:11Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:14:32-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9114274 (UMI)AAI9114274 http://hdl.handle.net/2142/19325 eng Copyright 1990 Hutchens, Gregory Joe Engineering, Nuclear Physics, Fluid and Plasma Finite-strength shock propagation for alternative equations of state text Nuclear, Plasma, and Radiological Engineering Nuclear Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.