Finite-strength shock propagation for alternative equations of state
Hutchens, Gregory Joe
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https://hdl.handle.net/2142/19325
Description
Title
Finite-strength shock propagation for alternative equations of state
Author(s)
Hutchens, Gregory Joe
Issue Date
1990
Doctoral Committee Chair(s)
Axford, Roy A.
Department of Study
Nuclear, Plasma, and Radiological Engineering
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Nuclear
Physics, Fluid and Plasma
Language
eng
Abstract
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.
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