Finite-strength shock propagation for alternative equations of state

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.

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

2011

Author dc:creator

• Hutchens, Gregory Joe

Contributors dc:contributor

• Axford, Roy A.

• Engineering, Nuclear
• Physics, Fluid and Plasma

Statement dc:rights

• Copyright 1990 Hutchens, Gregory Joe

Language dc:language

eng

Identifier

AAI9114274
(UMI)AAI9114274

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19325