Stability and receptivity of idealized detonations |
Posted on:2012-05-20 | Degree:Ph.D | Type:Dissertation |
University:The University of Arizona | Candidate:Chiquete, Carlos | Full Text:PDF |
GTID:1450390011957293 | Subject:Applied Mathematics |
Abstract/Summary: | |
The linear receptivity and stability of plane idealized detonation with one-step Arrhenius type reaction kinetics is explored in the case of three-dimensional perturbations to a Zel'dovich-von Neumann-Doering base flow. This is explored in both overdriven and explicitly Chapman-Jouguet detonation. Additionally, the use of a multi-domain spectral collocation method for solving the conventional stability problem is explored within the context of normal-mode detonation. An extension of the stability analysis to confined detonations in a slightly porous walled tube is also carried out. Finally, an asymptotic analysis of a detonation with two-step reaction kinetics in the limit of large activation energy and for general overdrive and reaction order is performed yielding a nonlinear evolution equation for perturbations that produce stable limit cycle solutions. |
Keywords/Search Tags: | Stability, Detonation, Reaction |
|
Related items |