Persistent Link:
http://hdl.handle.net/10150/145419
Title:
Stability and Receptivity of Idealized Detonations
Author:
Chiquete, Carlos
Issue Date:
2011
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
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.
Type:
Electronic Dissertation; text
Keywords:
detonations; evolution equation; linear stability; porous walls; receptivity; spectral methods
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Applied Mathematics
Degree Grantor:
University of Arizona
Advisor:
Tumin, Anatoli

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleStability and Receptivity of Idealized Detonationsen_US
dc.creatorChiquete, Carlosen_US
dc.contributor.authorChiquete, Carlosen_US
dc.date.issued2011-
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe 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.en_US
dc.typeElectronic Dissertationen_US
dc.typetexten_US
dc.subjectdetonationsen_US
dc.subjectevolution equationen_US
dc.subjectlinear stabilityen_US
dc.subjectporous wallsen_US
dc.subjectreceptivityen_US
dc.subjectspectral methodsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorTumin, Anatolien_US
dc.contributor.committeememberTabor, Michaelen_US
dc.contributor.committeememberBrio, Moyseyen_US
dc.contributor.committeememberKerschen, Edwarden_US
dc.identifier.proquest11650-
dc.identifier.oclc752261496-
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