Initial-Value Problem for Small Perturbations in an Idealized Detonation in a Circular Pipe

Persistent Link:
http://hdl.handle.net/10150/194709
Title:
Initial-Value Problem for Small Perturbations in an Idealized Detonation in a Circular Pipe
Author:
Shalaev, Ivan
Issue Date:
2008
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 thesis is devoted to the investigation of the initial-value problem for linearized Euler equations utilizing an idealized one-reaction detonation model in the case of three-dimensional perturbations in a circular pipe.The problem is solved using the Laplace transform in time, Fourier series in the azimuthal angle, and expansion into Bessel's functions of the radial variable.For each radial and azimuthal mode, the inverse Laplace transform can be presented as an expansion of the solution into the normal modes of discrete and continuous spectra. The dispersion relation for the discrete spectrum requires solving the homogeneous ordinary differential equations for the adjoint system and evaluation of an integral through the reaction zone.The solution of the initial-value problem gives a convenient tool for analysis of the flow receptivity to various types of perturbations in the reaction zone and in the quiescent gas.
Type:
text; Electronic Dissertation
Keywords:
detonation; initial-value problem; perturbation theory; shock wave
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Aerospace Engineering; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Tumin, Anatoli
Committee Chair:
Tumin, Anatoli

Full metadata record

DC FieldValue Language
dc.language.isoENen_US
dc.titleInitial-Value Problem for Small Perturbations in an Idealized Detonation in a Circular Pipeen_US
dc.creatorShalaev, Ivanen_US
dc.contributor.authorShalaev, Ivanen_US
dc.date.issued2008en_US
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 thesis is devoted to the investigation of the initial-value problem for linearized Euler equations utilizing an idealized one-reaction detonation model in the case of three-dimensional perturbations in a circular pipe.The problem is solved using the Laplace transform in time, Fourier series in the azimuthal angle, and expansion into Bessel's functions of the radial variable.For each radial and azimuthal mode, the inverse Laplace transform can be presented as an expansion of the solution into the normal modes of discrete and continuous spectra. The dispersion relation for the discrete spectrum requires solving the homogeneous ordinary differential equations for the adjoint system and evaluation of an integral through the reaction zone.The solution of the initial-value problem gives a convenient tool for analysis of the flow receptivity to various types of perturbations in the reaction zone and in the quiescent gas.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectdetonationen_US
dc.subjectinitial-value problemen_US
dc.subjectperturbation theoryen_US
dc.subjectshock waveen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineAerospace Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorTumin, Anatolien_US
dc.contributor.chairTumin, Anatolien_US
dc.contributor.committeememberBalsa, Thomas F.en_US
dc.contributor.committeememberBrio, Moyseyen_US
dc.contributor.committeememberFasel, Hermann F.en_US
dc.identifier.proquest10106en_US
dc.identifier.oclc659750639en_US
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