Detonation stability in the chain-branching regime assuming a small initiation rate

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dc.contributor.advisorBauwens, Luc
dc.contributor.authorLopez-Aoyagi, Monica Megumi
dc.date.accessioned2017-12-18T22:27:41Z
dc.date.available2017-12-18T22:27:41Z
dc.date.issued2012
dc.descriptionBibliography: p. 97-107en
dc.description.abstractHydrogen chemistry is characterized by a specific chain-branching chemical kinetic mech­anism leading to an S-shaped chain-branching explosion diagram, and characterized by an induction length much longer than the main reaction zone controlled by chain-branching. A simple three step kinetic scheme helps understanding how chain-branching works, and how it may affect detonation stability. A stability analysis of the steady, one dimensional Zel'dovich-von Neumann-Doering (ZND) detonation wave is performed for the case where the post-shock state lies inside the chain-branching explosion region, assum­ing that the initiation rate is small, which is especially accurate in the case of hydrogen. Instability of the planar wave is thought to be related to the cellular structure adopted by 11 early all detonation waves observed in experiments. Linear stability entails identifying whether the growth rate of a small perturbation is positive. The perturbation problem depends upon the steady, planar ZND reference solution, the stability of which is being investigated. Thus the coefficients in the linear perturbation problem depend upon the longitudinal coordinate, but not upon time nor the transverse coordinate. Hence the solution can be expressed in Fourier space in time and in relation to the transverse co­ordinate. Because the ZND solution is obtained numerically, the perturbation problem also requires a numerical solution. In relation to previous stability analysis, the main challenge in the current study was in formulating the proper boundary conditions, under the assumption of slow initiation rate. Results consist of the growth rates and frequencies of the dominant eigenmodes. Although the formulation handles transverse modes with no additional difficulty, results shown only consider longitudinal modes.
dc.format.extentix, 107 leaves : ill. ; 30 cm.en
dc.identifier.citationLopez-Aoyagi, M. M. (2012). Detonation stability in the chain-branching regime assuming a small initiation rate (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/4560en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/4560
dc.identifier.urihttp://hdl.handle.net/1880/105561
dc.language.isoeng
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.titleDetonation stability in the chain-branching regime assuming a small initiation rate
dc.typemaster thesis
thesis.degree.disciplineMechanical and Manufacturing Engineering
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
ucalgary.thesis.accessionTheses Collection 58.002:Box 2074 627942918
ucalgary.thesis.notesUARCen
ucalgary.thesis.uarcreleaseyen
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