Bifurcation Analysis of Thermoacoustic Instability in a Horizontal Rijke Tube

Show simple item record Subramanian, Priya Mariappan, Sathesh Sujith, RI Wahi, Pankaj 2022-07-26T02:21:32Z 2022-07-26T02:21:32Z 2010-12-01
dc.identifier.citation (2010). International Journal of Spray and Combustion Dynamics, 2(4), 325-355.
dc.identifier.issn 1756-8277
dc.description.abstract <jats:p> A bifurcation analysis of the dynamical behavior of a horizontal Rijke tube model is performed in this paper. The method of numerical continuation is used to obtain the bifurcation plots, including the amplitude of the unstable limit cycles. Bifurcation plots for the variation of nondimensional heater power, damping coefficient and the heater location are obtained for different values of time lag in the system. Subcritical bifurcation was observed for variation of parameters and regions of global stability, global instability and bistability are characterized. Linear and nonlinear stability boundaries are obtained for the simultaneous variation of two parameters of the system. The validity of the small time lag assumption in the calculation of linear stability boundary has been shown to fail at typical values of time lag of system. Accurate calculation of the linear stability boundary in systems with explicit time delay models, must therefore, not assume a small time lag assumption. Interesting dynamical behavior such as co-existing multiple attractors, quasiperiodic behavior and period doubling route to chaos have been observed in the analysis of the model. Comparison of the linear stability boundaries and bifurcation behavior from this reduced order model are shown to display trends similar to experimental data. </jats:p>
dc.language en
dc.publisher SAGE Publications
dc.relation.ispartofseries International Journal of Spray and Combustion Dynamics
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.
dc.subject Science & Technology
dc.subject Physical Sciences
dc.subject Technology
dc.subject Thermodynamics
dc.subject Engineering, Mechanical
dc.subject Engineering
dc.subject STABILITY
dc.subject DYNAMICS
dc.subject MODEL
dc.title Bifurcation Analysis of Thermoacoustic Instability in a Horizontal Rijke Tube
dc.type Journal Article
dc.identifier.doi 10.1260/1756-8277.2.4.325
pubs.issue 4
pubs.begin-page 325
pubs.volume 2 2022-06-21T04:58:01Z
dc.rights.holder Copyright: The author en
pubs.end-page 355
pubs.publication-status Published
dc.rights.accessrights en
pubs.subtype Article
pubs.subtype Journal
pubs.elements-id 870315 Science Mathematics
dc.identifier.eissn 1756-8285
pubs.record-created-at-source-date 2022-06-21 2010-12

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