Experimental investigation of non-normality of thermoacoustic interaction in an electrically heated Rijke tube

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Title: Experimental investigation of non-normality of thermoacoustic interaction in an electrically heated Rijke tube
Author(s): Mariappan, S
Sujith, RI
Schmid, PJ
Item Type: Journal Article
Abstract: An experimental investigation of the non-normal nature of thermoacoustic interactions in an electrically heated horizontal Rijke tube is performed. Since non-normality and the associated transient growth are linear phenomena, the experiments have to be confined to the linear regime. The bifurcation diagram for the subcritical Hopf bifurcation into a limit cycle behavior has been determined, after which the amplitude levels, for which the system acts linearly, have been identified for different power inputs to the heater. There are two main objectives for this experimental investigation. The first one deals with the extraction of the linear eigenmodes associated with the acoustic pressure from experimental data. This is accomplished by the Dynamic Mode Decomposition (DMD) technique applied in the linear regime. The non-orthogonality between the eigenmodes is determined for various values of heater power. The second objective is to identify evidence of transient perturbation growth in the system. The total acoustic energy in the duct has been monitored as the thermoacoustic system evolves from its initial condition. Transient growth, on the order of previous theoretical studies, has been found, and its parameteric dependence on amplitude ratio and phase angle of the initial eigenmode components has been determined. This study represents the first experimental confirmation of non-normality in thermoacoustic systems.
Publication Date: 1-Dec-2015
Date of Acceptance: 24-Dec-2014
URI: http://hdl.handle.net/10044/1/38858
DOI: https://dx.doi.org/10.1260/1756-8277.7.4.315
ISSN: 1756-8285
Publisher: SAGE
Start Page: 315
End Page: 352
Journal / Book Title: International Journal of Spray and Combustion Dynamics
Volume: 7
Issue: 4
Copyright Statement: © Multi-Science Publishing
Keywords: Science & Technology
Physical Sciences
Technology
Thermodynamics
Engineering, Mechanical
Engineering
AXIAL TEMPERATURE-GRADIENT
DISTURBANCE GROWTH
BOUNDARY-LAYER
INSTABILITY
TRANSITION
FLOW
TURBULENCE
STABILITY
SYSTEM
FLAMES
Science & Technology
Physical Sciences
Technology
Thermodynamics
Engineering, Mechanical
Engineering
AXIAL TEMPERATURE-GRADIENT
DISTURBANCE GROWTH
BOUNDARY-LAYER
INSTABILITY
TRANSITION
FLOW
TURBULENCE
STABILITY
SYSTEM
FLAMES
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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