2008
DOI: 10.1017/s0022112007009573
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Acoustic and disturbance energy analysis of a flow with heat communication

Abstract: This paper presents a comparative analysis of the budgets of acoustic energy and Myers' second-order ‘disturbance energy’ in a simple inhomogeneous flow with heat communication. The flow considered is non-diffusive and one-dimensional, with excitation by downstream-travelling acoustic and entropic disturbances. Two forms of heat communication are examined: a case with only steady heat communication and another in which unsteady heat addition cancels the generation of entropy disturbances throughout the inhomog… Show more

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Cited by 52 publications
(56 citation statements)
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“…This causes reflection of the incident acoustic wave [40] which in turn intensifies the deviation from the theoretical assumptions. Most importantly, it has been shown that such reflection is more significant at low frequencies [9,10]. Therefore, particularly at low frequencies, it sounds plausible to expect the flow field on the flame surface to be more complicated than that assumed by the theory.…”
Section: Comparison With the Constant Phase Speed Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…This causes reflection of the incident acoustic wave [40] which in turn intensifies the deviation from the theoretical assumptions. Most importantly, it has been shown that such reflection is more significant at low frequencies [9,10]. Therefore, particularly at low frequencies, it sounds plausible to expect the flow field on the flame surface to be more complicated than that assumed by the theory.…”
Section: Comparison With the Constant Phase Speed Theorymentioning
confidence: 99%
“…Further, the essential physics of thermoacoustic instabilities are not entirely understood [6,7]. This is mostly due to the complexities involved in the interactions between premixed flames and sound waves [9,10] and, to some extent, the effects of system boundaries [11,12].…”
Section: Introductionmentioning
confidence: 99%
“…Decomposition of the thermodynamic properties into steady and perturbation components and a subsequent linearization of Gibbs and ideal gas relations results in the following equations [10,32] …”
Section: Problem Configuration and Boundary Conditionsmentioning
confidence: 99%
“…Further, most recent studies have shown that entropy waves do not necessarily propagate as passive scalars and can affect the base flow [31]. It is, therefore, unclear if the conventional onedimensional, passive scalar treatment is always representative of the real entropy waves [32,33]. Besides, currently there is limited understanding of the decay of amplitude or dissipation of entropy waves as they travel from the reactive region to the exit nozzle of the combustor.…”
Section: Introductionmentioning
confidence: 99%
“…Transfer of heat can also modify acoustic and entropic waves. Further, it can affect the velocity field in compressible flows and therefore leaves an indirect influence on the acoustic waves [13,14]. It follows that these should be, therefore, involved in a realistic model of noise generation in nozzles.…”
Section: Introductionmentioning
confidence: 99%