Rossiter’s formula: A simple spectral model for a complex amplitude modulation process?

作者: Nathalie Delprat

DOI: 10.1063/1.2219767

关键词: Modulation (music)Amplitude distortionNonlinear distortionAmplitude modulationMathematical analysisNonlinear systemPhysicsSpectral methodOpticsSignal processingMode coupling

摘要: Spectral analysis of pressure signals recorded for high subsonic compressible flows past open cavities generally reveals frequency components strong magnitudes (Rossiter modes). These are not multiples each other in the case shallow cavities. This nonharmonic property is examined through a nonlinear modeling spectral distributions. For that purpose, signal processing interpretation Rossiter formula developed, which combines distortion and amplitude modulation. The consequences this new on prediction frequencies, mode identification, interactions discussed as well underlying physical mechanisms.

参考文章(15)
Virendra Sarohia, Experimental investigation of oscillations in flows over shallow cavities AIAA Journal. ,vol. 15, pp. 984- 991 ,(1976) , 10.2514/3.60739
C. Knisely, D. Rockwell, Self-sustained low-frequency components in an impinging shear layer Journal of Fluid Mechanics. ,vol. 116, pp. 157- 186 ,(1982) , 10.1017/S002211208200041X
H.H. Heller, D.G. Holmes, E.E. Covert, Flow-Induced Pressure Oscillations in Shallow Cavities Journal of Sound and Vibration. ,vol. 18, pp. 545- 553 ,(1971) , 10.1016/0022-460X(71)90105-2
Michael A. Kegerise, Eric F. Spina, Sanjay Garg, Louis N. Cattafesta, Mode-switching and nonlinear effects in compressible flow over a cavity Physics of Fluids. ,vol. 16, pp. 678- 687 ,(2004) , 10.1063/1.1643736
Lionel Larchevêque, Pierre Sagaut, Ivan Mary, Odile Labbé, Pierre Comte, Large-eddy simulation of a compressible flow past a deep cavity Physics of Fluids. ,vol. 15, pp. 193- 210 ,(2003) , 10.1063/1.1522379
D. Rockwell, E. Naudascher, Review—Self-Sustaining Oscillations of Flow Past Cavities Journal of Fluids Engineering-transactions of The Asme. ,vol. 100, pp. 152- 165 ,(1978) , 10.1115/1.3448624
Ruhi Kaykayoglu, Donald Rockwell, Unstable jet-edge interaction. Part 2. Multiple-frequency pressure fields Journal of Fluid Mechanics. ,vol. 169, pp. 151- 172 ,(1986) , 10.1017/S0022112086000575
J.-C. Lin, D. Rockwell, Organized Oscillations of Initially-Turbulent Flow Past a Cavity AIAA Journal. ,vol. 39, pp. 1139- 1151 ,(2001) , 10.2514/2.1427
Christopher K. W. Tam, Patricia J. W. Block, On the tones and pressure oscillations induced by flow over rectangular cavities Journal of Fluid Mechanics. ,vol. 89, pp. 373- 399 ,(1978) , 10.1017/S0022112078002657