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Research Papers

Resonant Gas Oscillations in a Linear Area Variation Cavity: Rectangular Versus Circular Cross Section

[+] Author and Article Information
Sonu K. Thomas

Department of Aerospace Engineering,
Indian Institute of Technology Madras,
Chennai 600036, India
e-mail: thomas.sonu91@gmail.com

T. M. Muruganandam

Associate Professor
Department of Aerospace Engineering,
Indian Institute of Technology Madras,
Chennai 600036, India
e-mail: murgi@ae.iitm.ac.in

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 3, 2015; final manuscript received July 3, 2015; published online October 20, 2015. Assoc. Editor: Theodore Farabee.

J. Vib. Acoust 138(1), 011006 (Oct 20, 2015) (5 pages) Paper No: VIB-15-1070; doi: 10.1115/1.4031521 History: Received March 03, 2015; Revised July 03, 2015

Resonant gas oscillations in a linear area variation closed cavity are investigated, for two duct cross sections: rectangular and circular. The resonance frequencies were similar for both the ducts. Increased drive amplitude produced higher distortions in the waveform. It was found that both resonators exhibited commensurate behavior. This is opposed to noncommensurate behavior observed in nonuniform circular cross section resonators. The rectangular section duct had higher energy than circular section duct, in second harmonic for the same drive amplitude. The results reveal that in order to achieve shockless high amplitude pressure oscillations in a duct, both nonuniform area variation and circular cross section are required.

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Figures

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Fig. 1

Linear area variation resonator shapes: (a) rectangular cross section and (b) circular cross section where L = 200 mm and area at small end A1 = 1000 mm2 and area at large end A2 = 5500 mm2

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Fig. 2

Schematic of the experimental apparatus

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Fig. 3

Pressure waveforms for three different drive amplitudes (7.5, 22.5, and 31 V) for rectangular cross section (black) and circular cross section (gray) resonators

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Fig. 4

Pressure waveforms at small end PA (solid line) and large end PB (dashed line), for rectangular cross section and circular cross section duct for 31 V driving voltage

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Fig. 5

Pressure waveforms and its corresponding spectra at (a) 7.5 V, (b) 22.5 V, and (c) 31 V driving voltage. Data for rectangular section is in the left column and the circular section data is in the right.

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