A numerical study on the effect of vibrator shape on the development of nonlinear standing waves in a 2-D acoustical resonator

Authors

  • Majid Nabvai Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Que. H3G 1M8, Canada
  • M.H. Kamran Siddiqui Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Que. H3G 1M8, Canada
  • Javad Dargahi Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Que. H3G 1M8, Canada

Keywords:

Acoustic equipment, Diaphragms, Pistons, Two dimensional, Velocity control, Vibrators, Wave equations, Acoustical resonators, Cosine shape, Thermo-viscous fluids, Vibrating piston

Abstract

The numerical analysis of the effects of different shape of the vibrator on the pressure and velocity profile in 2-D nonlinear standing wave resonator is studied. The wave equation for high-amplitude nonlinear acoustic waves in a thermo-viscous fluid is derived from the basic equations of fluid mechanics along with an appropriate state equation. Three different shapes are considered for the diaphragm which are, constant shape vibrating piston, circular shape and cosine shape, to investigate the effects of the diaphragm shape on the pressure and velocity waveforms of an acoustic resonator. It is observed that for the same maximum vibrational velocity of the diaphragm, the amplitudes of the pressure and velocity for constant shape vibrating piston are largest and for cosine shape are smallest.

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Published

2007-09-01

How to Cite

1.
Nabvai M, Kamran Siddiqui M, Dargahi J. A numerical study on the effect of vibrator shape on the development of nonlinear standing waves in a 2-D acoustical resonator. Canadian Acoustics [Internet]. 2007 Sep. 1 [cited 2021 Oct. 25];35(3):162-3. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/1951

Issue

Section

Proceedings of the Acoustics Week in Canada