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Research Papers

# A Study of Acoustic Wave Resonance in Water-Filled Tubes With Different Wall Thicknesses and Materials

[+] Author and Article Information
Alireza Mokhtari

Department of Mechanical Engineering,
University of Manitoba,
75A Chancellors Circle, Winnipeg, MB R3T 5V6, Canada
e-mail: ummokhta@myumanitoba.ca

Vijay Chatoorgoon

Department of Mechanical Engineering,
University of Manitoba,
75A Chancellors Circle, Winnipeg, MB R3T 5V6, Canada
e-mail: vijay.chatoorgoon@umanitoba.ca

1Corresponding author.

Manuscript received July 3, 2015; final manuscript received February 1, 2016; published online June 17, 2016. Assoc. Editor: Mark Anderson.

ASME J of Nuclear Rad Sci 2(3), 031011 (Jun 17, 2016) (14 pages) Paper No: NERS-15-1144; doi: 10.1115/1.4032781 History: Received July 03, 2015; Accepted February 01, 2016

## Abstract

Acoustic resonance of a fluid-filled tube with closed and open outlet ends for zero and turbulent mean flows is investigated both experimentally and numerically for different wall materials and thicknesses. The main goal is to create a data bank of acoustic wave resonance in fluid-filled tubes at a frequency range of 20–500 Hz to validate and verify numerical prediction models used by the nuclear industry and to determine if there is a better method with existing technology. The experimental results show that there is a strong effect of turbulent flow, wall material, and wall thickness on resonant amplitudes at frequencies above $∼250 Hz$. A numerical investigation is performed solving the linear wave equation with constant and frequency-dependent damping terms and a computational fluid dynamic (CFD) code. Comparing the one-dimensional (1D) and CFD results shows that CFD solution yields better predictions of both resonant frequency and amplitude than the 1D solution without the need for simplified added damping methods, which are required by the 1D methodology. This finding is valid especially for frequencies higher than $∼300 Hz$.

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## Figures

Fig. 1

Schematic diagram of the experiment

Fig. 2

Comparison between results of the “6.13 m long 10 mm OD SS closed-end experiment,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 3

Comparison between results of the “6.13 m long 12 mm OD SS closed-end experiment,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 4

Prediction methods RMSE for SS and Al tubes: (a) Frequency and (b) amplitude

Fig. 5

Resonant amplitude prediction relative errors for SS tubes

Fig. 6

Comparison between results of the “6.13 m long 12 mm OD Al closed-end experiment,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 7

Resonant amplitude prediction relative errors for Al tube

Fig. 8

Radial profiles of the computed axial velocity with CFD at two different resonant frequencies for a period of time

Fig. 9

Comparison between no flow and turbulence results of the “6.13 m long 10 mm OD SS open-ended experiments” at (a) 1.46, (b) 2.54, and (c) 4.65 m

Fig. 10

Comparison between zero mean flow results of the “10 mm OD SS open-ended experiments at 1.46 m,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 11

Comparison between zero mean flow results of the “10 mm OD SS open-ended experiments at 2.54 m,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 12

Comparison between zero mean flow results of the “10 mm OD SS open-ended experiments at 4.65 m,” LWS and CFD predictions. (a) First resonant mode, (b) second resonant mode, (c) third resonant mode, and (d) fourth resonant mode

Fig. 13

Resonant amplitude prediction relative errors for zero flow

Fig. 14

Zero mean flow amplitude prediction RMS: (a) frequency and (b) amplitude

Fig. 15

Resonant amplitude prediction relative errors for turbulent flow

Fig. 16

Radial profiles of the computed axial velocity with CFD at the fourth resonant frequency, at P3. (a) Turbulent flow and (b) zero mean flow

Fig. 17

Turbulent kinetic energy and turbulence eddy dissipation at the fourth resonant frequency, at P3

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