Calculating total acoustic power output using modal radiation efficiencies

1995 ◽  
Vol 97 (3) ◽  
pp. 1702-1709 ◽  
Author(s):  
Scott D. Snyder ◽  
Nobuo Tanaka
Keyword(s):  
Power Output ◽  
Acoustic Power

scholarly journals Design of a Mechanical Resonator to Be Coupled to a Thermoacoustic Stirling-Engine

2010 ◽  
Author(s):  
M. E. H. Tijani ◽  
Srinivas Vanapalli ◽  
Simon Spoelstra
Keyword(s):  
Power Output ◽  
Acoustic Power ◽  
Acoustic Resonator ◽  
Stirling Engine ◽  
Narrow Gap ◽  
Mechanical Resonator ◽  
Opposite Phase ◽  
Quarter Wavelength ◽  
Dynamic Seal

This paper describes the design of a mechanical resonator for a thermoacoustic Stirling-engine. The engine was previously run with a quarter-wavelength acoustic resonator. The advantage of the mechanical resonator is that it is compact and would dissipate less acoustic power. The mechanical resonator consists of a twin piston-spring assembly moving in opposite phase to cancel vibrations. The system uses flexure springs to suspend the piston in a cylinder leaving a narrow gap between them. The narrow gap acts as a dynamic seal between the fronts and back sides of the piston. Simulation calculations show that the mechanical resonator dissipates 40% less acoustic power than the acoustic one. This will lead to more useful acoustic power output from the thermoacoustic Stirling-engine. In addition, the size of the system is reduced considerably.

On sound generated aerodynamically II. Turbulence as a source of sound

1954 ◽  
Vol 222 (1148) ◽  
pp. 1-32 ◽  
Keyword(s):  
Mach Number ◽  
Power Output ◽  
Momentum Flux ◽  
Acoustic Power ◽  
Aerodynamic Noise ◽  
Mean Flow ◽  
Frequency Sound ◽  
Rough Approximation ◽  
Mach Numbers ◽  
Jet Velocity

The theory of sound generated aerodynamically is extended by taking into account the statistical properties of turbulent airflows, from which the sound radiated (without the help of solid boundaries) is called aerodynamic noise. The theory is developed with special reference to the noise of jets, for which a detailed comparison with experiment is made (§7 for subsonic jets, §8 for supersonic ones). The quadrupole distribution of part I (Lighthill 1952) is shown to behave (see §3) as if it were concentrated into independent point quadrupoles, one in each ‘average eddy volume’. The sound field of each of these is distorted, in favour of downstream emission, by the general downstream motion of the eddy, in accordance with the quadrupole convection theory of part I. This explains, for jet noise, the marked preference for downstream emission, and its increase with jet velocity. For jet velocities considerably greater than the atmospheric speed of sound, the ‘Mach number of convection’ M c may exceed I in parts of the jet, and then the directional maximum for emission from these parts of the jet is at an angle of sec -1 ( M c ) to the axis (§8). Although turbulence without any mean flow has an acoustic power output, which was calculated to a rough approximation from the expressions of part I by Proudman (1952) (see also § 4 below), nevertheless, turbulence of given intensity can generate more sound in the presence of a large mean shear (§ 5). This sound has a directional maximum at 45° (or slightly less, due to the quadrupole convection effect) to the shear layer. These results follow from the fact that the most important term in the rate of change of momentum flux is the product of the pressure and the rate of strain (see figure 2). The higher frequency sound from the heavily sheared mixing region close to the orifice of a jet is found to be of this character. But the lower frequency sound from the fully turbulent core of the jet, farther downstream, can be estimated satisfactorily (§7) from Proudman’s results, which are here reinterpreted (§5) in terms of sound generated from combined fluctuations of pressure and rate of shear in the turbulence. The acoustic efficiency of the jet is of the order of magnitude 10 -4 M 5 , where M is the orifice Mach number. However, the good agreement, as regards total acoustic power output, with the dimensional considerations of part I, is partly fortuitous. The quadrupole convection effect should produce an increase in the dependence of acoustic power on the jet velocity above the predicted U 8 law. The experiments show that (largely cancelling this) some other dependence on velocity is present, tending to reduce the intensity, at the stations where the convection effect would be absent, below the U 8 law. At these stations (at 90° to the jet) proportionality to about U 6.5 is more common. A suggested explanation of this, compatible with the existing evidence, is that at higher Mach numbers there may be less turbulence (especially for larger values of nd / U , where n is frequency and d diameter), because in the mixing region, where the turbulence builds up, it is losing energy by sound radiation. This would explain also the slow rate of spread of supersonic mixing regions, and, indeed, is not incompatible with existing rough explanations of that phenomenon. A consideration (§6) of whether the terms other than momentum flux in the quadrupole strength density might become important in heated jets indicates that they should hardly ever be dominant. Accordingly, the physical explanation (part I) of aerodynamic sound generation still stands. It is re-emphasized, however, that whenever there is a fluctuating force between the fluid and a solid boundary, a dipole radiation will result which may be more efficient than the quadrupole radiation, at least at low Mach numbers.

A note on the acoustic power output of a circular plate

1988 ◽  
Vol 121 (2) ◽  
pp. 269-275 ◽  
Author(s):  
H. Levine ◽  
F.G. Leppington
Keyword(s):  
Circular Plate ◽  
Power Output ◽  
Acoustic Power

scholarly journals Estimation of Acoustic Power Output from Electrical Impedance Measurements

Acoustics ◽  
2020 ◽  
Vol 2 (1) ◽  
pp. 37-50
Author(s):  
Gergely Csány ◽  
Michael Gray ◽  
Miklós Gyöngy
Keyword(s):  
Power Output ◽  
High Intensity ◽  
Electrical Impedance ◽  
Focused Ultrasound ◽  
Low Cost ◽  
Acoustic Power ◽  
High Intensity Focused Ultrasound ◽  
Ultrasound Transducers ◽  
Impedance Measurements ◽  
Primary Advantage

A method is proposed for estimating the acoustic power output of ultrasound transducers using a two-port model with electrical impedance measurements made in three different propagation media. When evaluated for two high-intensity focused ultrasound transducers at centre frequencies between 0.50 and 3.19 MHz, the resulting power estimates exceeded acoustic estimates by 4.5–21.8%. The method was shown to be valid for drive levels producing up to 20 MPa in water and should therefore be appropriate for many HIFU (high-intensity focused ultrasound) applications, with the primary advantage of employing relatively low-cost, non-specialist materials and instrumentation.

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