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Effect of bevel angle on the reflection coefficient from open unflanged pipes
Shih-Cheng A Chu1, David R Dowling1
1Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2133, USA.
The Journal of the Acoustical Society of America
|November 15, 2018
Summary
Bevel-angled pipe ends in exhaust systems were studied. Increasing the bevel angle significantly alters acoustic reflection coefficients and end impedances, impacting exhaust system performance.
Area of Science:
- Acoustics
- Mechanical Engineering
- Automotive Engineering
Background:
- Bevel-angled pipe cuts are common in automotive and motorcycle exhaust systems.
- Understanding acoustic properties of these pipes is crucial for system design and performance optimization.
Purpose of the Study:
- To measure acoustic reflection coefficients and end impedances for unflanged open-ended pipes with varying bevel angles (0°, 30°, 60°).
- To analyze the effect of bevel angle on acoustic behavior within a specific frequency range (0.03 < ka < 0.27).
Main Methods:
- Utilized two-microphone experiments to obtain acoustic measurements.
- Tested pipes with specific bevel angles: 0°, 30°, and 60°.
- Focused on the acoustic wave number (k) and pipe radius (a) relationship.
Main Results:
- Measurements for 0° bevel angle aligned with classical pipe reflection coefficient results.
- A 60° bevel angle resulted in a 2% decrease in reflection coefficient magnitude.
- End reactance increased by 130% and end resistance by 24% with a 60° bevel angle.
Conclusions:
- The bevel angle of open-ended pipes significantly influences their acoustic impedance and reflection characteristics.
- Deviations from classical models become notable at higher bevel angles, particularly affecting end reactance and resistance.
- Findings provide valuable data for designing and tuning automotive and motorcycle exhaust systems with angled pipe terminations.
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