Theoretical and Experimental Analyses on the Sound Absorption Coefficient of Rice and Buckwheat Husks Based on Micro-CT Scan Data
Abstract
:1. Introduction
2. Experimental Measurements
2.1. Sound Absorption
2.2. Tortuosity
3. Theoretical Analysis
3.1. Overview
3.2. Image Acquisition
3.3. Image Processing
3.3.1. Binarization
3.3.2. Edge Extraction
3.4. Derivation of the Sound Absorption Coefficient
3.4.1. Approximation to Clearance between Two Planes
3.4.2. Propagation Constants and Characteristic Impedance
3.4.3. Transfer Matrix
3.4.4. Normal Incident Sound Absorption Coefficient
4. Results and Discussion
5. Conclusions
- The structures filled with rice and buckwheat husks were not periodic, which made constructing a geometric model difficult. Therefore, the sound absorption coefficient was estimated theoretically by first processing CT images.
- The tortuosity increased the theoretical value of the peak sound absorption and lowered the frequency, which decreased the difference with the measured values. Therefore, the measured tortuosity was considered reasonable.
- We used a correction factor to bring the surface area of the granular material closer to the actual surface area and observed that the tortuosity obtained theoretical values that matched the trend of the measured values. These results indicate that using CT images to estimate the sound absorption coefficient is a viable approach.
- Mass production application studies based on this research are under consideration.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Material | Average Grain Size (mm) | Mass per Grain (mg) | Bulk Density (kg/m3) | Measured Tortuosity |
---|---|---|---|---|
Rice husk | 7.3 × 3.6 | 2.15 | 105.36 | 1.92 |
Buckwheat husk | 5.7 × 4.1 | 4.54 | 110.66 | 1.74 |
Surface Area Calculated from CT Images (mm2) | Surface Area in the 3D Model (mm2) | Correction Factor F | |
---|---|---|---|
Rice husk | 49,383 | 67,481 | 1.37 |
Buckwheat husk | 41,461 | 59,403 | 1.43 |
Peak Frequency (Hz) | Absorption Coefficient at Peak | Tortuosity | Correction Factor F | |
---|---|---|---|---|
Measured value | 3150 | 0.696 | - | - |
Theoretical value | 5288 | 0.401 | 1.00 | 1.00 |
Theoretical value (Considering tortuosity) | 3175 | 0.540 | 1.92 | 1.00 |
Theoretical value (Considering surface correction) | 3100 | 0.682 | 1.92 | 1.37 |
Peak Frequency (Hz) | Absorption Coefficient at Peak | Tortuosity | Correction Factor F | |
---|---|---|---|---|
Measured value | 3325 | 0.627 | - | - |
Theoretical value | 5275 | 0.343 | 1.00 | 1.00 |
Theoretical value (Considering tortuosity) | 3400 | 0.453 | 1.74 | 1.00 |
Theoretical value (Considering surface correction) | 3313 | 0.605 | 1.74 | 1.43 |
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Sakamoto, S.; Toda, K.; Seino, S.; Hoshiyama, K.; Satoh, T. Theoretical and Experimental Analyses on the Sound Absorption Coefficient of Rice and Buckwheat Husks Based on Micro-CT Scan Data. Materials 2023, 16, 5671. https://doi.org/10.3390/ma16165671
Sakamoto S, Toda K, Seino S, Hoshiyama K, Satoh T. Theoretical and Experimental Analyses on the Sound Absorption Coefficient of Rice and Buckwheat Husks Based on Micro-CT Scan Data. Materials. 2023; 16(16):5671. https://doi.org/10.3390/ma16165671
Chicago/Turabian StyleSakamoto, Shuichi, Kentaro Toda, Shotaro Seino, Kohta Hoshiyama, and Takamasa Satoh. 2023. "Theoretical and Experimental Analyses on the Sound Absorption Coefficient of Rice and Buckwheat Husks Based on Micro-CT Scan Data" Materials 16, no. 16: 5671. https://doi.org/10.3390/ma16165671
APA StyleSakamoto, S., Toda, K., Seino, S., Hoshiyama, K., & Satoh, T. (2023). Theoretical and Experimental Analyses on the Sound Absorption Coefficient of Rice and Buckwheat Husks Based on Micro-CT Scan Data. Materials, 16(16), 5671. https://doi.org/10.3390/ma16165671