Development and Validation of a Low-Cost Arduino-Based Lee Disc System for Thermal Conductivity Analysis of Sustainable Roofing Materials
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials
- Fiber Cement Tile (FCT): Samples purchased from the manufacturer Eternit S.A., standard corrugated model “Eternit Bigfort 6 mm”, in accordance with ABNT NBR 15575 [29]. The measured dimensions were 2.20 m long, 1.20 m wide, and 5 mm thick. The average density was approximately 1800 kg·m−3, and the nominal thermal conductivity provided by the manufacturer is 0.80 W·m−1·K−1.
- Ceramic Tile (CT): Commercial colonial-type samples provided by Cerâmica Ananindeua Ltd.a., identified as model “Colonial 40 × 23 cm”, also in accordance with ABNT NBR 15575 [29]. The measured dimensions were 0.401 m × 0.233 m × 0.010 m (length × width × thickness). The average density was 1500 kg·m−3, and the thermal conductivity was estimated between 0.70 and 1.05 W·m−1·K−1, according to the literature and manufacturer’s specifications.
- Galvanized Metal Tile (TG): Trapezoidal sheets of the TP-25 profile, supplied by Brasilit S.A., with dimensions of 1.80 m × 1.00 m and a thickness of 0.84 mm, confirmed with a digital caliper (accuracy 0.01 mm). Due to the high thermal conductivity of galvanized steel (≈52 W·m−1·K−1), this type of tile is usually used in conjunction with insulating materials, which was considered in subsequent analyses.
- Polyurethane/Miriti Fiber (MPM): A bi-component castor oil-based polyurethane system (IMPERVEG® AGT 1315) reinforced with miriti palm fibers (Mauritia flexuosa), applied in the form of an insulating blanket. A fiber mass fraction of 10% was adopted, based on recent studies [33,35]. This sample was tested independently, in order to evaluate the intrinsic thermal behavior of the composite material.
- Metallic + MPM: Galvanized metal roofing sheets (TP-25 profile, supplied by Brasilit S.A.) coated on the inner surface with the polyurethane/miriti fiber composite described above. This hybrid condition was created to reduce the high thermal conductivity of bare metallic tiles (≈52 W·m−1·K−1) and represents a practical configuration for real roofing applications.
2.1.1. Insulation and Composite Materials
2.1.2. Lee Prototype Components
- Metal discs: Four aluminum discs were employed, each with a diameter of 10 cm and thickness of 1 cm. The discs were machined to a surface roughness below 0.8 µm to ensure optimal thermal contact with the samples. The mass of each disc was measured using a high-precision analytical balance (Shimadzu) with a resolution of 0.1 mg, ensuring accuracy in the thermal capacity calculations.
- Circular roofing samples: The samples were extracted using a diamond-tipped hole saw, maintaining a standardized diameter of 10 cm. The thickness corresponded to the original typology of each roofing material, and the edges were sanded carefully to correct surface imperfections and ensure adequate flatness, thereby minimizing thermal contact resistance between the layers.
2.1.3. Instrumentation and Sensors
2.1.4. Sealing and Thermal Insulation Materials
2.2. Methods
2.2.1. Experimental Prototype Development
2.2.2. Sample Preparation
2.2.3. Experimental Procedure
2.2.4. Data Analysis
2.2.5. Uncertainty Analysis
- Temperature measurement: The K-type thermocouples coupled with MAX6675 converters presented a combined uncertainty of ±0.1 °C after calibration with a reference thermometer. For the observed gradients (30–70 K), this corresponds to a relative uncertainty below 0.3%.
- Sample thickness: Measured at three points with a digital micrometer (resolution 0.01 mm). For samples 5–12 mm thick, the relative uncertainty was estimated at ±0.2%.
- Disc mass and heat capacity: The aluminum discs were measured with ±0.1 mg precision, yielding negligible error (<0.1%). The adopted specific heat capacity (c = 9 × 102 J·kg−1·K−1) may vary by ±2% depending on purity and processing, which was considered as a systematic contribution.
- Cooling rate determination: The slope of the initial cooling curve was obtained by linear regression of the first 60 s after heater switch-off. The standard deviation of the fit was typically below 2%.
3. Results and Discussions
3.1. Prototype Validation and Experimental Performance
3.2. Measuring the Thermal Conductivity of Roof Tiles
3.3. Critical Analysis and Comparison with Literature
3.4. Limitations and Experimental Sensitivity Analysis
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | FCT | CT | MPM | Metallic + MPM |
---|---|---|---|---|
Thickness (mm) | 4.8 | 11.6 | 7.2 | 6.4 |
Cooling rate (K·s−1) | 0.1908 | 0.1899 | 0.1476 | 0.2072 |
Stationary temperature difference (T2-T1) (K) | 31.25 | 54.25 | 59.50 | 70 |
Parameter | Value |
---|---|
Mass (kg) | 0.0393 |
Height (mm) | 7.2 |
Heat capacity of aluminum (J·kg−1·K−1) | 9 × 102 |
Radius (mm) | 25.5 |
Sample | k [W·m−1·K−1] | Standard Deviation |
---|---|---|
CT | 0.429 | 0.012 |
FCT | 0.309 | 0.009 |
MPM | 0.180 | 0.008 |
Metallic + MPM | 0.200 | 0.007 |
Material | Experimental Value (W·m−1·K−1) | Literature Range (W·m−1·K−1) | References |
---|---|---|---|
CT | 0.429 | 0.35–0.50 | [47] |
FCT | 0.3095 | 0.30–0.40 | [48] |
MPM | 0.1992 | 0.18–0.24 | [35] |
Metallic + MPM | 0.2004 | 0.20–0.25 |
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Negreiros, W.J.A.G.; Rodrigues, J.d.S.; Ribeiro, M.M.; Silva, D.S.; Junio, R.F.P.; Seruffo, M.C.d.R.; Monteiro, S.N.; Corrêa, A.d.C. Development and Validation of a Low-Cost Arduino-Based Lee Disc System for Thermal Conductivity Analysis of Sustainable Roofing Materials. Sensors 2025, 25, 5447. https://doi.org/10.3390/s25175447
Negreiros WJAG, Rodrigues JdS, Ribeiro MM, Silva DS, Junio RFP, Seruffo MCdR, Monteiro SN, Corrêa AdC. Development and Validation of a Low-Cost Arduino-Based Lee Disc System for Thermal Conductivity Analysis of Sustainable Roofing Materials. Sensors. 2025; 25(17):5447. https://doi.org/10.3390/s25175447
Chicago/Turabian StyleNegreiros, Waldemiro José Assis Gomes, Jean da Silva Rodrigues, Maurício Maia Ribeiro, Douglas Santos Silva, Raí Felipe Pereira Junio, Marcos Cesar da Rocha Seruffo, Sergio Neves Monteiro, and Alessandro de Castro Corrêa. 2025. "Development and Validation of a Low-Cost Arduino-Based Lee Disc System for Thermal Conductivity Analysis of Sustainable Roofing Materials" Sensors 25, no. 17: 5447. https://doi.org/10.3390/s25175447
APA StyleNegreiros, W. J. A. G., Rodrigues, J. d. S., Ribeiro, M. M., Silva, D. S., Junio, R. F. P., Seruffo, M. C. d. R., Monteiro, S. N., & Corrêa, A. d. C. (2025). Development and Validation of a Low-Cost Arduino-Based Lee Disc System for Thermal Conductivity Analysis of Sustainable Roofing Materials. Sensors, 25(17), 5447. https://doi.org/10.3390/s25175447