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28 March 2023 Mathematical model on equivalent thermal conductivity coefficient of foamed concrete
Desheng Cao, Chaoyan Xing, Ying Qin, Guanghui Lou, Xiangyu Shen
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Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 1259703 (2023) https://doi.org/10.1117/12.2672163
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China
Abstract
Mathematical relationship between porosity and thermal conductivity coefficient of foamed concrete was deduced according to the principle of calculus. Mathematical model on equivalent thermal conductivity coefficient of foamed concrete was established based on serial and parallel network models of thermal resistance. Porosities and thermal conductivity coefficients of dry foamed concrete with different dry densities were measured. Applicability of mathematical model was analyzed based on comparison between theoretical values and measured values. Thermal conductivity coefficient decreases as porosity increases. There is a linear relationship between porosity and thermal conductivity coefficient. Theoretical values of mathematical model based on serial network model of thermal resistance has smaller deflection than that of the mathematical model based on the parallel network model. Mathematical model based on serial network model of thermal resistance has a better applicability.
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Desheng Cao, Chaoyan Xing, Ying Qin, Guanghui Lou, and Xiangyu Shen "Mathematical model on equivalent thermal conductivity coefficient of foamed concrete", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 1259703 (28 March 2023); https://doi.org/10.1117/12.2672163
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KEYWORDS
Resistance
Mathematical modeling
Thermal modeling
Porosity
Foam
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