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A new correlation for predicting the thermal conductivity of liquid refrigerants

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Abstract

The material ability to conduct the heat transfer is called thermal conductivity which is defined by Fourier's equation. Thermodynamic data on environmentally acceptable refrigerants have maximum interest for industries to optimize and design equipment of refrigeration such as exchangers and heat compressors. Because source empirical findings are not applicable for all temperature ranges in industries, correlation approaches are usually preferred. In this research, a novel simple correlation has been developed to predict the thermal conductivity of liquid refrigerants using regression approaches. The variance analysis was applied to study the rationality of regression model. Around 15,874 experimental data of 27 refrigerants were examined to obtain the main effects between the independent parameters. Independent parameters are temperature, boiling and reduced temperatures. The calculations show that the accuracy of the proposed correlation using the average absolute relative deviation (AARD) and root mean square deviation has priority over the previous relations. The results indicated that the AARD of the proposed model is 1.1% which is 68% lower than of the most accurate previous model (Latini–Sotte).

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Abbreviations

\(A\) :

Thermal conductivity value of the specific fluid/Wm1 K1

\(k_{{\text{C}}}\) :

Thermal conductivity/Wm1 K1

\(M\) :

Molecular weight/gr mol1

\(P_{{\text{C}}}\) :

Critical pressure/KPa

\(T\) :

Temperature/K

\(T_{{{\text{br}}}}\) :

Boiling temperature/K

\(T_{{{\text{fus}}}}\) :

Fusion temperature/K

\(T_{{\text{r}}}\) :

Reduced temperature/K

\(\Phi\) :

Golden ratio

\(\lambda\) :

Thermal conductivity/Wm1 K1

\(\lambda_{{\text{b}}}\) :

Thermal conductivity at the normal boiling point/Wm1 K1

\(\omega\) :

Decentralized coefficient

AARD:

Average absolute relative deviation/%

RMSD:

Root mean square deviation

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Acknowledgements

The first author wishes to express their gratitude to the Natural Science Foundation of China (No. 51465047), the Natural Science Foundation of Jiangxi, China (No. 20151BAB207011) and the Aeronautical Science Foundation of China (No. 2014ZD56009) for supporting the research as reported in this paper.

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Correspondence to Masoud Afrand.

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Chen, Z., Akbari, M., Forouharmanesh, F. et al. A new correlation for predicting the thermal conductivity of liquid refrigerants. J Therm Anal Calorim (2020). https://doi.org/10.1007/s10973-019-09238-w

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Keywords

  • Liquid refrigerant
  • Correlation
  • Thermal conductivity
  • Empirical method
  • Temperature