Derivation and Evaluation of Carbon Dioxide Partial Derivative Property by Implicit Solution of Brayton Cycle System

Wen Shuang; Wen Qinglong; Hu Wenjun; Xu Shijia

doi:10.13832/j.jnpe.2023.04.0065

Volume 44 Issue 4

Aug. 2023

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Wen Shuang, Wen Qinglong, Hu Wenjun, Xu Shijia. Derivation and Evaluation of Carbon Dioxide Partial Derivative Property by Implicit Solution of Brayton Cycle System[J]. Nuclear Power Engineering, 2023, 44(4): 65-71. doi: 10.13832/j.jnpe.2023.04.0065

Citation:

Wen Shuang, Wen Qinglong, Hu Wenjun, Xu Shijia. Derivation and Evaluation of Carbon Dioxide Partial Derivative Property by Implicit Solution of Brayton Cycle System[J]. Nuclear Power Engineering, 2023, 44(4): 65-71. doi: 10.13832/j.jnpe.2023.04.0065

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Derivation and Evaluation of Carbon Dioxide Partial Derivative Property by Implicit Solution of Brayton Cycle System

doi: 10.13832/j.jnpe.2023.04.0065

Wen Shuang^1
,,
Wen Qinglong^{1, 2
,
,},
Hu Wenjun³,
Xu Shijia¹

1.
Department of Nuclear Engineering and Technology, Chongqing University, Chongqing, 400044, China
2.
Key Laboratory of Low Grade Energy Utilization Technologies and Systems, Chongqing University, Chongqing, 400044, China
3.
China Institute of Atomic Energy, Beijing, 102413, China

Received Date: 2022-09-06
Rev Recd Date: 2023-01-10
Publish Date: 2023-08-15

Abstract

Abstract

To improve the accuracy of solving the Brayton Cycle equation of supercritical carbon dioxide (S-CO₂), the fully implicit or semi-implicit difference scheme is used to solve the fluid conservation equation discretely, and the partial derivative property is indispensable for the implicit solution. This study will evaluate the accuracy of the most typical state equation of carbon dioxide gas in the full parameter range. On this basis, the Maxwell equation is used to derive the partial derivative correlation of carbon dioxide gas. The results show that:①the SW equation has the highest accuracy in subcritical and supercritical regions, and the error is kept within 3%; ②based on the SW equation and Maxwell equation, the correlations of (∂h/∂ρ)_p and (∂h/∂p)_ρ of carbon dioxide gas at 216~1100 K and 0 ~800 MPa are derived; ③ the error of most data points of (∂h/∂ρ)_p and (∂h/∂p)_ρ remains within ±0.01%, and the error increases slightly near the critical point. The maximum error of (∂h/∂ρ)_p is 0.373%, and the maximum error of (∂h/∂p)_ρ is −0.798%.
- Carbon dioxide,
- Partial derivative property,
- Derivation,
- Evaluation

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References(10)

References

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