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[Objective] To improve the smoothness of the meridional flow passage and thereby enhance the flow efficiency of centrifugal compressors, this study develops a quasi-three-dimensional (quasi-3D) aerodynamic design methodology for CO₂ centrifugal compressors, based on a novel meridional passage design algorithm with high-order smooth curvature. The meridional passage is a critical geometric feature of a centrifugal compressor because it directly governs the through-flow velocity distribution, blade loading and internal losses. The design procedure consists of three steps. 

[Methods] First, a supercritical carbon dioxide (S-CO₂) centrifugal compressor is designed and optimized at the one-dimensional (1D) level, through which the key aerodynamic and geometric parameters, such as the specific speed, the flow coefficient and the impeller diameter ratio, are determined. Second, based on the obtained 1D parameters, a meridional flow passage design algorithm with high-order smooth curvature is developed. In this algorithm, the hub and shroud meridional contours are constructed so that the curvature varies continuously from the inlet to the outlet. Compared with the conventional multi-arc meridional contours, which exhibit discontinuous curvature at the arc junctions, the proposed contours are smoother. A discontinuity of curvature causes abrupt changes in the wall curvature and undesirable near-wall flow disturbances, which may promote boundary-layer separation and increase losses; the continuous curvature distribution, in contrast, suppresses such disturbances and yields a more uniform flow and a higher flow efficiency. Third, on the basis of the curvature-smooth meridional passage and the S1/S2 stream surface method, a quasi-3D blade profile design approach for the CO₂ compressor is developed. The S1/S2 method decomposes the three-dimensional flow into blade-to-blade (S1) and through-flow (S2) stream surfaces solved in a coupled manner, enabling an efficient and physically sound design of the blade camber lines and thickness distributions. Applying this methodology yields the impeller design scheme for the recompressor of a 300 MW-class CO2 power generation system with a split-flow recompression cycle. 

[Results] Numerical simulations of the designed compressor show that the total-to-total isentropic efficiencies of the impeller and the diffuser reach 93%~97% or above, fully validating the effectiveness of the proposed method. The stage-to-stage efficiency variation is mainly caused by the decrease in the specific speed of the last stage: as the pressure rises, the CO2 density increases and the volumetric flow rate decreases, which lowers the specific speed and degrades the efficiency of the final stage. 

[Conclusion] The proposed meridional passage and quasi-3D design methods are therefore expected to significantly promote the aerodynamic design research and engineering application of CO2 compressors.

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【目的】为了提升离心压缩机子午流道的光滑性及流道效率,本研究开发了一种基于高阶光滑子午流道算法的二氧化碳离心压缩机准三元设计方法。

【方法】首先,通过超临界二氧化碳离心压缩机的一维设计及优化,确定了离心压缩机的一维参数。其次,基于计算得到的一维设计参数,研究开发了一种高阶光滑的离心压缩机子午流道设计方法,盘盖子午型线曲率从入口到出口始终连续光滑过渡,子午流道型线具有二阶导数连续性,相对于多段圆弧组成的非连续曲率子午型线更为光滑,流道效率更高。最后,基于高阶光滑子午流道和S1、S2两类流面法,开发了二氧化碳压缩机叶片型线准三元设计方法,得到了300MW等级二氧化碳发电分流再压缩系统的再压缩机叶轮设计方案。

【结果】数值模拟发现,压缩机叶轮及扩压器的总总等熵效率可达到93%~97%以上,充分验证了研究方法的有效性,叶轮效率逐级降低的原因是随着压力升高、比体积减小导致后面几级比转速逐级降低,流道狭长导致摩擦损失增大所致。

【结论】本研究提出的子午流道及准三元设计方法对二氧化碳压缩机的气动设计研究具有重要促进作用。

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A quasi-three-dimensional design method for a supercritical CO₂ centrifugal compressor based on a high-order smooth meridional flow passage algorithm
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    【目的】为了提升离心压缩机子午流道的光滑性及流道效率,本研究开发了一种基于高阶光滑子午流道算法的二氧化碳离心压缩机准三元设计方法。

    【方法】首先,通过超临界二氧化碳离心压缩机的一维设计及优化,确定了离心压缩机的一维参数。其次,基于计算得到的一维设计参数,研究开发了一种高阶光滑的离心压缩机子午流道设计方法,盘盖子午型线曲率从入口到出口始终连续光滑过渡,子午流道型线具有二阶导数连续性,相对于多段圆弧组成的非连续曲率子午型线更为光滑,流道效率更高。最后,基于高阶光滑子午流道和S1、S2两类流面法,开发了二氧化碳压缩机叶片型线准三元设计方法,得到了300MW等级二氧化碳发电分流再压缩系统的再压缩机叶轮设计方案。

    【结果】数值模拟发现,压缩机叶轮及扩压器的总总等熵效率可达到93%~97%以上,充分验证了研究方法的有效性,叶轮效率逐级降低的原因是随着压力升高、比体积减小导致后面几级比转速逐级降低,流道狭长导致摩擦损失增大所致。

    【结论】本研究提出的子午流道及准三元设计方法对二氧化碳压缩机的气动设计研究具有重要促进作用。

    [Objective] To improve the smoothness of the meridional flow passage and thereby enhance the flow efficiency of centrifugal compressors, this study develops a quasi-three-dimensional (quasi-3D) aerodynamic design methodology for CO₂ centrifugal compressors, based on a novel meridional passage design algorithm with high-order smooth curvature. The meridional passage is a critical geometric feature of a centrifugal compressor because it directly governs the through-flow velocity distribution, blade loading and internal losses. The design procedure consists of three steps. 

    [Methods] First, a supercritical carbon dioxide (S-CO₂) centrifugal compressor is designed and optimized at the one-dimensional (1D) level, through which the key aerodynamic and geometric parameters, such as the specific speed, the flow coefficient and the impeller diameter ratio, are determined. Second, based on the obtained 1D parameters, a meridional flow passage design algorithm with high-order smooth curvature is developed. In this algorithm, the hub and shroud meridional contours are constructed so that the curvature varies continuously from the inlet to the outlet. Compared with the conventional multi-arc meridional contours, which exhibit discontinuous curvature at the arc junctions, the proposed contours are smoother. A discontinuity of curvature causes abrupt changes in the wall curvature and undesirable near-wall flow disturbances, which may promote boundary-layer separation and increase losses; the continuous curvature distribution, in contrast, suppresses such disturbances and yields a more uniform flow and a higher flow efficiency. Third, on the basis of the curvature-smooth meridional passage and the S1/S2 stream surface method, a quasi-3D blade profile design approach for the CO₂ compressor is developed. The S1/S2 method decomposes the three-dimensional flow into blade-to-blade (S1) and through-flow (S2) stream surfaces solved in a coupled manner, enabling an efficient and physically sound design of the blade camber lines and thickness distributions. Applying this methodology yields the impeller design scheme for the recompressor of a 300 MW-class CO2 power generation system with a split-flow recompression cycle. 

    [Results] Numerical simulations of the designed compressor show that the total-to-total isentropic efficiencies of the impeller and the diffuser reach 93%~97% or above, fully validating the effectiveness of the proposed method. The stage-to-stage efficiency variation is mainly caused by the decrease in the specific speed of the last stage: as the pressure rises, the CO2 density increases and the volumetric flow rate decreases, which lowers the specific speed and degrades the efficiency of the final stage. 

    [Conclusion] The proposed meridional passage and quasi-3D design methods are therefore expected to significantly promote the aerodynamic design research and engineering application of CO2 compressors.

    . 基于高阶光滑子午流道算法的超临界二氧化碳离心压缩机准三元设计方法. 热力发电, : - . DOI: 10.19666/j.rlfd.202607043
    . A quasi-three-dimensional design method for a supercritical CO₂ centrifugal compressor based on a high-order smooth meridional flow passage algorithm[J]. Thermal Power Generation, : - . DOI: 10.19666/j.rlfd.202607043

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    Number of
    genus
    种数
    Number of
    species
    占总种数比例
    Percentage of
    total species (%)
    属
    Genus
    种数
    Number of
    species
    占总种数比例
    Percentage of total
    species (%)
    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
    红菇属 Russula 17 8.13
    栓菌属 Trametes 5 2.39
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