
浏览全部资源
扫码关注微信
1.四川大学 化学工程学院,四川 成都 610065
2.四川大学 新能源与低碳技术研究院,四川 成都 610207
曾惜(1998—),硕士研究生,研究方向为CO2捕集工艺,E-mail:384488670@qq.com。
唐思扬(1987—),博士,副教授,研究方向为化学反应工程及催化反应构效关系,E-mail:siyangtang@scu.edu.cn。
收稿:2025-04-11,
修回:2025-05-14,
纸质出版:2026-03-25
移动端阅览
曾惜,唐思扬,钟山等.二甘醇胺CO2富液解吸宏观动力学研究[J].低碳化学与化工,2026,51(3):68-77.
ZENG Xi,TANG Siyang,ZHONG Shan,et al.Study on macroscopic kinetics of desorption of CO2-enriched DGA solution[J].Low-Carbon Chemistry and Chemical Engineering,2026,51(3):68-77.
曾惜,唐思扬,钟山等.二甘醇胺CO2富液解吸宏观动力学研究[J].低碳化学与化工,2026,51(3):68-77. DOI: 10.12434/j.issn.2097-2547.20250175.
ZENG Xi,TANG Siyang,ZHONG Shan,et al.Study on macroscopic kinetics of desorption of CO2-enriched DGA solution[J].Low-Carbon Chemistry and Chemical Engineering,2026,51(3):68-77. DOI: 10.12434/j.issn.2097-2547.20250175.
醇胺溶液是工业领域常用的CO
2
化学吸收剂。醇胺富液的CO
2
解吸动力学是评价醇胺类吸收剂的重要指标,研究醇胺富液的CO
2
解吸动力学和建立相应动力学模型对指导醇胺类吸收剂开发及优化具有重要意义。以富集CO
2
的5 mol/L二甘醇胺(DGA)溶液(简称“DGA富液”)为研究对象,采用连续搅拌反应装置测定其CO
2
解吸速率,同时使用反应器内旋转雷诺数(
Re
r
)和解吸温度分别作为衡量解吸过程中湍动强度和温度的状态参数,对DGA富液的CO
2
解吸动力学方程进行拟合。结果表明,与反应器内
Re
r
= 0相比,提高湍动强度(
Re
r
= 20000)可使DGA富液宏观解吸反应热降低6.21%,使表观活化能降低2.65%。在间歇解吸实验中,提高湍动强度可使DGA富液解吸CO
2
平衡负荷降低3.82%~9.16%(以转速200 r/min为基准),将解吸温度从353 K升高至372 K,可使DGA富液解吸CO
2
平衡负荷降低34.93%~39.64%。在连续解吸实验中,提高湍动强度可使CO
2
稳态解吸速率加快6.46%~79.63%(以转速200 r/min为基准),将富液解吸温度从347 K升高至376 K,可使CO
2
稳态解吸速率加快约17倍。在解吸温度为347~376 K、
Re
r
为846~7789及CO
2
负荷为1.35~2.68 mol/L的条件下,DGA富液的CO
2
解吸动力学模型为
<math id="M1"><mi>r</mi><mo>=</mo><mn mathvariant="normal">1.53</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">14</mn></mrow></msup><mo>×</mo><mi mathvariant="normal">e</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">p</mi><mfenced separators="|"><mrow><mo>-</mo><mfrac><mrow><mn mathvariant="normal">2.30</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">5</mn></mrow></msup><mo>-</mo><mn mathvariant="normal">1.53</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mo>-</mo><mn mathvariant="normal">5</mn></mrow></msup><mo>×</mo><mi>R</mi><msubsup><mrow><mi>e</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msubsup></mrow><mrow><mn mathvariant="normal">2</mn><mi>R</mi><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">s</mi></mrow></msub></mrow></mfrac></mrow></mfenced><mo>×</mo><msup><mrow><mfenced open="[" close="]" separators="|"><mrow><msub><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi><mo>-</mo><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow></msub><mo>-</mo><mfrac><mrow><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow><mrow><mi>*</mi></mrow></msubsup><mo>×</mo><msup><mrow><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi></mrow><mrow><mi>*</mi></mrow></msubsup></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msup></mrow><mrow><mn mathvariant="normal">6.34</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">24</mn></mrow></msup><mo>×</mo><mi mathvariant="normal">e</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">p</mi><mfenced separators="|"><mrow><mo>-</mo><mfrac><mrow><mn mathvariant="normal">1.74</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">5</mn></mrow></msup><mo>-</mo><mn mathvariant="normal">2.70</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mo>-</mo><mn mathvariant="normal">5</mn></mrow></msup><mo>×</mo><mi>R</mi><msubsup><mrow><mi>e</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msubsup></mrow><mrow><mi>R</mi><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">s</mi></mrow></msub></mrow></mfrac></mrow></mfenced></mrow></mfrac></mrow></mfenced></mrow><mrow><mn mathvariant="normal">1.20</mn></mrow></msup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175484&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175460&type=
149.60600281
18.37266731
。其中,
r
为CO
2
解吸速率,
R
为理想气体常数,
T
des
为解吸温度,
<math id="M2"><msub><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi><mo>-</mo><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175500&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175476&type=
9.99066734
3.30200005
为DGA富液CO
2
负荷,
<math id="M3"><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow><mrow><mi>*</mi></mrow></msubsup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175489&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175501&type=
5.33400011
3.55599999
为DGA富液CO
2
平衡浓度,
<math id="M4"><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi></mrow><mrow><mi>*</mi></mrow></msubsup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175466&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175490&type=
6.09600019
3.47133350
为解吸平衡时DGA浓度。
Alcohol-amine solvents are commonly used as CO
2
chemical absorbents in industrial fields. The CO
2
desorption kinetics of alcohol-amine rich solution is an important index for evaluating alcohol-amine absorbents. Studying the CO
2
deso
rption kinetics of alcohol-amine rich solution and establishing corresponding kinetic models are of significant importance for guiding the development and optimization of alcohol-amine absorbents. Using 5 mol/L diethylene glycolamine (DGA) solution enriched with CO
2
(“DGA rich solution” for short) as the target
and a continuous stirred reactor was used to determine their CO
2
desorption rate. The rotating Reynolds number (
Re
r
) and desorption temperature in the reactor were selected as the state parameters to measure the turbulence intensity and temperature in desorption process
respectively
and the kinetic equation for CO
2
desorption of DGA rich solution was fitted. The results indicate that compared to
Re
r
= 0 in reactor
increasing the turbulence intensity (
Re
r
= 20000) can reduce the heat of macroscopic desorption reaction of DGA rich solution by 6.21% and reduce the apparent activation energy by 2.65%. In the intermittent desorption experiments
increasing the turbulence intensity can reduce the CO
2
equilibrium loading of DGA rich solution by 3.82% to 9.16% (rotational speed of 200 r/min as the reference)
and increasing the desorption temperature from 353 K to 372 K can reduce the CO
2
equilibrium loading of DGA rich solution by 34.93% to 39.64%. In the continuous desorption experiments
increasing the turbulence intensity can increase the CO
2
steady-state desorption rate from 6.46% to 79.63% (rotational speed of 200 r/min as the reference)
and increasing the solution desorption temperature from 347 K to 376 K can increase the CO
2
steady-state desorption rate by about 17-fold. The CO
2
desorption kinetics model of DGA rich solution in the desorption temperature range of 347 K to 376 K
Re
r
of 846 to 7789 and CO
2
loading of 1.35 mol/L to 2.68 mol/L is
<math id="M5"><mi>r</mi><mtext> </mtext><mo>=</mo><mtext> </mtext><mn mathvariant="normal">1.53</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">14</mn></mrow></msup><mo>×</mo><mi mathvariant="normal">e</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">p</mi><mfenced separators="|"><mrow><mo>-</mo><mfrac><mrow><mn mathvariant="normal">2.30</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">5</mn></mrow></msup><mo>-</mo><mn mathvariant="normal">1.53</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mo>-</mo><mn mathvariant="normal">5</mn></mrow></msup><mo>×</mo><mi>R</mi><msubsup><mrow><mi>e</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msubsup></mrow><mrow><mn mathvariant="normal">2</mn><mi>R</mi><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">s</mi></mrow></msub></mrow></mfrac></mrow></mfenced><mo>×</mo><msup><mrow><mfenced open="[" close="]" separators="|"><mrow><msub><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi><mo>-</mo><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow></msub><mo>-</mo><mfrac><mrow><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow><mrow><mi>*</mi></mrow></msubsup><mo>×</mo><msup><mrow><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi></mrow><mrow><mi>*</mi></mrow></msubsup></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msup></mrow><mrow><mn mathvariant="normal">6.34</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">24</mn></mrow></msup><mo>×</mo><mi mathvariant="normal">e</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">p</mi><mfenced separators="|"><mrow><mo>-</mo><mfrac><mrow><mn mathvariant="normal">1.74</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mn mathvariant="normal">5</mn></mrow></msup><mo>-</mo><mn mathvariant="normal">2.70</mn><mo>×</mo><msup><mrow><mn mathvariant="normal">10</mn></mrow><mrow><mo>-</mo><mn mathvariant="normal">5</mn></mrow></msup><mo>×</mo><mi>R</mi><msubsup><mrow><mi>e</mi></mrow><mrow><mi mathvariant="normal">r</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msubsup></mrow><mrow><mi>R</mi><msub><mrow><mi>T</mi></mrow><mrow><mi mathvariant="normal">d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">s</mi></mrow></msub></mrow></mfrac></mrow></mfenced></mrow></mfrac></mrow></mfenced></mrow><mrow><mn mathvariant="normal">1.20</mn></mrow></msup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175513&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175467&type=
137.92199707
18.28800011
. Among them
r
is the CO
2
desorption rate
R
is the ideal gas constant
T
des
is the desorption temperature
<math id="M6"><msub><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi><mo>-</mo><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow></msub></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175515&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175514&type=
10.32933331
3.30200005
is the CO
2
loading in DGA rich solution
<math id="M7"><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">C</mi><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></mrow><mrow><mi>*</mi></mrow></msubsup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175517&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175530&type=
5.41866684
3.72533321
is the CO
2
equilibrium concentration in rich DGA solution
<math id="M8"><msubsup><mrow><mi>C</mi></mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">G</mi><mi mathvariant="normal">A</mi></mrow><mrow><mi>*</mi></mrow></msubsup></math>
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175533&type=
https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=102175518&type=
6.18066692
3.30200005
is the concentration of DGA at desorption equilibrium.
FRIEDLINGSTEIN P , O’SULLIVAN M , JONES M W , et al . Global carbon budget 2024 [J ] . Earth System Science Data , 2025 , 17 ( 3 ): 965 - 1039 .
ZHAO X M , LI X Y , LU H F , et al . Predicting phase-splitting behaviors of an amine-organic solvent-water system for CO 2 absorption: A new model developed by density functional theory and statistical and experimental methods [J ] . Chemical Engineering Journal , 2021 , 422 : 130389 .
SHEN Z W , TANG S Y , LU H F , et al . Effect of alcohols on CO 2 absorption, phase splitting, and desorption behaviors of biphasic anhydrous system: The primary amine-tertiary amine of DGA-PMDETA [J ] . Chemical Engineering Science , 2023 , 281 : 119083 .
LIU M L , TANG S Y , MA K , et al . On the role of solid particles in CO 2 bubble nucleation for solvent regeneration of MEA-based CO 2 capture technology [J ] . Greenhouse Gases: Science and Technology , 2019 , 9 ( 3 ): 553 - 566 .
JULIO A A V , CASTRO-AMOEDO R , MARÉCHAL F , et al . Exergy and economic analysis of the trade-off for design of post-combustion CO 2 capture plant by chemical absorption with MEA [J ] . Energy , 2023 , 280 : 128004 .
DENG Q , LING X J , ZHANG K , et al . CCS and CCUS technologies: Giving the oil and gas industry a green future [J ] . Frontiers in Energy Research , 2022 , 10 : 919330 .
李亚清 , 宋沆 , 张玉涛 , 等 . 醇胺法吸收烟道气中二氧化碳的研究进展 [J ] . 低碳化学与化工 , 2024 , 49 ( 10 ): 81 - 91 .
LI Y Q , SONG H , ZHANG Y T , et al . Research progress on absorption of carbon dioxide in flue gas by alcohol amine method [J ] . Low-Carbon Chemistry and Chemical Engineering , 2024 , 49 ( 10 ): 81 - 91
费维扬 , 艾宁 , 陈健 . 温室气体CO 2 的捕集和分离——分离技术面临的挑战与机遇 [J ] . 化工进展 , 2005 , 24 ( 1 ): 1 - 4 .
FEI W Y , AI N , CHEN J . Capture and separation of greenhouse gases CO 2 —The challenge and opportunity for separation technology [J ] . Chemical Industry and Engineering Progress , 2005 , 24 ( 1 ): 1 - 4 .
VEGA F , BAENA-MORENO F M , GALLEGO FERNÁNDEZ L M , et al . Current status of CO 2 chemical absorption research applied to CCS: Towards full deployment at industrial scale [J ] . Applied Energy , 2020 , 260 : 114313 .
刘竞文 , 孙乐乐 , 刘健 , 等 . 有机胺CO 2 吸收液催化解吸研究进展 [J ] . 低碳化学与化工 , 2025 , 50 ( 1 ): 120 - 131 .
LIU J W , SUN L L , LIU J , et al . Research progress on catalytic desorption of organic amine CO 2 absorption liquids [J ] . Low-Carbon Chemistry and Chemical Engineering , 2025 , 50 ( 1 ): 120 - 131 .
MARKEWITZ P , KUCKSHINRICHS W , LEITNER W , et al . Worldwide innovations in the development of carbon capture technologies and the utilization of CO 2 [J ] . Energy & Environmental Science , 2012 , 5 ( 6 ): 7281 - 7305 .
魏青 , 张振涛 , 王瑞祥 , 等 . 醇胺法碳捕集技术的研究进展 [J ] . 环境工程技术学报 , 2025 , 15 ( 1 ): 90 - 99 .
WEI Q , ZHANG Z T , WANG R X , et al . Research progress of carbon capture technology by alcohol amine method [J ] . Journal of Environmental Engineering Technology , 2025 , 15 ( 1 ): 90 - 99 .
GECIM G , OUYANG Y , ROY S , et al . Process intensification of CO 2 desorption [J ] . Industrial & Engineering Chemistry Research , 2023 , 62 ( 45 ): 19177 - 19196 .
JIA R Q , LIANG S , XUE Z Y , et al . Reaction kinetic modeling of carbon dioxide desorption in aqueous amine solutions [J ] . Separation and Purification Technology , 2025 , 359 : 130578 .
高睿扬 . 醇胺溶液吸收CO 2 反应动力学研究进展 [J ] . 当代化工研究 , 2019 , ( 10 ): 181 - 182 .
GAO R Y . Research progress on kinetics of CO 2 absorption by alcoholamine solution [J ] . Modern Chemical Research , 2019 , ( 10 ): 181 - 182 .
COLTON J S , SUH N P . The nucleation of microcellular thermoplastic foam with additives: Part I: Theoretical considerations [J ] . Polymer Engineering and Science , 1987 , 27 ( 7 ): 485 - 492 .
ISHIKAWA H , MIKI T , OKAMOTO M , et al . Gas desorption from liquids: Mass transfer and drag coefficients for single bubbles in free rise through newtonian liquids [J ] . Chemical Engineering Science , 1986 , 41 ( 9 ): 2309 - 2319 .
ZHENG L Y , ZHANG B , LUO Y , et al . Mass transfer dynamics of single CO 2 bubbles rising in monoethanolamine solutions: Experimental study and mathematical model [J ] . Chemical Engineering Journal , 2023 , 465 : 142761 .
ZHENG L Y , GUO Z Y , LIU H , et al . Experimental study on single CO 2 bubbles freely rising in MEA/DEEA blended solutions: Bubble behavior and mass transfer [J ] . Chemical Engineering Science , 2024 , 287 : 119751 .
李伟斌 , 陈健 . 乙醇胺溶液吸收CO 2 动力学实验研究 [J ] . 中国科技论文在线 , 2009 , 4 ( 12 ): 849 - 854 .
LI W B , CHEN J . Kinetics of absorption of CO 2 into aqueous MEA solutions [J ] . Sciencepaper Online , 2009 , 4 ( 12 ): 849 - 854 .
李娜 , 杜少杰 , 张舒宁 , 等 . 新型MDEA-TETA混合胺解吸CO 2 的动力学研究 [J ] . 化学工程 , 2017 , 45 ( 7 ): 65 - 68 .
LI N , DU S J , ZHANG S Net al . Desorption kinetic of CO 2 in mixed amine of MDEA-TETA [J ] . Chemical Engineering (China) , 2017 , 45 ( 7 ): 65 - 68 .
徐莉 , 贾庆 , 侯凯湖 . MDEA-TETA溶液中CO 2 的解吸动力学研究 [J ] . 石油与天然气化工 , 2009 , 38 ( 4 ): 298 - 301+266 .
XU L , JIA Q , HOU K H . Kinetic study of CO 2 desorption from MDEA-TETA solutions [J ] . Chemical Engineering of Oil & Gas , 2009 , 38 ( 4 ): 298 - 301+266 .
CADOURS R , BOUALLOU C , GAUNAND A , et al . Kinetics of CO 2 desorption from highly concentrated and CO 2 -loaded methyldiethanolamine aqueous solutions in the range 312~383 K [J ] . Industrial and Engineering Chemistry Research , 1997 , 36 ( 12 ): 5384 - 5391 .
AL-JUAIED M , ROCHELLE G T . Absorption of CO 2 in aqueous diglycolamine [J ] . Industrial & Engineering Chemistry Research , 2006 , 45 ( 8 ): 2473 - 2482 .
陈健 , 罗伟亮 , 李晗 . 有机胺吸收二氧化碳的热力学和动力学研究进展 [J ] . 化工学报 , 2014 , 65 ( 1 ): 12 - 21 .
CHEN J , LUO W L , LI H . A review for research on thermodynamics and kinetics of carbon dioxide absorption with organic amines [J ] . CIESC Journal , 2014 , 65 ( 1 ): 12 - 21 .
0
浏览量
62
下载量
0
CNKI被引量
关联资源
相关文章
相关作者
相关机构
蜀公网安备51012202001533