针对一台双作用斯特林热机,通过SAGE计算以及Runge-Kutta法和线性插值等后处理过程,对内部气体微团进行热力求解,最终得到由欧拉观点转化为拉格朗日观点的热力结果。研究表明,斯特林热机回热器内部各气体微团独自运行于不同的热力过程,气体微团间互相接力,实现宏观上发动机的热功转换功能,其热力循环的包络线近似于2个等压过程和2个等温过程的组合。同时,研究实际机型的气体微团运行机理和热力过程,并从数值上验证斯特林循环与概括性卡诺循环的相互关系,为斯特林热机的设计与分析提供一定的理论基础。
Abstract
In this paper, for a double-acting Stirling heat engine, the thermal solution of the internal gas parcels is carried out through SAGE calculation, Runge-Kutta method, and linear interpolation post-processing processes, and finally the thermal solution results are converted from the Eulerian view to the Lagrangian view. The research results show that each gas parcel in the Stirling heat engine regenerator operates independently in different thermal processes, and the gas parcels relay with each other, realizing the macro engine thermal power conversion function. The envelope of the thermal cycle is similar to the combination of two isobaric processes and two isothermal processes. At the same time, this paper studies the operation mechanism and thermal process of the actual model of the gas parcel and verifies the relationship between the Stirling cycle and the generalized Carnot cycle from a numerical point of view, which provides a theoretical basis for the design and analysis of the Stirling heat engine.
关键词
斯特林热机 /
斯特林循环 /
Runge-Kutta法 /
运行机理 /
概括性卡诺循环
Key words
Stirling engine /
Stirling cycle /
Runge Kutta method /
operating mechanism /
generalized Carnot cycle
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 葛维春, 程珊珊, 孙鹏, 等. 电、煤锅炉联合供暖消纳弃风策略及效益分析[J]. 太阳能学报, 2019, 40(4): 986-994.
GE W C, CHENG S S, SUN P, et al.Wind power accommodation strategy and benefit analysis of combined heating of electric and coal boilers[J]. Acta energiae solaris sinica, 2019, 40(4): 986-994.
[2] 赵明智, 段佩瑶, 常春, 等. 太阳能辐射资源计算分析与特性模拟方法[J]. 太阳能学报, 2023, 44(3): 22-28.
ZHAO M Z, DUAN P Y, CHANG C, et al.Calculation analysis and characteristic simulation method of solar radiation resources[J]. Acta energiae solaris sinica, 2023, 44(3): 22-28.
[3] 邱浩, 王树林, 肖刚. 斯特林发动机瞬态模型及特性分析[J]. 太阳能学报, 2022, 43(4): 277-282.
QIU H, WANG S L, XIAO G.Transient model and characteristic analysis of Stirling engine[J]. Acta energiae solaris sinica, 2022, 43(4): 277-282.
[4] 罗靖, 陈燕燕, 胡剑英, 等. 自由活塞斯特林机动子运动阻尼特性研究[J]. 太阳能学报, 2022, 43(8): 230-235.
LUO J, CHEN Y Y, HU J Y, et al.Research on damping characteristics of movers in free piston Stirling engines[J]. Acta energiae solaris sinica, 2022, 43(8): 230-235.
[5] 段晨, 国占东, 常华伟, 等. 菱形传动斯特林发动机的相似设计及实验研究[J]. 太阳能学报, 2018, 39(4): 946-951.
DUAN C, GUO Z D, CHANG H W, et al.Similar design and experimental study of diamond shape transmission Stirling engine[J]. Acta energiae solaris sinica, 2018, 39(4): 946-951.
[6] IMPERO ABENAVOLI R, CARLINI M, KORMANSKI H, et al.Nondimensional Schmidt analysis for optimal design of Stirling engines[J]. Journal of engineering for gas turbines and power, 1996, 118(1): 8-14.
[7] CHI C Y, MOU J, LIN M Q, et al.CFD simulation and investigation on the operating mechanism of a beta-type free piston Stirling engine[J]. Applied thermal engineering, 2020, 166: 114751.
[8] 罗二仓, 戴巍, 吴张华, 等. 交变流动热机的介观热力循环理论: 第一部分制冷机回热器的介观热力循环模型及分析[J]. 低温工程, 2004(1): 1-11.
LUO E C, DAI W, WU Z H, et al.Meso-scope thermodynamic theory for cyclic flow engines: part I: meso-scope thermodynamic model for cyclic flow regenerator[J]. Gryogenics, 2004(1): 1-11.
[9] 罗二仓, 戴巍, 吴张华, 等. 交变流动热机的介观热力循环理论: 第二部分: 发动机回热器的介观热力循环模型及分析[J]. 低温工程, 2004(2): 1-10.
LUO E C, DAI W, WU Z H, et al.Meso-scope thermodynamic theory for cyclic flow engines:part Ⅱ:meso-scope thermodynamic model for a cyclic flow regenerator of prime movers[J]. Gryogenics, 2004(2): 1-10.
[10] 牟健, 林明嫱, 池春云, 等. 自由活塞斯特林发动机相位特性[J]. 华中科技大学学报(自然科学版), 2019, 47(7): 56-61.
MOU J, LIN M Q, CHI C Y, et al.The phase characteristics of free piston Stirling engine[J]. Journal of Huazhong University of Science and Technology(natural science edition), 2019, 47(7): 56-61.
[11] 贾子龙, 胡剑英, 张丽敏, 等. 自由活塞斯特林发电机输出特性研究[J]. 工程热物理学报, 2020, 41(9): 2134-2138.
JIA Z L, HU J Y, ZHANG L M, et al.Research on output characteristics of free-piston Stirling generator[J]. Journal of engineering thermophysics, 2020, 41(9): 2134-2138.
[12] 孙岩雷. 新型自由活塞热驱动热声热(冷)电联供系统的理论及实验研究[D]. 北京: 中国科学院大学, 2021.
SUN Y L.Theoretical and experimental study on a new type of thermoacoustic combined heat (cooling) power supply system driven by free piston heat[D].Beijing: University of Chinese Academy of Sciences, 2021.
[13] EL-GHAFOUR S A, EL-GHANDOUR M, MIKHAEL N N. Three-dimensional computational fluid dynamics simulation of Stirling engine[J]. Energy conversion and management, 2019, 180: 533-549.
[14] ZHU S M, YU G Y, JONGMIN O, et al.Modeling and experimental investigation of a free-piston Stirling engine-based micro-combined heat and power system[J]. Applied energy, 2018, 226: 522-533.
[15] 王思. 斯特林发动机回热器流动与传热特性研究[D]. 武汉: 华中科技大学, 2018.
WANG S.Research on flow and heat transfer characteristics of Stirling engine regenerator[D]. Wuhan: Huazhong University of Science and Technology, 2018.
[16] GEDEON D.Sage version 10: user's manual[M]. Gedeon Associates, 2014.
[17] JIA Z L, WANG R Y, HU J Y, et al.Study on the coupling between engine and alternator in a free-piston Stirling generator[J]. Applied thermal engineering, 2022, 217: 119222.
[18] 田风华. 关于标准四阶龙格-库塔法的收敛性与稳定性的讨论[J]. 辽宁教育学院学报, 2003, 20(6): 57-58.
TIAN F H.Discussion on convergence and stability of standard fourth-order Runge-Kutta method[J]. Journal of Liaoning Educational Administration Institute, 2003, 20(6): 57-58.
基金
国家自然科学基金（51976230）; 中科院先导A项目（XDA21080300）
PDF(2300 KB)
