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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

邮发代号 80-972

2019 Impact Factor: 2.657

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Frontiers in Energy  2019, Vol. 13 Issue (3): 450-463   https://doi.org/10.1007/s11708-018-0569-8
  本期目录
Theoretical modeling and experimental verifications of the single-compressor-driven three-stage Stirling-type pulse tube cryocooler
Haizheng DANG1(), Dingli BAO2, Zhiqian GAO3, Tao ZHANG2, Jun TAN1, Rui ZHA2, Jiaqi LI2, Ning LI1, Yongjiang ZHAO2, Bangjian ZHAO2
1. State Key Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China
2. State Key Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China; University of Chinese Academy of Sciences, Beijing 100049, China
3. Institute of Fundamental and Frontier Technology, Midea Refrigerator Co., Ltd., Hefei 230601, China
 全文: PDF(2486 KB)   HTML
Abstract：

This paper establishes a theoretical model of the single-compressor-driven (SCD) three-stage Stirling-type pulse tube cryocooler (SPTC) and conducts experimental verifications. The main differences between the SCD type and the multi-compressor-driven (MCD) crycooler are analyzed, such as the distribution of the input acoustic power in each stage and the optimization of the operating parameters, in which both advantages and difficulties of the former are stressed. The effects of the dynamic temperatures are considered to improve the accuracy of the simulation at very low temperatures, and a specific simulation example aiming at 10 K is given in which quantitative analyses are provided. A SCD three-stage SPTC is developed based on the theoretical analyses and with a total input acoustic power of 371.58 W, which reaches a no-load temperature of 8.82 K and can simultaneously achieve the cooling capacities of 2.4 W at 70 K, 0.17 W at 25 K, and 0.05 W at 10 K. The performance of the SCD three-stage SPTC is slightly poorer than that of its MCD counterpart developed in the same laboratory, but the advantages of lightweight and compactness make the former more attractive to practical applications.
Key words： single-compressor-driven    three-stage    Stirling-type pulse tube cryocooler    theoretical modeling    experimental verification
收稿日期: 2018-02-10      出版日期: 2019-09-04
Corresponding Author(s): Haizheng DANG   
 引用本文:   
. [J]. Frontiers in Energy, 2019, 13(3): 450-463.
Haizheng DANG, Dingli BAO, Zhiqian GAO, Tao ZHANG, Jun TAN, Rui ZHA, Jiaqi LI, Ning LI, Yongjiang ZHAO, Bangjian ZHAO. Theoretical modeling and experimental verifications of the single-compressor-driven three-stage Stirling-type pulse tube cryocooler. Front. Energy, 2019, 13(3): 450-463.
 链接本文:  
https://academic.hep.com.cn/fie/CN/10.1007/s11708-018-0569-8
https://academic.hep.com.cn/fie/CN/Y2019/V13/I3/450
Fig.1  
The first stage The second stage The third stage
Regenerator Diameter F30.3 mm × 0.2 mm F24.8 mm × 0.2 mm F19.5 mm × 0.2 mm
Length 55.0 mm 76.4 mm 98.2 mm
Matrix #400 SS 40% #400 SS
+ 60% Lead		 45% #400 SS+ 25% Lead+ 30% Er3Ni
Hot heat exchanger Diameter 30.3 mm 24.8 mm 19.5 mm
Length 15.2 mm 13.2 mm 10.8 mm
Cold heat exchanger Diameter 30.3 mm 24.8 mm 19.5 mm
Length 7.3 mm 6.7 mm 5.1 mm
Tab.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
The first stage The second stage The third stage Total
|U?i|/( × 10-4 m3/s) 11.26 7.37 5.27 23.61
qui/(°) 9.76 23.16 31.28 18.63
|pdi|/kPa 273 273 273 273
qpi/(°) 0 0 0 0
Dqi/(°) -9.76 -23.16 -31.28 -18.63
W/W 219.57 91.37 60.64 371.58
Tab.2  
Fig.6  
Fig.7  
Fig.8  
Fig.9  
Fig.10  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
Fig.15  
A Area/m2
c Specific heat/(J?kg?1?K?1)
Cf Compressibility factor
E Ratio of dynamic temperature between gas and matrix
f Frequency/Hz
F New defined parameter (kg/m?s2)
g Variation coefficient for volume flow rate caused by temperature gradient/m?1
hgs Convective heat transfer coefficient between gas and solid/(W?m?2?K?1)
H Enthalpy flow/J
p Pressure/Pa
pd Dynamic pressure/Pa
ps Charge pressure/Pa
Q Heat/W
Qc Cooling capacity/W
Qg Gross cooling capacity/W
Qp Precooling capacity/W
Qt Total cooling capacity/W
rg Flow resistance per unit length/(kg?m?5?s?1)
rh Hydraulic radius/m
R Ideal gas constant/(J? kg?1?K?1)
Rv Viscous resistance/(kg?s?4?s?1)
S Entropy/(J?K?1)
Sg Entropy generation/(J?K?1)
t Time/s
T Temperature/K
u Gas velocity/(m?s?1)
U? Volume flow rate/(m3?s?1)
W Acoustic power/W
Greek symbols
β Specific surface area/m?1
γ Specific heat ratio
dv Viscous penetration depth/m
η Heat conduction efficiency
θ Angle/rad
λ Thermal conductivity/(W?m?1?K?1)
m Viscosity/(Pa?s)
Porosity
Perimeter/m
r Density/(kg?m?3)
ω angular frequency/(rad?s?1)
Subscripts
c Cold end of the regenerator
g Gas
h Hot end of the regenerator
i Inner part
m Mean value
s Solid
w Wall
  
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