Abstract
Pulse Tube Refrigeration is considered as an appropriate refrigeration technology for the space, military, and other industries, leading to extensive studies on increasing and optimizing its thermodynamic efficiency. By controlling the phase difference between pressure and mass flow rate, the acoustic power of a pulse tube can be reduced. In this study, electrical analogy for thermodynamic properties is used, which iteratively computes the compliance, inertance, and resistance of the inertance tube by discretization of the tube in a large number of nodes. The numerical model is further validated by the existing published experimental results. In order to get required phase shift from inertance tube, the geometry is optimized and further effect of a varied cross-sectional tube is studied that leads to lower acoustic power.
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Abbreviations
- Ri:
-
Resistance of ith node [ohm]
- Ci:
-
Capacitance of ith node [F]
- Ii:
-
Inertance of ith node [H]
- T:
-
Average temperature [K]
- ρ:
-
Density of helium [kg/m3]
- L:
-
Length of the tube [m]
- ω:
-
Operating frequency [rad/s]
- \(\gamma \) :
-
Ratio of specific heat
- s:
-
Series connection
- p:
-
Parallel connection
- P:
-
Mean pressure [Bar]
- Vres:
-
Reservoir volume [m3]
- W:
-
Acoustic power [W]
- \(\dot{m}\) :
-
Mass flow rate [kg/s]
- Θm:
-
Inlet phase of mass flow [deg]
- Rent:
-
Resistance due to entrance [\(\Omega \)]
- Pa:
-
Pressure amplitude [Bar]
References
Mikulin EI, Tarasov AA, Shrebyonock MP (1984) Low-temperature expansion pulse tube. Adv Cryog Eng 29:629–637
Zhu S, Wu P, Chen Z (1990) Double inlet pulse tube refrigerators: an important improvement. Cryogenics 30:514–520
Kanao K, Watanabe N, Kanazawa Y (1994) A miniature pulse tube refrigerator for temperature below 100 K. Cryogenics 34(supplement):167
De Boer PCT (2002) Performance of the inertance pulse tube. Cryogenics 42:209–221
Luo E, Radebaugh R, Lewis M (2004) Inertance tube models and their experimental verification. In: AIP conference proceedings, vol 710, no 1. American Institute of Physics
Radebaugh R et al (2006) Inertance tube optimization for pulse tube refrigerators. In: AIP conference proceedings, vol 823, no 1. American Institute of Physics
Swift GW (200) Thermoacoustics: a unifying perspective for some engines and refrigerators. Condensed Matter and Thermal Physics Group, Los Alamos National Laboratory
Xiao JH (1995) Thermoacoustic heat transportation and energy transformation Part 1: formulation of the problem. Cryogenics 35(1):15–19
Klein SA, Alvarado FL (2002) EES—engineering equation solver, F-Chart Software
Ali S (2001) Pressure drop correlations for flow through regular helical coil tubes. Fluid Dyn Res 28(4):295
Acknowledgements
The authors are grateful to Director and Technology Development Committee-SAC, ISRO, for their encouragement and support.
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Srivastava, S., Agarwal, G., Ahmad, N., Patel, N., Joshi, S.R., Modi, B.A. (2024). Optimization of Phase Shift Mechanism in Pulse Tube Cryocooler. In: Das, S., Mangadoddy, N., Hoffmann, J. (eds) Proceedings of the 1st International Conference on Fluid, Thermal and Energy Systems . ICFTES 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-99-5990-7_44
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DOI: https://doi.org/10.1007/978-981-99-5990-7_44
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