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Appl. Sci. 2017, 7(6), 553; doi:10.3390/app7060553

Modeling of Heat Transfer and Oscillating Flow in the Regenerator of a Pulse Tube Cryocooler Operating at 50 Hz

1
State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China
2
Xi’an Jiaotong University Su Zhou Academy, Suzhou 215123, China
*
Author to whom correspondence should be addressed.
Academic Editor: Artur J. Jaworski
Received: 4 April 2017 / Revised: 19 May 2017 / Accepted: 22 May 2017 / Published: 5 June 2017
(This article belongs to the Special Issue Heat Transfer Processes in Oscillatory Flow Conditions)
View Full-Text   |   Download PDF [5421 KB, uploaded 5 June 2017]   |  

Abstract

The regenerator of the pulse tube refrigerator (PTR) operates with oscillating pressure and mass flow, so a proper description of the heat transfer characteristics of the oscillating flow in the regenerator is crucial. In this paper, a one-dimensional model based on Lagrangian representation is developed to simulate the oscillating flow in the regenerator of the PTR. The continuity equation, momentum equation and energy equation are solved iteratively using the SIMPLER algorithm. The Darcy-Brinkman-Forchheimer model is used in the momentum equation, and a thermal non-equilibrium model is implemented in the energy equation. Lagrangian representation is employed to describe the thermodynamics of fluid parcels while the Eulerian representation (control volume method) is adopted for the energy equation of the solid matrix. The boundary conditions are set as the periodic flow of the sine function. The thermodynamic parameters of the gas parcels are obtained, which reveal the critical processes of the heat transfer in the regenerator under oscillating flow. The performance of the regenerator with different geometries is evaluated based on the numerical results. The present study provides insight for better understanding the physical process in the regenerator of the PTR, and the proposed model serves as a useful tool for the design and optimization of the cryogenic regenerator. View Full-Text
Keywords: regenerator; oscillating flow; pulse tube cryocooler; ineffectiveness regenerator; oscillating flow; pulse tube cryocooler; ineffectiveness
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Liu, X.; Chen, C.; Huang, Q.; Wang, S.; Hou, Y.; Chen, L. Modeling of Heat Transfer and Oscillating Flow in the Regenerator of a Pulse Tube Cryocooler Operating at 50 Hz. Appl. Sci. 2017, 7, 553.

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