Cryocoolers 8 pp 371-381 | Cite as

A Model for Analyzing Ideal Double Inlet Pulse Tube Refrigerators

  • A. Hofmann
  • S. Wild


The analysis starts with considerations for optimizing the flow rates applied to both ends of an ideal gas double inlet pulse tube with cold and warm end temperatures T c and T w . It is argued that operation with periodic gas flows having equal voluminal amplitudes and finite phase shift is advantageous. In this case, the temperature in the adiabatically cycled gas column proves to rise exponentially from T c to T w , and in small amplitude approximation, this temperature distribution is constant in time.

In the next step, the paper presents a numerical procedure and also an analytical solution to calculate the gross refrigeration power as well as the instantaneous heat flows at different positions of such systems. Additionally, the swept volumes and the work of both warm end compressors and also the displacements of the gas within the pulse tube are calculated as functions of pulse tube volume, regenerator dead volume, temperature, pressure, phase shift and others. The numerical procedure is applicable to arbitrary wave forms of the gas flows. Examples are given for harmonic and for rectangular wave forms.


Void Volume Pulse Tube Instantaneous Heat Pulse Tube Refrigerator Cold Heat Exchanger 
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  1. 1.)
    Y. Ishizaki and E. Ishizaki, “Experimental performance of modified pulse tube refrigeration below 80 K down to 23 K”, Proc. of the 7th Cryocooler Conference, Santa Fee, 1992, p. 140.Google Scholar
  2. 2.)
    P. J. Storch, R. Radebaugh, and J. E. Zimmermann, “Analytical Model for the Refrigeration Power of the Orifice Pulse Tube Refrigerator”, NIST Report, Technical Note 1343, Dec. 1990.Google Scholar

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • A. Hofmann
    • 1
  • S. Wild
    • 2
  1. 1.Institut für Technische PhysikKernforschungszentrum KarlsruheKarlsruheGermany
  2. 2.Inst. f. Technische Thermodynamik und KältetechnikUniversity Karlsruhe (TH)KarlsruheGermany

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