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A Simple Modeling Program for Orifice Pulse Tube Coolers

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Cryocoolers 9

Abstract

We have developed a calculational model that treats all the components of an orifice pulse tube cooler. We base our analysis on 1-dimensional thermodynamic equations for the regenerator1 and we assume that all mass flows, pressure oscillations and temperature oscillations are small and sinusoidal. The resulting mass flows and pressures are matched at the boundaries with the other components of the cooler: compressor, aftercooler, cold heat exchanger, pulse tube, hot heat exchanger, orifice and reservoir. The results of the calculation are oscillating pressures, mass flows and enthalpy flows in the main components of the cooler.

By comparing with the calculations of other available models, we show that our model is very similar to REGEN 3 from NIST and DeltaE from Los Alamos National Lab for low amplitudes where there is no turbulence.

Our model is much easier to use than other available models because of its simple graphical interface and the fact that no guesses are required for the operating pressures or mass flows. In addition, the model only requires a minute or so of running time, allowing many parameters to be optimized in a reasonable time.

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References

  1. Roach, Pat R., Kashani, A. and Lee, J. M., “Theoretical Analysis of a Pulse Tube Regenerator”, in Advances in Cryogenic Engineering, vol. 41, p. 1357.

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  2. Kays, W. M. and London, A. L., Compact Heat Exchangers, McGraw-Hill, New York (1955).

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  3. Kornhauser, A. A., “Gas-Wall Heat Transfer During Compression and Expansion”, thesis for Doctor of Science, MIT (1989); also, Kornhauser, A. A. and Smith, J. L. Jr., “Application of a Complex Nusselt Number to Heat Transfer During Compression and Expansion”, J. of Heat Transfer, vol. 116, (1994), pp. 536-542, and Kornhauser, Alan A. and Smith, Joseph L. Jr., “Heat Transfer with Oscillating Pressure and Oscillating Flow”, Proc. 24th Inter society Energy Conversion Engineering Conf, Aug. 6–11, 1989.

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  4. Gary, J., O’Gallagher, A. and Radebaugh, R., A Numerical Model for Regenerator Performance, Technical Report, NIST-Boulder, (1994).

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  5. Ward, W. C. and Swift, G. W., “Design Environment for Low-Amplitude Thermoacoustic Engines”, J. Acoust. Soc. Am., vol. 95, (1994), p. 3671.

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  6. Lee, J. M., Kittel, P., Timmerhaus, K. D. and Radebaugh, R. “Useful Scaling Parameters for the Pulse Tube”, in Advances in Cryogenic Engineering, vol. 41, p. 1347.

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© 1997 Springer Science+Business Media New York

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Roach, P.R., Kashani, A. (1997). A Simple Modeling Program for Orifice Pulse Tube Coolers. In: Ross, R.G. (eds) Cryocoolers 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5869-9_39

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  • DOI: https://doi.org/10.1007/978-1-4615-5869-9_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7691-0

  • Online ISBN: 978-1-4615-5869-9

  • eBook Packages: Springer Book Archive

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