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Minimization of Refrigeration Power for Large Cryogenic Systems

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Advances in Cryogenic Engineering

Part of the book series: Advances in Cryogenic Engineering ((ACRE,volume 35 A))

Abstract

Some cryogenic systems, such as superconducting magnetic energy storage and superconducting generators, require load-bearing supports to transfer forces to a room temperature (warm) structure. It is necessary to minimize the refrigeration power required to overcome heat leaks through the supports in order to improve system efficiency.

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Abbreviations

A :

= strut cross-sectional area

A 0 :

= strut cross-sectional area at room temperature

C :

= efficiency constant

D i :

= mathematical expression to be used with equation (18) of reference [1].

F :

= force

L :

= strut length

T :

= temperature

T C :

= cold-end temperature

T H :

= hot-end temperature

Q C :

= heat conducted to cold end

C P :

= helium specific heat

k :

= thermal conductivity

m :

= total helium mass flow rate

m c :

= helium mass flow rate to the support

s :

= length variable

x :

= liquefied fraction

σ n :

= normalized stress to room temperature value

σ 0 :

= allowable stress at room temperature

λ :

= heat of vaporization

References

  1. M. Hilal and R. W. Boom, in Advances in Cryogenic Engineering, Vol. 22, Plenum Press, New York (1977), p. 224.

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  2. A. Bejan and J. L. Smith Jr., Cryogenics 14(3):158 (1974).

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  3. A. Bejan and J. L. Smith Jr., in Advances in Cryogenic Engineering, Vol. 21, Plenum Press, New York (1976), p. 247.

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  4. A. Bejan, Cryogenics 15(5):290 (1975).

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  5. M. Hilal, Cryogenics 19(7):415 (1979).

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  6. J. Brooks and R. Donnelly, “The Calculated Properties of Helium II,” Tech. Report, The Institute of Theoretical Science, University of Oregon, Eugene, Oregon (1973).

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  7. M. D. Campbell, “Thermophysical Properties of Plastic Materials and Composites to Liquid Hydrogen Temp. (-423°F),” ML-TDR-64–33, Part III, Air Force Material Laboratory, Wright-Patterson Air Force Base, Ohio (August 1965).

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© 1980 Springer Science+Business Media New York

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Hilal, M.A., Eyssa, Y.M. (1980). Minimization of Refrigeration Power for Large Cryogenic Systems. In: Timmerhaus, K.D., Snyder, H.A. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 35 A. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9856-1_41

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  • DOI: https://doi.org/10.1007/978-1-4613-9856-1_41

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-9858-5

  • Online ISBN: 978-1-4613-9856-1

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