Abstract
The excellent heat removal capability of pressurized superfluid helium, He-Ep1–9, has led in recent years to its use as a coolant in fusion10 and accelerator11 magnets where the operating temperature is typically in the range of 1.8 to 2 K. More recently, He-Ep has been proposed as the coolant for a polarized proton target at temperatures as low as 0.5K 12 . In all cases the He-IIp acts as an intermediate fluid between the heat source (magnet winding or target bead) and the heat sink (saturated He-II in the case of the magnets or saturated helium-3 in the case of the polarized proton target). The heat sink fluid may be vaporized in a jacket external to the magnet vessel13, in a heat exchanger which is immersed in the He-IIp14, or in a separate bath in which is immersed an He-IIp filled fin which extends from the heated reservoir. In the latter configuration a single heat sink can serve multiple heat sources15. It is this latter arrangement which is considered here and which is pictured schematically in Fig. 1. We proceed to analyze the flow of heat in the cooled channel. This is in contrast to the considerable work which has been done for the insulated channel.2,16–18
Work supported in part by the Department of Energy, contract DE-AC02-76ER03075
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.A. Madsen, Heat transfer to an unsaturated bath of liquid helium, in “Advances in Cryogenic Engineering Vol. 13,” Plenum Press, New York (1968).
C. Linnet, “Limiting Heat Current Densities of Insulated Vertical Channels in Helium II Under Pressures Between the Saturated Vapor Pressure and 3.3 Atmospheres,” Ph.D. Dissertation, University of California, Los Angeles, Calif., 1971, University Microfilms, Ann Arbor, Michigan, 72–5843.
S. Caspi, and T.H.K. Frederking, Triple-phase phenomena during quenches of superconductors cooled by pressurized superfluid He II, Cryogenics 19:513 (1979).
G. Claudet et al, Superfluid helium for stabilizing superconductors against local disturbances, IEEE Trans. on Magnetics Mag-15:340 (1979).
H. Kobayashi and K. Yasukochi, Maximum and minimum heat flux and temperature fluctuation in film boiling states in superfluid helium, in “Advances in Cryogenic Engineering Vol. 25,” Plenum Press, New York (1980).
H. Kobayashi and K. Yasukochi, A sample configuration effect on the heat transfer from metal surfaces to pressurized He II, in “Proc. 8th Intl. Cryo. Engr. Conf.,” IPC Science and Technology Press, Guildford (1980).
S.W. Van Sciver and R.L. Lee, Heat transfer to helium-II in cylindrical geometries, in “Advances in Cryogenic Engineering Vol. 25,” Plenum Press, New York (1980).
D. Gentile and M.X. Francois, “Heat transfer properties in a vertical channel filled”with saturated and pressurized helium II, Cryogenics 21:234 (1981).
R.P. Warren and S. Caspi, Measurements of heat transfer to He II at atmospheric pressure in a confined geometry, in “Advances in Cryogenic Engineering Vol. 27,” Plenum Press, New York, 1982.
R. Aymar et al, Test of a model coil of TORE SUPRA, IEEE Trans. on Magnetics, Mag-17(l):38 (1981).
C. Taylor et al, Design of epoxy-free superconducting dipole magnets and performance in both helium I and pressurized helium II, IEEE TVans. on Magnetics, Mag-17(5):1571 (1981).
V.W. Hughes and K.P. Schuler, SLAC Proposal E138, “New Measurements of Asymmetries in Polarized Deep Inelastic Scattering”, Yale University, Sept. 1982.
J.C. Lottin, He II experimental facilities at Saclay, in “Advances in Cryogenic Engineering Vol. 27,” Plenum Press, New York, 1982.
R.P. Warren et al, A pressurized helium H-cooled magnet test facility, in “Troc. 8th Intl. Cryo. Engr. Conf.,” IPC Science and Technology Press, Guildford (1980).
J. Adam et al, “Torus II Supra”, Association Euratom-CEA, EUR-CEA-FC-1021, Oct. 1979.
R. Bertman and T.A. Kitchens, Heat transport in superfluid filled capi-laries, Cryogenics 19:36 (1968).
G. Bon Mardion, G. Claudet and P. Seyfert, Steady state heat transfer in superfluid helium at 1 bar in “Proc. 7th Intl. Cryo. Eng. Conf.,” IPC Science and Technology Press, Guildford (1978)
G. Bon Mardion, G. Claudet and P. Seyfert, Steady state heat transfer in superfluid helium at 1 bar, Cryogenics 1:45 (1979).
S.W. Van Sciver and O. Christianson, Heat transport in a long tube of He II, in “Proc. 7th Intl. Cryo. Eng. Conf.,” IPC Science and Technology Press, Guildford (1978).
J. Wilks, “The Properties of Liquid and Solid Helium”, Clarendon Press, Oxford (1963).
F. London and P.R. Zilsel, Heat transfer in liquid helium II by internal convection, Phys.Rev., 74:1148 (1948).
C.J. Gorter and J.H. Mellink, On the irreversible processes in liquid helium H, Physica, 15:285 (1949).
Y. Kamioka, J.M. Lee and T.H.K. Frederking, The Gorter-Mellink constant associated with counterflow convection in pressurized superfluid He II (He4), in “Proc. 9th Intl. Cryo. Engr. Conf.,” IPC Science and Technology Press, Guildford (1982).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Plenum Press, New York
About this chapter
Cite this chapter
Warren, R.P. (1984). Heat Flow in a He II Filled Fin. In: Fast, R.W. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 29. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9865-3_38
Download citation
DOI: https://doi.org/10.1007/978-1-4613-9865-3_38
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-9867-7
Online ISBN: 978-1-4613-9865-3
eBook Packages: Springer Book Archive