A semi-analytic solution for the heat transfer process between a He II pressurized bath and a saturated tube-type heat exchanger is presented. The problem is modeled with an extended surface heat transfer formulation analogous to that in conventional conduction. The process is governed by Kapitza conductance and counterflow within the bulk fluid in the tube. The resulting nonlinear differential equation may be integrated for the special case of constant properties, yielding a simple solution applicable to design and analysis of practical heat exchangers.
Issue Section:
Heat Transfer Enhancement
1.
Bon Mardion
G.
Claudet
G.
Seyfert
P.
Verdier
J.
1977
, “He II in Low Temperature and Superconductive Magnet Engineering
,” Advances in Cryogenic Engineering
, Vol. 23
, pp. 358
–362
.2.
Bon Mardion
G.
Claudet
G.
Seyfert
P.
1979
, “Practical Data on Steady State Heat Transport in Superfluid Helium at Atmospheric Pressure
,” Cryogenics
, Vol. 19
, p. 45
45
.3.
Linnet
C.
Frederking
T. H. K.
1975
, “Thermal Conditions at the Gorter Mellink Counterflow Limit between 0.01 and 3 Bar
,” Journal Low Temp. Phys.
, Vol. 21
, pp. 449
–462
.4.
Huang
Y.
Van Sciver
S. W.
1996
, “Forced Flow He II Heat Exchangers
,” Cryogenics
, Vol. 36
, pp. 535
–46
.5.
Incropera, F. P., and Dewitt, D. P., 1990, Fundamentals of Heat and Mass Transfer, John Wiley and Sons, New York, Chapter 3.
6.
Kapitza
P. L.
1941
, “The Study of Heat Transfer on Helium II
,” Journal of Physics (USSR)
, Vol. 4
, p. 181
181
.7.
Pfotenhauer
J. M.
1992
, “Design Issues for a Superfluid Helium Subcooler
,” Heat Transfer and Superconducting Magnetic Energy Storage
, ASME HTD-Vol. 211
, pp. 33
–38
.8.
Pollack
G. L.
1969
, “Kapitza Resistance
,” Reviews of Modern Physics
, Vol. 41
, p. 48
48
.9.
Shajii
A.
Huang
Y.
Daugherty
M.
Witt
R.
Van Sciver
S. W.
1990
, “Design and Performance of Forced Flow He II Heat Exchangers
,” Advances in Cryogenic Engineering
, Vol. 35
, pp. 1165
–1172
.10.
Snyder
N. S.
1970
, “Heat Transport through Helium II-Kapitza Conductance
,” Cryogenics
, Vol. 10
, p. 89
89
.11.
Van Sciver
S. W.
1978
, “Kapitza Conductance of Aluminum and Heat Transport Through Subcooled He II
,” Cryogenics
, Vol. 18
, pp. 521
–527
.12.
Van Sciver, S. W., 1986, Helium Cryogenics, Plenum Press, New York.
13.
Van Sciver, S. W., and Welton, S. J., 1996, “Analysis and Characterization of Saturated Bath Heat Exchangers,” 1996 Proceedings ICEC16/ICMC, Kitakushu, Japan, Elsevier, New York, pp. 527–530.
14.
Warren
R. P.
1984
, “Heat Flow in a He II Filled Fin
,” Advances in Cryogenic Engineering
, Vol. 29
, pp. 335
–342
.15.
Welton
S. J.
1996
, “Design, Development and Testing of the JT Refrigerators for the 45-T Hybrid Magnet
,” Advances in Cryogenic Engineering
, Vol. 41
, pp. 1283
–1290
.16.
Welton, S.J., Bartholomew, K., Homans, M., and Van Sciver, S.W., 1998, ’ ’Heat Transport in Saturated He II with Surface Heat Transfer in the Turbulent Counterflow Regime,” Advances in Cryogenic Engineering, Vol. 43, to be published.
This content is only available via PDF.
Copyright © 1999
by The American Society of Mechanical Engineers
You do not currently have access to this content.
