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Geometry dependence of steady-state heat flow in He II

✍ Scribed by J.M. Pfotenhauer

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
506 KB
Volume
32
Category
Article
ISSN
0011-2275

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✦ Synopsis

The Gorter-Mellink equation of steady-state heat transfer in He II is used to develop a method of calculating the peak heat flux for a magnet cooled in a bath of He II. It is shown that the equivalent thermal resistance of a series or parallel arrangement of linear cooling channels is given by ReQ = f(T)ll3geq where f(T) is the inverse of the heat conductivity function and geq is the equivalent geometry factor respectively defined for series or parallel channels as gs = (T:'g 3)1/3 and gp = [r,(1/gi) ] -1. Here gi = Lil/3/Ai where L and A are the channel length and cross-sectional area respectively. The peak heat flux is given by q* = Z(Tb)/(Aogeq) where Z(T b) is the integrated heat conductivity function. Specific forms of the peak heat flux are developed for three different winding geometries: a simple pancake-wound magnet, a layer-wound magnet, and a multiply connected coil pack.

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