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Research Papers

Analytic Thermal Design of Bitter-Type Solenoids

[+] Author and Article Information
W. J. Birmingham

Dusty Plasma Laboratory,
Mechanical Engineering Department,
University of Maryland Baltimore County,
Baltimore, MD 21250
e-mail: birming2@umbc.edu

E. M. Bates

Dusty Plasma Laboratory,
Mechanical Engineering Department,
University of Maryland Baltimore County,
Baltimore, MD 21250
e-mail: evbates1@umbc.edu

C. A. Romero-Talamás

Dusty Plasma Laboratory,
Mechanical Engineering Department,
University of Maryland Baltimore County,
Baltimore, MD 21250
e-mail: romero@umbc.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received March 2, 2015; final manuscript received October 9, 2015; published online December 4, 2015. Assoc. Editor: Giulio Lorenzini.

J. Thermal Sci. Eng. Appl 8(2), 021008 (Dec 04, 2015) (8 pages) Paper No: TSEA-15-1139; doi: 10.1115/1.4031888 History: Received March 02, 2015; Revised October 09, 2015

We describe an analytic approach to designing axially water-cooled Bitter-type electromagnets with an emphasis on heat dissipation considerations. The design method here described aims to enhance the efficiency of the design process by minimizing the role of finite element analysis (FEA) software. A purely analytic design optimization scheme is prescribed for establishing the cooling hole placement. FEA software is only used to check the accuracy of analytic predictions. The analytic method derived in this paper predicts the required heat dissipation rate by approximating the volumetric joule heating profile with a smooth, continuous profile. Equations for turbulent convective heat transfer in circular ducts are generalized to model the cooling capacity of elongated cooling passages. This method is currently in use at the University of Maryland Baltimore County Dusty Plasma Laboratory to design a Bitter magnet capable of generating fields of 10 T.

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References

Figures

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Fig. 3

Polar lattice divisions with cooling channel ring locations defined by rm

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Fig. 2

Elongated (left) and circular (right) cooling channels

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Fig. 1

Example cooling hole pattern currently under consideration. The bore diameter is 16 cm and the outer diameter is 55.9 cm.

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Fig. 4

Joule heating profile predictions for a copper coil given 4200 A-10 hole path

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Fig. 5

Joule heating profile predictions for a copper coil given 4200 A-19 hole path

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Fig. 6

Radial line elements intersecting 19 and 10 holes

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Fig. 8

Segment divisions within one polar rectangle lattice cell

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Fig. 7

R squared of the joule heat profile (evaluated with Eq.on a logarithmic scale) versus applied current

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Fig. 10

Segment 3 divided into approximating sections

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Fig. 11

Parameters of the ith segment (the lightly shaded region denotes a representation of the ith segment)

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