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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Dixon, I. , Bird, M. D. , and Bole, S. , 2002, “ End Effects in the NHMFL 45 T Hybrid Resistive Insert,” IEEE Trans. Appl. Supercond., 12(1), pp. 452–455. [CrossRef]
Brechna, H. , and Montgomery, D. B. , 1962, “ A High Performance D.C. Magnet Utilizing Axial Cooled Disks,” NML, 62(1), pp. 1–44.
Bitter, F. , 1936, “ Design of Powerful Electromagnets: Part II—The Magnetizing Coil,” Rev. Sci. Instrum., 7(12), pp. 482–488. [CrossRef]
Bird, M. D. , Bole, S. , Eyssa, Y. M. , Gao, B. J. , and Schneider-Muntau, H. J. , 1996, “ Design of a Poly-Bitter Magnet at the NHMFL,” IEEE Trans. Magn., 32(4), pp. 2542–2545. [CrossRef]
Gao, B. , Schneider-Muntau, H. , Eyssa, Y. , and Bird, M. , 1996, “ A New Concept in Bitter Disk Design,” IEEE Trans. Magn., 32(4), pp. 2503–2506. [CrossRef]
Montgomery, D. B. , 1969, Solenoid Magnet Design: The Magnetic and Mechanical Aspects of Resistive and Superconducting Systems, Wiley-Interscience, New York, Chap. 4.
Bird, M. D. , 2004, “ Resistive Magnet Technology for Hybrid Inserts,” Supercond. Sci. Technol., 17(8), pp. R19–R33. [CrossRef]
Hicks, C. R. , and Turner, K. V. , 1999, Fundamental Concepts in the Design of Experiments, 5th ed., Oxford University Press, New York, Chap. 3.
Sukhatme, S. P. , 2005, A Textbook on Heat Transfer, 4th ed., Universities Press, Hyderabad, India, Chap. 5.
Chapman, A. J. , 1984, Heat Transfer, 4th ed., Macmillian, New York, Chap. 8. [PubMed] [PubMed]
Kays, W. M. , and Crawford, M. E. , 1993, Convective Heat and Mass Transfer, 3rd ed., McGraw-Hill, New York, Chap. 14.
Munson, B. R. , Okiishi, T. H. , Huebsch, W. W. , and Rothmayer, A. P. , 2013, Fundamentals of Fluid Mechanics, 7th ed., Wiley, New York, Chap. 8.
Granger, R. A. , 1985, Fluid Mechanics, CBS College Publishing, New York, Chap. 10.
Babatola, J. , Oguntuase, A. , Oke, I. , and Ogedengbe, M. , 2008, “ An Evaluation of Frictional Factors in Pipe Network Analysis Using Statistical Methods,” Environ. Eng. Sci., 25(4), pp. 539–547. [CrossRef]
Scap, D. , Hoić, M. , and Jokzć, A. , 2013, “ Determination of the Pareto Frontier for Multi-Objective Optimization Problem,” Trans. FAMENA, 37(2), pp. 15–28.
Wolfram, S. , 2012, “ Mathematica 9.”
Brady, G. S. , and Clauser, H. R. , 1991, Materials Handbook Part 1, 13th ed., McGraw-Hill, New York.


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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. 2

Elongated (left) and circular (right) cooling channels

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Fig. 3

Polar lattice divisions with cooling channel ring locations defined by rm

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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. 7

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

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Fig. 8

Segment divisions within one polar rectangle lattice cell

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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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