Transverse temperature distributions and heat generation rate in composite conductors subjected to a constant thermal disturbance

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Description

Analytical solution of one-dimensional, transient heat conduction with distributed heat source is obtained to predict the transverse temperature distribution and heat generation rate per unit volume of the composite conductor. The solution indicates that the temperature distribution and the heat generation rate depend on three dimensionless parameters; the dimensionless external disturbance w{sub 0}, the dimensionless interface temperature {theta}{sup *}, and the dimensionless parameter {phi} which depends on the thickness and the thermal conductivity of the superconductor. Results of the transient and steady-state solution are presented. It is shown that the heat generation rate per unit volume of the composite Q/Q{sub ... continued below

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31 p.

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Cha, Y.S. April 1, 1994.

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Description

Analytical solution of one-dimensional, transient heat conduction with distributed heat source is obtained to predict the transverse temperature distribution and heat generation rate per unit volume of the composite conductor. The solution indicates that the temperature distribution and the heat generation rate depend on three dimensionless parameters; the dimensionless external disturbance w{sub 0}, the dimensionless interface temperature {theta}{sup *}, and the dimensionless parameter {phi} which depends on the thickness and the thermal conductivity of the superconductor. Results of the transient and steady-state solution are presented. It is shown that the heat generation rate per unit volume of the composite Q/Q{sub c} is directly proportional to the current in the stabilizer. The dimensionless total internal generation rate w{sub t} in the superconductor is shown to reach a maximum at Q/Q{sub c} = 0.5 because w{sub t} depends on two competing factors, the current in the superconductor and the electric field strength which is proportional to the current in the stabilizer. The result of the present analysis reduces to a known steady-state solution in the absence of an external disturbance. Limitations of the present analytical model are discussed.

Physical Description

31 p.

Notes

OSTI as DE96006947

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  • Other Information: PBD: Apr 1994

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  • Other: DE96006947
  • Report No.: ANL/ET/PP--82984
  • Grant Number: W-31109-ENG-38
  • DOI: 10.2172/207576 | External Link
  • Office of Scientific & Technical Information Report Number: 207576
  • Archival Resource Key: ark:/67531/metadc668296

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • April 1, 1994

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Dec. 15, 2015, 6:48 p.m.

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Cha, Y.S. Transverse temperature distributions and heat generation rate in composite conductors subjected to a constant thermal disturbance, report, April 1, 1994; Illinois. (digital.library.unt.edu/ark:/67531/metadc668296/: accessed October 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.