Transverse temperature distributions and heat generation rate in composite conductors subjected to a constant thermal disturbance
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.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 207576
- Report Number(s):
- ANL/ET/PP-82984; ON: DE96006947
- Resource Relation:
- Other Information: PBD: Apr 1994
- Country of Publication:
- United States
- Language:
- English
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