Analytical Prediction of Quench Energies of Cooled Superconductors Based on the Hyperbolic Heat Conduction Model

Al-Odat, M. Q.; Al-Hussien, Fayez M. S.

doi:10.1007/s10765-008-0475-0

Cited by 6 publications

(2 citation statements)

References 19 publications

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“…Their results also showed that some obvious differences on MQE with the increasing of thermal relaxation time and operation current in the superconductors by comparing the results with the ones from the classical Fourier heat conduction theory. Al-Odat and his coworkers [24,25] further studied the critical energy characteristics of cooled composite superconductors based on an one-dimensional hyperbolic heat conduction model, and their computational results showed that the critical energy depends on the relaxation time and disturbance duration. It was found that the hyperbolic heat conduction model predicted a lower-critical energy comparing with the ones of the parabolic heat conduction model.…”

Section: Introductionmentioning

confidence: 99%

Theoretical estimation of quench occurrence and propagation based on generalized thermoelasticity for LTS/HTS tapes triggered by a spot heater

Tong

Guan

Wang

2017

Supercond. Sci. Technol.

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The present study deals with the thermal characteristics and mechanical behaviors of low/high temperature superconducting (LTS/HTS) composite tapes during quench processes triggered by a spot heater. Based on the generalized thermoelastic theory, a dynamic thermoelastic model with a relaxation time is developed which takes into account the temperature dependence and finite speed of heat propagation for the superconducting tapes under cryogenic condition. The analyses were performed using the finite element method to solve the coupled differential equations of dynamic heat conduction and elastic equilibrium. The results show that the thermoelastic behaviors exhibit a strong relevance to quench characteristics of the superconductors. As a quench occurs, the thermoelastic strain-rate has an obvious jumping variation with the instant of time of its peak being fortunately coincident with the time at which the critical temperature is reached. Such a jumping change of strain-rate could be a way of estimation and detection of quench occurrence, and the theoretical predictions coincide with the existing experimental observations on thermoelastic strain-rate in LTS magnets. For a HTS tape, the thermoelastic strain-rate or temperature-rate variation and a small jump also are illustrated as the quench occurrence is determined. Additionally, the normal zone propagation velocities for the LTS/HTS tapes are predicted by the critical temperature and thermoelastic strain-rate to show quite good agreements with the results evaluated by Wilson’s formula for a LTS tape or the experimental measurements for a HTS tape. The influences of the relaxation time of heat conduction and thermoelastic coupling on the thermal distribution and strain profile are also discussed in details.

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Section: Introductionmentioning

confidence: 99%

Theoretical estimation of quench occurrence and propagation based on generalized thermoelasticity for LTS/HTS tapes triggered by a spot heater

Tong

Guan

Wang

2017

Supercond. Sci. Technol.

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show abstract

“…The Fourier law, which states that heat is transferred by diffusion process alone, cannot account for the transient heat transfer in situations such as extremely short time duration, very low temperature, and extremely large heat flux. Hence, there has been a growing interest in discovering new heat transfer models [7] as well as applying existing non-Fourier models to physical problems [2,13,24]. Most recent examples include but not limited to the application of non-Fourier heat transfer to study laser-induced thermal damage in biological tissues with nonhomogeneous inner structures [24], to investigate the critical energy characteristics of cooled composite superconductor [2], and to examine the physical anomalies during the transient heat transfer process under the dual-phase-lag model [13].…”

Section: Introductionmentioning

confidence: 99%