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Modelling He I-He II phase transformation in long channels containing superconductors.

Author(s) : SITKO M., SKOCZEN B.

Type of article: Article

Summary

The problem of heat transport during sub-cooling below lambda point in long, narrow channels containing superconductors immersed in liquid helium is discussed. In order to describe the propagation of phase transformation front the travelling plane wave description with suitable change of variables has been adopted. Nonlinear temperature profile corresponding to the conductivity function in He II has been assumed. The heat diffusion equation is solved in the volume of He I with the assumption that the main contribution to the specific heat is due to helium and the main contribution to longitudinal conduction is due to superconductor. For one dimensional problem with the temperatures clamped at both extremities of the channel the closed form analytical solutions for temperature profile are obtained. Channels with discontinuity in diameter are also analysed. Experimental validation of the model is based on 54 m long superconducting lines applied in the Large Hadron Collider. [Reprinted with permission from Elsevier. Copyright, 2008].

Details

  • Original title: Modelling He I-He II phase transformation in long channels containing superconductors.
  • Record ID : 2009-0968
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 52 - n. 1-2
  • Publication date: 2009/01

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