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Research Article Open access CC BY 4.0

New Stekly Parameter and Biot Number Based on an Adequate Non-dimensionalization Analysis for Superconductor of Any Geometry

EL Azzouzi Fatima, EL Khomssi Mohammed

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 27 Apr 2016

10.9734/BJMCS/2016/25585

Abstract

In the most of works, related to the thermal stability of superconductors maintained by cryogenics, the authors consider the milieu as a threadlike wire of an infinite length. The study of this unidimensional geometric milieu is characterized by some quantities of installation, the Stekly parameter and the Biot number in particular. After proposition of a new non-dimensionalization analysis based on the injection of some floating parameters, our main objective has been to lead to a generalization of these parameters in order to obtain a valid writ for any geometric dimension. The Stekly parameter presents the quality of cooling. We can, according to its value, affirm if the Joule effect is well controlled or if there is a degradation risk of installation. The Biot number reflects the relation between convective and conductive flux. The combination of these parameters helps to analyse the quality of alloy, as well the geometric data of milieu. During this work, we have been able to propose an equation that governs the thermal state of a three-dimensional superconductor.

Biot number cryogenics non-dimensionalization analysis Stekly parameter superconductor

References (4)

  1. 1 Stable Superconducting Coils [DOI]
  2. 2 Analytic solution for the propagation velocity in superconducting composites [DOI]
  3. 3 Stability criterion and stationary states in a superconducting wire of limited length [DOI]
  4. 4 Étude des équations paraboliques et elliptiques gérant l'état thermique d'un supraconducteur

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