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

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.