THE SOLUTION OF A TRANSITION PROBLEM IN A SUPERCONDUCTING STRIP

Abstract

Open- nded T rms: London theory. The isothermal transition of a strip of superconducting material, from the superconducting state to the normal state, under the influence of a supercritical external magn ic field, is studied on the ba is of the London theory of superonductivity. The problem can be formulated as a free boundary probl m with parabolic differential equations which is solved mainly by nu-erical methods; an analytical solution in the form of series expansions is giv n for the early part of the transition. It is found that, in the beginning, the transition in the strip behaves almost like the transition in a half-space. However, the two differ quite rastically as the transition nears completion. It is pointed out that to predict the total transition time for the strip by extrapolating from the analytical solution for the half-space is incorrect. The results show t t such an estima e for the tr nsi ion ti e would be much too small. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 20, 1961
Accession Number
AD0263602

Entities

People

  • Werner Liniger

Organizations

  • International Business Machines Corporation (Armonk, NY)

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Transitions

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Snow Cover Descriptors for Reptiles and Their Illustrations.
  • Superconducting Magnet Technology

Technology Areas

  • Space