Magnetization in a Finite Superconducting Hollow Cylinder in the Presence of the Radial and Azimuthal Transport Currents

Abstract

The main aim of this study is to investigate the magnetization of a finite superconducting hollow cylinder in an axial applied magnetic field and in presence of different values of the radial and azimuthal transport currents in the framework of the three critical states models, namely, Bean, Kim, and exponential models. A set of self-consistency coupled-integral equations for the magnetization hysteresis loops have been solved by using Newton’s numerical method. Throughout the calculations, it has been assumed that the flux penetration starts from the inner lateral surface of the sample. A comparison has been made between the magnetic responses of the sample in applying the radial and azimuthal transport currents. It was found that when the transport current increases, the saturation value, enclosed area of the hysteresis loops, and the initial slopes in the virgin curve decreases. However, given that the flux penetration and demagnetizing effect did not affect by the azimuthal angle, the rate of the mentioned changes as the transport current is in azimuthal direction was slower than when that is in the radial direction. In addition, the radial transport current destroyed the azimuthal symmetry of the shielding current distribution and induced the nonuniform magnetic field in the finite sample. The obtained results have shown the importance of the magnetic field dependence of the critical current density on the magnetic response of the finite superconducting hollow cylinder.