Brandt model: applications in magnetic shielding and in magneto-thermal phenomena

In this talk, I illustrate two applications of the Brandt model to calculate magnetic shielding for high-Tc superconducting tubes and the self-heating of superconducting pellets, in each case subjected to an axial field. For magnetic shielding, the model is shown to faithfully reproduce the magnetic field measured along the axis and to exhibit the expected frequency scaling laws. End effects are further studied in cases where the shielding vessel is closed at its extremities, in order to increase the shielded volume. For self-heating, the Brandt model is extended to include the heat equation and heat transfer to a cryogenic fluid. The model reproduces the experimentally determined temperature profiles.