Magnetic shielding efficiency was measured on high-Tc superconducting hollow cylinders subjected to either an axial ora transverse magnetic field in a large range of field sweep rates,dBapp/dt. The behaviour of the superconductor was modelled in order to reproduce themain features of the field penetration curves by using a minimum number of freeparameters suitable for both magnetic field orientations. The field penetrationmeasurements were carried out on Pb-doped Bi-2223 tubes at 77 K by applyinglinearly increasing magnetic fields with a constant sweep rate ranging between10 µT s−1 and10 mT s−1 for bothdirections of the applied magnetic field. The experimental curves of the internal field versus the appliedfield, Bin(Bapp), show that, at a given sweep rate, the magnetic field for which the penetration occurs,Blim, is lower forthe transverse configuration than for the axial configuration. A power law dependence with large exponent,n′, is foundbetween Blim and dBapp/dt. Thevalues of n′ are nearly the same for both configurations. We show that the main features of the curvesBin(Bapp) can be reproduced using a simple 2D model, based on the method of Brandt, involving aE(J) power lawwith an n-exponent and a field-dependent critical current density,Jc(B), (following theKim model: Jc = Jc0(1+B/B1)−1). In particular, a linear relationship between the measuredn′-exponents andthe n-exponentof the E(J) power law is suggested by taking into account the field dependence of the critical currentdensity. Differences between the axial and the transverse shielding properties can be simplyattributed to demagnetizing fields.
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