Superconducting wires embedded in stabilized cables may have considerable technological application. In this paper the author considers one of the most important performance characteristics of such a system, heat transfer both inside a superconductor and across the interface. A mathematical model is proposed for the internal resistance of a superconducting tape in a normal matrix, and its effect on minimum propagating current
MINIMUM PROPAGATING CURRENT IN COMPOSITE CONDUCTORS M. G. KREMLEVt
THE use of high current heavy cross-section superconducting wires in stabilized cables may prove a great technological advance. ] The proper choice of parameters of such cables must rely on performance characteristics of the wire of finite thickness, though some purely technological considerations (such as the length of the wire required, the dependence of critical current on reduction, etc.), should also be taken into account. The problem of heat transfer inside a thick superconductor seems to be most important. In this paper a simple model is proposed to account for the internal thermal resistance, and its effect on the stability of the conductor is evaluated.
Let us consider the case of a flat superconducting tape of thickness 2a and width b, embedded in a normal matrix of cross-sectional area A. The critical current density je[T(y)] is supposed to depend linearly on the temperature T je(T) (T -To) je(To~) + (Te -Tom) -1 . . .