TRANSVERSE TEMPERATURE DISTRIBUTION AND HEAT-GENERATION RATE IN COMPOSITE SUPERCONDUCTORS SUBJECTED TO CONSTANT THERMAL DISTURBANCE

Analytical solution of one-dimensional, transient heat conduction with a distributed heat source is obtained to predict the transverse tempe rature distribution and heat generation rate per unit volume of the co mposite superconductor. The solution indicates that temperature distri bution and heat generation rate depend on three dimensionless paramete rs: the dimensionless external disturbance w(0), the dimensionless int erface temperature theta, and the dimensionless parameter phi that is dependent on the thickness and the thermal conductivity of the superc onductor. Results of transient and steady-state solutions are presente d. It is shown that the heat generation rate per unit volume of the co mposite, Q/Q(c), is directly proportional to the current in the stabil izer.