Heat Flow in Profiled Current Leads of Cryogenic Electrical Devices

The equation of thermal balance in cryogenic current leads of constant and variable cross sections cooled by liquid nitrogen vapor is considered. The heat flow into the low-temperature zone is determined and the optimal geometric characteristics of cryogenic current leads are compared with a change in current. In the mathematical model under consideration, the variation in the cross-sectional area along the axis of the current supply is represented by a smooth linear function that allows the integration of the differential equation of thermal balance. Using the example of current leads with constant and variable cross-sectional areas characterized by a certain material, cooling, and shape of the inputs, the values of the heat flow to the cryoagent are determined.