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This writeup is an attempt to calculate some of the cooldown parameters of a long string of magnets such as the case might be for the SSC. Besides the cooldown time, temperature gradients along a magnet, and in the transverse direction, are influenced by the mass flow of the refrigerant. A number of assumptions and simplifications have been made so that an analytical solution can be obtained. Part I of this report assumes a one dimensional model with a finite axial conductivity and infinite transverse conductivity. Part II, considers the cooldown in the transverse direction only. A common example for both parts points out the limitation of the assumptions made in Part I and suggests the need for a two dimensional time dependent model T = T(r,z,t).

Cooldown of an infinitely long hollow cylinder and application to the SSC cooldown