Analysis of the Conduction Heat Transfer in Cantilevers under Steady State Cryogenic Conditions

Abstract

An accurate analysis of the conduction heat transfer in a cryogenic flask is made and some useful formulae are derived. Taking into account the temperature dependence of conductivity and tensile strength of the supporting rods for a helium cryostat, these formulae may provide more exact results than the the formulae based on simpler models. This allows the design of the supporting elements of a liquid helium cryostat with minimum cross-section (for minimizing the heat transfer)and proper mechanical resistance. Some examples of numerical results and tables are also presented.