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

TL;DR

This paper presents a detailed analysis of conduction heat transfer in cryogenic flasks, deriving formulas that account for temperature-dependent properties to optimize support design for minimal heat transfer and mechanical strength.

Contribution

It introduces new formulas considering temperature-dependent conductivity and tensile strength for more accurate cryostat support design.

Findings

Derived formulas improve heat transfer predictions in cryogenic supports.

Numerical examples demonstrate the application of the formulas.

Guidelines for designing minimal cross-section supports with adequate strength.

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.