Transient Heat Conduction in a Semi-Infinite Body. The Inverse Problem

Abstract

In this chapter, inverse transient heat conduction problems in a semi-infinite body are discussed. Particular attention is paid to transient methods for measuring a heat transfer coefficient applied to tests conducted on heat transfer in gas turbines, combustion engines and rocket motors. The authors also derive formulas, which allow to determine both, constant and time-variable heat transfer coefficients on the basis of a measured temperature on the surfaces of construction elements that are considered as semi-infinite bodies and discuss the method for measuring heat flux on the inner surface of the combustion engine cylinder on the basis of a measured cylinder wall temperature in a single point. The authors derive theoretical dependencies, develop computational programs and illustrate how the programs are applied in practice. Overall, the chapter contains eight exercises, which are both, theoretical and computational in character.