The Estimation of Fluid Temperatures Through an Inverse Heat Conduction Technique

Abstract

Transient, internal temperatures within an instrumented probe are considered as part of an inverse heat conduction problem (IHCP) to compute the temperature of the surrounding fluid. A linear scheme is used where the exchange coefficients are treated as known parameters.Input data to the IHCP have been generated numerically. When these are uncorrupted, the inverse algorithm works well without stabilization. However, in practice the algorithm must be stabilized, as it is shown that noise is amplified substantially. It becomes necessary both to parameterize spatial variations in the fluid temperature and to utilize a functional specification method to address the noncausal solution.