Theoretical Approach to Surface Heat Flux Distribution Measurement from In-Depth Temperature Sensors

摘要

The paper describes a method to determine the local distribution of the incoming net heat flux at the surface of a three-dimensional body using the noninteger system identification method based only on temperature measurement In the current implementation of the three-dimensional noninteger system identification method, the number of in-depth temperature sensors has to be the same as the number of surface elements to be considered. It is assumed that the heat conducted from the surface through the solid can be superposed at the temperature sensor location. This problem is solved by means of an impulse response of each sensor with respect to each surface element Within this paper, the mathematical approach of the three-dimensional noninteger system identification method is explained and the method is applied and validated with artificial data provided by examplary numerical simulations. Two examples are investigated, one with homogeneous heat flux on all surface elements and the other with heat flux applied to only half of the surface. The results of the three-dimensional noninteger system identification method compare well with the preset heat flux.