Simple method for calculating the local effective emissivity of the blackbody cavity as a temperature sensor

A blackbody cavity is used as a temperature sensor for measuring the average temperature of the molten liquid. Due to the deviation of fabrication and installation, the detector usually receives the radiation from the different regions of the measuring cavity, so the local effective emissivity distribution is an important parameter to evaluate the measuring temperature discrepancy of a blackbody cavity sensor. We introduced the net-radiation method into the finite element method and extended it to calculate the local effective emissivity of blackbody cavities. It was applied to three typical cavities, and the calculated results are in very well agreement with those in references. This method is simple, easy to use, replicable, and very suitable to evaluate and design a novel cavity.