Study on the imaginary temperature of open boundary wall in cylindrical medium by partition allocation method

By the partition allocation method, the radiative heat transfer in a cylindrical medium is approximated, in which every subdomain is overlapped with each other and isolated by an imaginary black wall at certain temperatures. The flux equivalent temperature (FET) from the incident radiative flux on the imaginary interface is proposed as the imaginary temperature of open boundary. Compared with the conventional method of the local medium temperature (LMT) as the imaginary temperature, the FET method is more suitable. The effects of the overlap optical thickness and the aspect ratio on the accuracy of partition allocation method were also investigated.