Surface heat flux prediction through calibration in cylindrical coordinate system

In this work the framework of calibration methods for predicting surface heat flux in cylindrical coordinate system will be discussed. In engineering practice, such as study the boiling heat transfer phenomena in a tube, the heat flux and temperature at the boiling surface are often very important. Whereas the data cannot be measured due to the disruption of boiling heat transfer process with mounting sensors on the inner surface of the tube. Therefore, treatments of predicting surface heat flux and temperature are developed to resolve the problems. The existing methods for predicting surface heat flux in cylindrical coordinate system are strongly parameter-dependent. This study proposes a weakly parameter-dependent algorithm based on calibration. The algorithm is designed to exclude the influence of system parameters on prediction results through an analysis of heat transfer in the hollow cylinder model. The accuracy and robustness of the method presented in the article have been verified in terms of numerical simulations. Multiple sets of predicted results demonstrate the influence of regularization parameters and illustrate the relationship of regularization parameters and noise factors. The results indicate the relative root mean square errors of predictions are in the range of 5% with the noise factor of 2%, which demonstrated the robustness of this approach.