%0 Journal Article %A Malik Muhammad, Nauman %D 2017 %I Begell House %K adaptive state estimation, Kalman filter, inverse heat conduction %N 3 %P 239-261 %R 10.1615/HeatTransRes.2016010870 %T ADAPTIVE BOUNDARY INPUT HEAT FLUX AND TEMPERATURE ESTIMATION IN A THREE-DIMENSIONAL DOMAIN %U https://www.dl.begellhouse.com/journals/46784ef93dddff27,2a94391f066c138d,173d05640a2c25ec.html %V 48 %X Adaptive state estimator is deployed in this study that works by incorporating the semi-Markovian concept into a Bayesian estimation technique thereby developing an inverse input and state estimator consisting of a bank of parallel adaptively weighted Kalman filters. The problem presented here deals with a three-dimensional system of a cube with one face conducting heat flux and all the other sides being insulated while the temperatures are measured on the accessible faces of the cube. A variety of input heat flux scenarios have been examined to underwrite the robustness of the estimation algorithm and hence insure its usability in practical applications. The analysis and method were not applied previously and the numerical procedure is of great value in predicting input and state in many practical applications where it is not possible to directly measure the input heat flux and temperature distribution in a three-dimensional (3D) domain. %8 2017-03-02