Boundary Estimation in the Inverse Natural Convection Problems

This research present an iterative approach that can estimate the boundary condition from the temperature measured at the interior point of the fluid field in the inverse natural convection problems. Based on the proposed method, the undetermined boundary condition is first denoted as the unknown variables in a set of nonlinear equations, which are formulated from the measured temperature and the calculated temperature of the inverse problem. Then, a modified Newton-Raphson method is used to estimate the unknown boundary condition. In the example problem, the close agreement between the exact solutions and the estimated results shows the potential of the proposed model in finding the accurate value of the boundary condition in the inverse natural convection problems.