A least-squares solution to nonlinear steady-state multi-dimensional IHCP

In this paper, the least-squares method is us,ed to solve the Inverse Heat Conduction Problem (IHCP) to determine the space-wise variation of the unknown boundary condition on the inner surface of a helically coiled tube with fluid flow inside, electrical heating and insulation outside. The sensitivity coefficient is analyzed to give a rational distribution of the thermocouples. The results demonstrate that the method effectively extracts information about the unknown boundary condition for the heat conduction problem from the experimental measurements. The results also show that the least-squares method converges very quickly.