Inverse Heat Conduction Problem for Estimating Heat Flux on a Triangular Wall

The method for solving inverse heat conduction problems was used to develop a computational model of the heat flux on the high-temperature wall of an engine. The heat flux on the wall surface was calculated from measured temperatures and used as the objective function for the inverse solution. The conjugate gradient method was used to optimize the solution with the differential equations for the heat conduction discretized by the finite element method. A computational method was then developed to solve the inverse problem in a two-dimensional wall. The calculated temperatures agree well with the measured data. The maximum error in the calculated temperatures was 3% even for a sharp change in the heat flux. The corresponding error in the calculated heat fluxes was less than 18%.