Sequential function estimation of a distributive surface heat flux using dual reciprocity boundary element method

In this work DRBEM is used to estimate a non-uniform time varying heat flux applied to one surface of a flat wall. It is assumed that the heat flux varies on the surface linearly with time dependent coefficients. Sequential function specification method is used to estimate these coefficients. Sensivity coefficients are defined with respect to the coefficients of the linear function describing the spatial variation of the heat flux. Calculating sensivity coefficients is equivalent with thermal shock modeling. It is shown that the lack of precision in early times when a thermal shock is modeled does not affect the accurate estimation considerably. The effectiveness of the method is illustrated by the way of a simulated numerical experiment.