Filter solutions for the nonlinear inverse heat conduction problem

Abstract

Estimation of the heat flux for a quenched solid stainless steel sphere is demonstrated using a filter formulation. Even though the values of the thermal properties significantly change during quenching, nearly as accurate heat flux estimates as with temperature-variable analyses are possible using the proposed filter method. The filter algorithm is very efficient for the repeated analyses of similar tests. The filter solution method uses several IHCP methods including function specification and Tikhonov regularization.