On the choice of boundary conditions for the estimation of the thermal conductivity components of orthotropic solds

摘要

In this paper we examine the effect of the boundary condition on the accuracy of the inverse probelm of estimating the three thermal conductivity components of an orthotropic cube. Three surfaces of such a cube are uniformly heated by a heat flux in the form of a step function. The three remaining boundaries are considered either insulated or at a prescribed temperature. The deterimant of the inverse of the covariance matrix of the estimated parameters is maximized for the optimum experimental design. The Levenberg-Marquardt method is applied for the solution of the present parameter estimation problem by using simulated measurements.