Modelling of thermal processes in heat flux sensors

Abstract

The method of modelling the temperature and heat flux distribution in the structure consisting of the heat flux sensor and the object with the investigated heat flux is presented. In the structure, the domain of modelling is marked out and is replaced by the equivalent structure with three rectangular regions. For each region, the analytical expression for the temperature distribution is determined using the eigenfunction method. Heat flux densities on boundaries of regions are defined as the sums of orthogonal functions with unknown weighting coefficients. To find the unknown weighting coefficients the boundary conditions on boundaries of the regions are used. In general, the determination of the weighting coefficients is reduced to solving a system of linear equations. The present method is applied to determine the temperature distribution in the structure with the heat flux sensor and the thermally conductive wall and the heat flux densities on their surfaces.