Perturbation Numbers – Evaluation of The Influence of The Uncertainty of Parameters On Unidirectional Temperature Distribution In A Plate

This paper describes the issue of unidirectional temperature distribution in a plate with the assumption of perturbations in the problem parameters. The new algebraic perturbation system is proposed as a possible alternative to the traditional I-order perturbation methods. A calculation example is presented to compare the classical solution of a problem with that using perturbation numbers. The investigation of a possibility to apply the new algebraic system using a simple example represents an introduction to the further development of the proposed methodology which can be used to solve more complicated problems, taking into account among other properties, inhomogeneity of material, its porosity or the occurrence of thermal bridges.