PERTURBATION NUMBERS – EVALUATION OF THE INFLUENCE OF THE UNCERTAINTY OF PARAMETERS ON UNIDIRECTIONAL TEMPERATURE DISTRIBUTION IN A PLATE  

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Architecture, Civil Engineering, Environment

Silesian University of Technology

Subject: Architecture , Civil Engineering , Engineering, Environmental

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VOLUME 9 , ISSUE 1 (March 2016) > List of articles

PERTURBATION NUMBERS – EVALUATION OF THE INFLUENCE OF THE UNCERTAINTY OF PARAMETERS ON UNIDIRECTIONAL TEMPERATURE DISTRIBUTION IN A PLATE  

Agnieszka Winkler-Skalna *

Keywords : Heat transfer, Perturbation numbers, Perturbed parameters

Citation Information : Architecture, Civil Engineering, Environment. Volume 9, Issue 1, Pages 95-100, DOI: https://doi.org/10.21307/acee-2016-010

License : (BY-NC-ND 4.0)

Published Online: 09-August-2018

ARTICLE

ABSTRACT

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 com-
plicated problems, taking into account among other properties, inhomogeneity of material, its porosity or the occurrence of thermal bridges.

 

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