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In-situ thermal resistance evaluation of walls using an iterative dynamic model

By: Antonio Jóse Barreto Tadeu1, Nuno Simöes2, Inés Simöes3, Filipe Pedro4, Leopold Škerget5
1University of Coimbra, Department of Civil Engineering Coimbra, Portugal
2University of Coimbra, Department of Civil Engineering Coimbra, Portugal
3Instituto de Investigaçào em Ciências da Construçâo Coimbra, Portugal
4Instituto de Investigaçào em Ciências da Construçâo Coimbra, Portugal
5University of Maribor, Faculty of Mechanical Engineering Maribor, Slovenia

Abstract

This paper proposes and validates a numerical iterative model to evaluate the thermal resistance of multilayer systems (walls) when in a dynamic state. First, the validation is performed numerically, then the second step of validation uses the temperature and heat flux values recorded during experimental tests performed in a hot box chamber. These validations involve comparing the results obtained with those expected, given the thermal properties of each material and thickness of each wall layer. The paper first presents the analytical solution for simulating heat transfer by conduction in the frequency domain, through the multilayer system. This is generated by imposing temperatures on the external surfaces, when the thermal properties of the materials are known. The model is then modified by assuming the wall is composed of a single layer with unknown thermal properties. The temperatures and heat fluxes, provided earlier by the analytical model and imposed on the external surfaces, lead to a nonlinear system that can be solved for the unknown thermal properties. It is solved by implementing an iterative approach based on the Newton-Raphson method. After the validation of the proposed model, this is used to evaluate the thermal resistance of a multilayered wall subjected to real conditions.