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Transport of Mutually Cooperating Triplets of Thermal Fourier Fluctuations Through Two-Phase Periodically Layered Partition Wall

Transport of Mutually Cooperating Triplets of Thermal Fourier Fluctuations Through Two-Phase... AbstractThe paper analyses boundary effect behaviour in a building partition made of a two-component layered composite. A two-dimensional model of such barrier has been adopted in which the boundary effect behaviour is described by a system of ODE’s. It has been proved that, for selected types of fluctuations, a hypothesis formulated in the end of the paper is true, i.e. a partition reacts for the presence of boundary package of fluctuations consisting of one even and two odd fluctuations merely with a typical exponentially damped transport of these boundary fluctuations. Their sinusoidal pulsations in the direction transversal to the periodicity directions are not possible. The exponential damping is maximal for components with very different material properties (values of parameters kII/kI and ηI close to zero). Such situations correspond to a characteristic peak of the graphs included in the paper. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Scientiarum Polonorum Architectura de Gruyter

Transport of Mutually Cooperating Triplets of Thermal Fourier Fluctuations Through Two-Phase Periodically Layered Partition Wall

18 pages

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Publisher
de Gruyter
Copyright
© 2021 Amelia Albin et al., published by Sciendo
eISSN
2544-1760
DOI
10.22630/aspa.2021.20.4.33
Publisher site
See Article on Publisher Site

Abstract

AbstractThe paper analyses boundary effect behaviour in a building partition made of a two-component layered composite. A two-dimensional model of such barrier has been adopted in which the boundary effect behaviour is described by a system of ODE’s. It has been proved that, for selected types of fluctuations, a hypothesis formulated in the end of the paper is true, i.e. a partition reacts for the presence of boundary package of fluctuations consisting of one even and two odd fluctuations merely with a typical exponentially damped transport of these boundary fluctuations. Their sinusoidal pulsations in the direction transversal to the periodicity directions are not possible. The exponential damping is maximal for components with very different material properties (values of parameters kII/kI and ηI close to zero). Such situations correspond to a characteristic peak of the graphs included in the paper.

Journal

Acta Scientiarum Polonorum Architecturade Gruyter

Published: Dec 1, 2021

Keywords: heat conduction; effective heat conduction; boundary effect behaviour; building partition

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