Stochastic Model for Comfort in Dwellings: General Model

International Journal of Material Science and Engineering

© 2023 by SSRG - IJMSE Journal

Volume 9 Issue 3

Year of Publication : 2023

Authors : Kenya Suárez-Domínguez, Lisbeth A. Brandt-Garcia, Elena F. Izquierdo Kulich, Yoana Perez-Badell, Rocio R. Gallegos-Villela

10.14445/23948884/IJMSE-V9I3P103

How to Cite?

Kenya Suárez-Domínguez, Lisbeth A. Brandt-Garcia, Elena F. Izquierdo Kulich, Yoana Perez-Badell, Rocio R. Gallegos-Villela, "Stochastic Model for Comfort in Dwellings: General Model," SSRG International Journal of Material Science and Engineering, vol. 9,  no. 3, pp. 26-33, 2023. Crossref, https://doi.org/10.14445/23948884/IJMSE-V9I3P103

Abstract:

From an architectural perspective, comfort is essential for well-being, encompassing sensory and emotional aspects. In this context, it focuses on thermal comfort, the feeling of well-being related to the home’s internal temperature. Comfort is related to the ability of the home to dampen external fluctuations and keep the interior temperature close to comfort. The present work seeks to develop a stochastic model that describes the behavior of the internal temperature of a house, considering the variability of the exterior temperature. A deterministic model for temperature in the wall and room is proposed. Stochastic variability is then introduced into the outside temperature. The Ito-Stratonovich formalism is used to obtain a stochastic model based on differential equations for heat transfer by conduction in the wall and by convection in the room. A system of stochastic differential equations is obtained that describes the deterministic behaviour of temperature in the house. Variability in outdoor temperature is introduced as a stochastic variable, developing a stochastic differential equation that describes the probability of temperature in the wall. Comfort indices calculated for different construction materials are presented. The stochastic behavior of ambient temperature and housing temperature is simulated for various materials. The results are discussed in terms of the ability of materials to dampen fluctuations. The results indicate that the ability to dampen fluctuations depends on the material selected. The importance of considering thermal and structural properties when choosing materials to ensure thermal comfort and safety is highlighted.

Keywords:

House comfort, Heat stochastic model, Thermal in construction materials.

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