2022
DOI: 10.48084/etasr.5120
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A Numerical Model for Heat and Moisture Transfer in Porous Media of Building Envelopes

Abstract: This study presents a one-dimensional quantitative analysis of unsaturated flow in natural stones using a numerical model (Finite Difference Method) and a mass balance for the heat flow. For that, we considered heat and moisture transfer between the external environment and a porous media (sandstone and limestone) with homogeneous characteristics. For unsaturated water flow, Richards’ equation and the formulation proposed by Gardner for volumetric water content and hydraulic conductivity were considered. The r… Show more

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Cited by 3 publications
(2 citation statements)
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“…In this section we will use finite difference method [3,27] For the solution of (07)-(09) the Crank Nicolson explicit Finite difference method is applied due its advantage of being unconditionally stable. For the discretization of these equations the central difference scheme for the space variables x and y are used but discretization of time derivative function forward difference scheme are used that are defined as Forward difference in time.…”
Section: Numerical Solutionmentioning
confidence: 99%
“…In this section we will use finite difference method [3,27] For the solution of (07)-(09) the Crank Nicolson explicit Finite difference method is applied due its advantage of being unconditionally stable. For the discretization of these equations the central difference scheme for the space variables x and y are used but discretization of time derivative function forward difference scheme are used that are defined as Forward difference in time.…”
Section: Numerical Solutionmentioning
confidence: 99%
“…U-value also regulates the energy consumption and thermal comfort inside the building. The conductive heat flow was reduced due to the evaporation process with natural stones as a building material, which increased the thermal comfort inside with a reduction in energy consumption [7]. Natural convection heat transfer rates increase in an open enclosure with an air cavity with an aspect ratio of 2 [8].…”
Section: Introductionmentioning
confidence: 99%