Initial credibility analysis of a numerical model of heat and moisture transfer in porous building materials

Wąsik, Michał; Cieślikiewicz, Łukasz; Łapka, Piotr; Furmański, Piotr; Kubiś, M.; Seredyński, Mirosław; Pietrak, Karol; Wiśniewski, Tomasz; Jaworski, Maciej

doi:10.1063/1.5092109

Cited by 13 publications

(11 citation statements)

References 17 publications

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“…In the non-equilibrium model liquid and heat transfer are related to moisture movement, but in the pendular state of water they are neglected. The total pressure, p, in the porous medium is assumed constant and equal to 101,325 Pa, which allows for simplification of both mathematical models and elimination of the equation for balance of air [11,12]. In the two subsequent sections both models of concurrent moisture and heat transfer, namely the non-equilibrium and equilibrium ones, are presented.…”

Section: General Assumptionsmentioning

confidence: 99%

“…A model of the moisture transfer in the clay brick was developed Allam et al [10]. This model was based on the same driving potentials used in [9].The extended model of moisture and heat transfer in homogeneous porous building materials was presented in [11,12]. It consisted of four transport equations, describing vapor, dry air, liquid moisture, and energy transport.…”

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confidence: 99%

“…The extended model of moisture and heat transfer in homogeneous porous building materials was presented in [11,12]. It consisted of four transport equations, describing vapor, dry air, liquid moisture, and energy transport.…”

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confidence: 99%

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Analysis of Non-Equilibrium and Equilibrium Models of Heat and Moisture Transfer in a Wet Porous Building Material

et al. 2020

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In the proposed paper, non-equilibrium and equilibrium models of heat and moisture transfer through wet building materials are presented and compared. In the former, the mass transfer between liquid and gaseous moisture results from the difference between the partial pressure of water vapor and its saturation value. In the second model, the equilibrium between both phases is assumed. In the non-equilibrium model, liquid moisture can be in the continuous (funicular) or discontinuous (pendular) form. The transfer of moisture for each proposed model is tightly coupled with the energy transfer, which is assumed to be an equilibrium process. The time step and grid size sensitivity analysis of both numerical models are performed primarily. The verification of the model is based also on the numerical data available in literature. Finally, obtained with considered models, temporal variations of moisture content in three locations in the computational domain are compared. Reasonable conformity of results is reported, and discrepancies related to differences in formulations of models are discussed.

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Section: General Assumptionsmentioning

confidence: 99%

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Analysis of Non-Equilibrium and Equilibrium Models of Heat and Moisture Transfer in a Wet Porous Building Material

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“…In Reference , the impact of air transfer was highlighted using an experimental approach. In References , a numerical model, based on a commercial software, was used to investigate the impact of air transfer on the heat and mass transfer in a porous material. Recently, in Reference , the numerical predictions have been compared to experimental observation to evaluate the reliability of the model.…”

Section: Introductionmentioning

confidence: 99%

An efficient numerical model for the simulation of coupled heat, air, and moisture transfer in porous media

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Mendes

et al. 2020

Engineering Reports

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This article proposes an efficient explicit numerical model with a relaxed stability condition for the simulation of heat, air, and moisture transfer in porous material. Three innovative approaches are combined to solve the system of two differential advection‐diffusion equations coupled with a purely diffusive equation. First, the DU FORT‐FRANKEL scheme is used to solve the diffusion equation, providing an explicit scheme with an extended stability region. Then, the two advection‐diffusion equations are solved using both the SCHARFETTER‐GUMMEL numerical scheme for the space discretisation and the two‐step RUNGE‐KUTTA method for the time variable. This combination enables to relax the stability condition by one order. The proposed numerical model is evaluated on three case studies. The first one considers quasi‐linear coefficients. The theoretical results of the numerical schemes are confirmed by our computations. Indeed, the stability condition is relaxed by a factor of 40 compared to the standard EULER explicit approach. The second case provides an analytical solution for a weakly nonlinear problem. A very satisfactory accuracy is observed between the reference solution and the one provided by the numerical model. The last case study assumes a more realistic application with nonlinear coefficients and ROBIN‐type boundary conditions. The computational time is reduced 10 times by using the proposed model in comparison with the explicit EULER method.

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“…Allam et al [7] developed the model of the hygrothermal transfer in the clay brick which utilized the temperature and vapor partial pressure as driving potentials. Recently, the model of heat and moisture transfer in porous building materials which consisted of four equations, i.e., energy, liquid moisture, vapor and dry air balance equation, was presented in [8,9]. In this model temperature, liquid moisture volume fraction as well as vapor and dry air densities were used as independent variables.…”

Section: Introductionmentioning

confidence: 99%

Investigation of the equilibrium and non–equilibrium models of heat and moisture transport in a wet porous building material

et al. 2019

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In the paper the equilibrium and non-equilibrium models of moisture transport across the wet building material are proposed and compared. The equilibrium condition between gaseous and liquid moisture phases in the first model is relaxed in the second one, where evaporation and condensation are driven by the difference between the actual moisture partial pressure and its saturation value. In both models moisture is assumed in the gaseous phase as well as continuous (funicular) and discontinuous (pendular) liquid phase. Moreover, the transport of moisture is tightly coupled with heat transfer, which is treated as the fully equilibrium process in both models. The proposed models are verified with numericalresults available in literature, namely with temporal variation of temperature in selected location in the building material. Additionally, predicted with both models temporal changes of the moisture content in three selected points and the total moisture content are compared. Both models produced similar results.

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Initial credibility analysis of a numerical model of heat and moisture transfer in porous building materials

Cited by 13 publications

References 17 publications

Analysis of Non-Equilibrium and Equilibrium Models of Heat and Moisture Transfer in a Wet Porous Building Material

Analysis of Non-Equilibrium and Equilibrium Models of Heat and Moisture Transfer in a Wet Porous Building Material

An efficient numerical model for the simulation of coupled heat, air, and moisture transfer in porous media

Investigation of the equilibrium and non–equilibrium models of heat and moisture transport in a wet porous building material

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