Numerical analysis of heat, air, and moisture transfers in a wooden building material

Mnasri, Faiza; Abahri, Kamilia; El, Ganaoui Mohammed; Bennacer, Rachid; Gabsi, Slimane

doi:10.2298/tsci160421248m

Cited by 8 publications

(2 citation statements)

References 24 publications

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“…In the first zone, boundary conditions of the 3rd kind are used, which make it possible to determine the temperature and moisture content of one lumber on its surface [15]. These boundary conditions have the following form:…”

Section: Fig 2 the Coordinates Of The Boundaries Of The Initial Mathe...mentioning

confidence: 99%

The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action

Sokolovskyy¹,

Sinkevych²

2022

CDS

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In this work, research the essence of the wood drying process in a periodic wood drying chamber. This paper provides a mathematical model of a wood drying chamber, which describes the general essence of physical drying processes using the equipment available in the wood drying chamber. This approach allows to take into account the physical parameters of the necessary equipment, such as heaters, fans, humidifying nozzles or other. This approach also allows to ignore some design characteristics that may differ depending on the type of wood drying chamber. Considering this, the main task in this work is to determine the temperature and humidity of the drying agent and lumber in the stack, as well as the temperature of the main components of the wood drying chamber. Taking into account such a large number of input parameters and describing a complex non-stationary process of heat transfer, there is a need to create complicated mathematical models. The presence of such mathematical models greatly complicates their application and requires significant computer resources for their calculation. In this way, the mathematical description is reduced to the description of non-linear partial differential equations. To simplify and speed up the calculations of this mathematical model, the use of cellular automata is suggested. To do this, the 3D model of the wood drying chamber is represented as a cell-automatic field, which consists of cells of the same size but different types. As a result, neighboring cells contain local relationships that describe their general behavior. This behavior depends on the type of tangent cells and is described by transition rules based on a mathematical model. Through the use of the developed cell-automatic model and transition rules, it is possible to obtain the values of the temperature and moisture content of the wood in the stack, the drying agent in the chamber, as well as the temperature of the main components of the chamber. The work also shows the corresponding graphs of changes in temperature and moisture content. To check the adequacy and reliability, the obtained results were compared with the results of other authors' experiments. As a result of the verification, the values of the average absolute error aren't high, which confirms the adequacy of the mathematical model and the prospects of using the developed cell-automatic model.

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Section: Fig 2 the Coordinates Of The Boundaries Of The Initial Mathe...mentioning

confidence: 99%

The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action

Sokolovskyy¹,

Sinkevych²

2022

CDS

View full text Add to dashboard Cite

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“…It is based on an implicit finite-difference numerical scheme. More recently, in [1,33], the commercial COMSOL TM software is used to propose a numerical model for such physical problems. As mentioned by the authors, the scheme is based on an explicit in time finite element approach.…”

Section: Introductionmentioning

confidence: 99%

A new model for simulating heat, air and moisture transport in porous building materials

Berger,

Dutykh,

Mendes

et al. 2019

Preprint

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This work presents a detailed mathematical model combined with an innovative efficient numerical model to predict heat, air and moisture transfer through porous building materials. The model considers the transient effects of air transport and its impact on the heat and moisture transfer. The achievement of the mathematical model is detailed in the continuity of Luikov's work. A system composed of two advection-diffusion differential equations plus one exclusively diffusion equation is derived. The main issue to take into account the transient air transfer arises in the very small characteristic time of the transfer, implying very fine discretisation. To circumvent these difficulties, the numerical model is based on the Du Fort-Frankel explicit and unconditionally stable scheme for the exclusively diffusion equation. It is combined with a two-step Runge-Kutta scheme in time with the Scharfetter-Gummel numerical scheme in space for the coupled advection-diffusion equations. At the end, the numerical model enables to relax the stability condition, and, therefore, to save important computational efforts. A validation case is considered to evaluate the efficiency of the model for a nonlinear problem. Results highlight a very accurate solution computed about 16 times faster than standard approaches. After this numerical validation, the reliability of the mathematical model is evaluated by comparing the numerical predictions to experimental observations. The latter is measured within a multi-layered wall submitted to a sudden increase of vapor pressure on the inner side and driven climate boundary conditions on the outer side. A very satisfactory agreement is noted between the numerical predictions and experimental observations indicating an overall good reliability of the proposed model.

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Sensitivity analysis of the parameters for assessing a hygrothermal transfer model HAM in bio-based hemp concrete material

Benkhaled

Ouldboukhitine

Bakkour

et al. 2022

International Communications in Heat and Mass Transfer

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Numerical analysis of heat, air, and moisture transfers in a wooden building material

Cited by 8 publications

References 24 publications

The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action

The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action

A new model for simulating heat, air and moisture transport in porous building materials

Sensitivity analysis of the parameters for assessing a hygrothermal transfer model HAM in bio-based hemp concrete material

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