Mathematical modeling of convection drying process of wood taking into account the boundary of phase transitions

Sokolovskyy, Yaroslav; Boretska, Iryna; Gayvas, B. I.; Kroshnyy, Igor; Nechepurenko, Andriy

doi:10.23939/mmc2021.04.830

Cited by 4 publications

(1 citation statement)

References 17 publications

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“…For the mathematical modeling of the process of convective drying of wood in [16], the following equations are involved: equations of molecular energy transfer, Stefan-Maxwell equations for the vapor and air phases, which take into account the influence of the porous structure, and the Darcy filtration equation for the system as a whole. The mathematical model considers also the anisotropic nature of the thermal conductivity of wood, the dependence of heat capacity on vapor content, and the movement of the evaporation zone in the volume of the plate.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Heat and Mass Transfer during Moisture–Heat Treatment of Castor Beans to Improve the Quality of Vegetable Oil

2022

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An important process in the technology of plant oil production by mechanical pressing is the wet–heat treatment of crushed oilseeds, in which the oilseed (compressed seed) is exposed to saturated vapor and a conductive heat supply. Optimal mode selection of wet–heat treatment based on a detailed study of the physical processes taking place in the compressed seed increases oil release, improves its quality indicators, and decreases energy consumption. Mathematical modeling is an advanced method for studying the dynamics of humidification and frying in the compressed seed. The article introduces a mathematical model and a numerical method for calculating heat-and-mass transformation and phase conversion in the process of the humidification and frying of compressed seeds of the castor plant in a continuous multi-stage heating kettle. This study provides equations for calculating the intensity of phase transformation on the inner and outer surfaces of the wet layer. Data verification indicates the adequacy of the mathematical model, effectiveness of the numerical method, and possibility of their use in optimizing the modes of wet–heat treatment for compressed seed raw material.

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Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Heat and Mass Transfer during Moisture–Heat Treatment of Castor Beans to Improve the Quality of Vegetable Oil

2022

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Study of Contact Drying Granular Materials in Fluidized Bed Dryers

Gayvas,

Markovych,

Dmytruk

et al. 2023

2023 IEEE XXVIII International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIP

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Investigation of drying the porous wood of a cylindrical shape

Gayvas¹,

Dmytruk²

2022

Math. Model. Comput.

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In the presented study, the mathematical model for drying the porous timber beam of a circular cross-section under the action of a convective-heat nonstationary flow of the drying agent is constructed. When solving the problem, a capillary-porous structure of the beam is described in terms of a quasi-homogeneous medium with effective coefficients, which are chosen so that the solution in a homogeneous medium coincides with the solution in the porous medium. The influence of the porous structure is taken into account by introducing into the Stefan–Maxwell equation the effective binary interaction coefficients. The problem of mutual phase distribution is solved using the principle of local phase equilibrium. The given properties of the material (heat capacity, density, thermal conductivity) are considered to be functions of the porosity of the material as well as densities and heat capacities of body components. The solution is obtained for determining the temperature in the beam at an arbitrary time of drying at any coordinate point of the radius, thermomechanical characteristics of the material, and the parameters of the drying agent.

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Mathematical modeling of convection drying process of wood taking into account the boundary of phase transitions

Cited by 4 publications

References 17 publications

Mathematical Modeling of Heat and Mass Transfer during Moisture–Heat Treatment of Castor Beans to Improve the Quality of Vegetable Oil

Mathematical Modeling of Heat and Mass Transfer during Moisture–Heat Treatment of Castor Beans to Improve the Quality of Vegetable Oil

Study of Contact Drying Granular Materials in Fluidized Bed Dryers

Investigation of drying the porous wood of a cylindrical shape

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