Solving Stefan's linear problem for drying cylindrical timber under quasi-averaged formulation

Gayvas, B. I.; Dmytruk, Veronika; Semerak, M. M.; Rymar, Tetiana

doi:10.23939/mmc2021.02.150

Cited by 3 publications

(1 citation statement)

References 7 publications

(11 reference statements)

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“…The issue of accounting for the temperature inhomogeneity in the model of heat transfer for the structure being attributed to the heating-cooling cycles, or nonuniform heating, is considered in [3]. Stefan's linear problem for drying capillary-porous material is solved under quasi-averaged formulation in [4]. In [5], the problem of determination of the coefficients of internal diffusion of moisture for capillary-porous materials of plant origin during filtration drying is solved based on integral transformations.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Gayvas,

Markovych,

Dmytruk

et al. 2023

Math. Model. Comput.

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The problem of conductive (contact) drying of a capillary-porous body in a steam-air (gas) environment by heat transfer to the material during its contact with the heated surfaces of the material is considered. A system of significantly nonlinear differential equations of heat and mass transfer to describe such a process is obtained. To solve the formulated problem of heat and mass transfer (without taking into account deformability), the method of solving nonlinear boundary value problems is applied in the form of an iterative process, at each step of which a linear boundary value problem is solved. The results of the application of the method are verified based on the popular numerical scheme used. They agree well. A numerical experiment is conducted for materials of three types of porosity. The results are presented graphically and tabularly. The regularities of contact drying of capillary-porous materials in a steam-air environment are deduced.

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Section: Introductionmentioning

confidence: 99%

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Gayvas,

Markovych,

Dmytruk

et al. 2023

Math. Model. Comput.

Self Cite

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Mathematical Modeling of the Thermal Stress State in a Connection Unit of the Coil Shank End with High-Pressure Heater HP-2500-97 Collector

2023

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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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Solving Stefan's linear problem for drying cylindrical timber under quasi-averaged formulation

Cited by 3 publications

References 7 publications

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying

Mathematical Modeling of the Thermal Stress State in a Connection Unit of the Coil Shank End with High-Pressure Heater HP-2500-97 Collector

Investigation of drying the porous wood of a cylindrical shape

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