Mathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures

Hachkevych, Oleksandr; Hachkevych, M.; Torskyy, A.; Dmytruk, Veronika

doi:10.23939/mmc2018.02.134

Math. Model. Comput.

2018

DOI: 10.23939/mmc2018.02.134

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Mathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures

Oleksandr Hachkevych¹,

M. Hachkevych²,

A. Torskyy³

et al.

Abstract: A mathematical model is constructed and a problem of optimization of annealing regimes of thermosensitive glass elements of constructions with the use of numerical methods and variational calculus is solved. As an example, the optimal regimes of annealing of specific glass plates for different values of permissible stresses are constructed and analyzed.

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2022

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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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Investigation of drying the porous wood of a cylindrical shape

Gayvas¹,

Dmytruk²

2022

Math. Model. Comput.

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show abstract

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Mathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures

Cited by 1 publication

References 3 publications

Investigation of drying the porous wood of a cylindrical shape

Investigation of drying the porous wood of a cylindrical shape

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