Моделювання процесу тепломасоперенесення в композитних поліграфічних структурах

• Дата: 2018
• Автори: Коляно, Ярослав Юрійович, Іваник, Євген Григорович, Сікора, Оксана Володимирівна, Дорошенко, Микола Васильович
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Kamianets-Podilskyi National Ivan Ohiienko University 2018
• Онлайн доступ: http://mcm-tech.kpnu.edu.ua/article/view/140040
• Назва журналу: Mathematical and computer modelling. Series: Technical sciences

A mathematical model of the conductive heating process of composite polygraphic systems is formulated, which reduces to the solution of the initial boundary value problem for a homogeneous non-stationary thermal equation for a two-layer plate with asymmetric boundary conditions. The obtained initial boundary value problem for a non-stationary heat equation is solved by the method of Laplace integral transformations, namely: the transformation of temperature distributions in conjugate layers is obtained in the analytical form by the method of integral transformations of Laplace. Transformants of temperature distributions are represented in the form of linear combinations of hyperbolic trinomentric functions. Numerical calculations of the stationary heat conduction problem for a double-layer infinite plate in relation to conductive drying are carried out; To study the composite structures of polymer-cardboard and polymer-paper are taken. The thermophysical parameters of cardboard, paper and polyurethane have been determined, which allows to simulate the process of conductive heating of cardboard of different thickness on the basis of the established stationary temperature distribution in two-layer composites of polyurethane-paper type, polyurethane-cardboard, which leads to the possibility of improving the process of conductive heating of two-layer printing materials and process compression of polymer films. It has been established that paper is the best thermal insulator than cardboard, since during the heating of a two-layer plate made of polyurethane and paper there are large temperature gradients than when heating a double-layer plate of the same thickness of polyurethane and cardboard. It has also been established that a layer of polyurethane with a thickness of 1 mm holds about the same temperature as a cardboard or paper, 5 mm thick. Numerical calculations of the stationary heat conduction problem for a two-layer infinite plate allow us to verify the adequacy of the solutions of the set nonstationary problem.