UNIV. NEWS. NORTH-CAUCAS. REG. TECHNICAL SCIENCES SERIES. 2023; 1: 17-22
http://dx.doi.org/10.17213/1560-3644-2023-1-17-22
MATHEMATICAL MODELING OF THE HEAT TRANSFER PROCESS IN A MULTILAYER COMPOSITE STRUCTURE AT THE PREHEATING STAGE
Karakulina Elena O. – Senior Lecturer, Department «Mathematics and Methods of Teaching Mathematics», Orenburg State Pedagogical University, Orenburg, Russia. elok2004@yandex.ru, ospu@ospu.ru
Tugov Vitaly V. – Candidate of Technical Sciences, Associate Professor, Department «Management and Informatics in Technical Systems», Orenburg State Pedagogical University, Orenburg, Russia. vitalya99@mail.ru, ost@mail.osu.ru
Abstract
The work is devoted to mathematical modeling of the heat transfer process in multilayer composite structures with honeycomb filler at the preheating stage, which are produced by molding in autoclaves. The problem of non-stationary heat conduction for a multilayer unlimited plate with given initial conditions, boundary conditions of the 3rd kind on the outer boundaries, and conjugation conditions on the contact surfaces of the layers is solved. The solution of the problem is obtained by the method of finite integral transformations and is used to determine the temperature fields in multilayer structures with different thermal characteristics. The application of the obtained solution for a nine-layer composite structure made up of layers of fiberglass and honeycomb is shown. The obtained temperature dependences at different points in time make it possible to study the features of the flow of heat exchange processes inside a given structure and adjust the temperature regime to achieve a better product.
For citation: Karakulina Е.О., Tugov V.V. Mathematical Modeling of the Heat Transfer Process in a Multilayer Composite Structure at the Preheating Stage. Izv. vuzov. Sev.-Kavk. region. Techn. nauki=Bulletin of Higher Educational Institutions. North Caucasus Region. Technical Sciences. 2023; (1):17–22. (In Russ.). http://dx.doi.org/ 10.17213/1560-3644-2023-1-17-22
Keywords: multilayer composite structure, honeycomb filler, heat transfer problem, finite integral transformation method, autoclave molding
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