МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ТА ЧИСЕЛЬНИЙ АНАЛІЗ ТЕПЛООБМІНУ В ТВЕРДИХ ТІЛАХ СКЛАДНОЇ ФОРМИ
Introduction. Emergency situations may lead to explosions accompanied by the release of heat and pressure waves that destroy structures in their path and cause fires.Problem Statement. Modeling heat transfer in solids of complex geometry remains a critical task, as predicting the distribution of tem...
Saved in:
| Date: | 2025 |
|---|---|
| Main Authors: | , , , , , |
| Format: | Article |
| Language: | English |
| Published: |
PH “Akademperiodyka”
2025
|
| Subjects: | |
| Online Access: | https://scinn-eng.org.ua/ojs/index.php/ni/article/view/872 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Science and Innovation |
Institution
Science and Innovation| Summary: | Introduction. Emergency situations may lead to explosions accompanied by the release of heat and pressure waves that destroy structures in their path and cause fires.Problem Statement. Modeling heat transfer in solids of complex geometry remains a critical task, as predicting the distribution of temperature fields is essential in the design of protective structures. Therefore, the development of a new mathematical model that adequately describes transient thermal processes in solids, as well as thecreation of an efficient numerical method and its implementation as a modern information system for engineering analysis and prediction, is highly relevant.Purpose. To perform mathematical modeling of unsteady temperature fields in solids within regions of significant temperature gradients arising from accidental explosions of gas mixtures.Materials and Methods. Numerical modeling of transient heat transfer processes in multiply connected solids of complex geometry, surrounded by a thermally conductive gaseous medium, has been carried out using a unifiedfinite-diff erence algorithm.
Results. A coupled direct problem involving the flow of a continuous gaseous medium, heat transfer between the gas and solid, and heat conduction within the solid has been considered. The mathematical model accounts for the spatial transfer of mass, momentum, and energy, as well as the complex geometry of streamlined solids. The model has been verified through comparison with analytical solutions to benchmark problems involving an infi nite steel plate. Three-dimensional temperature fields in spatially complex solids have been obtained for individual geometric primitives and their combinations. Heat transfer simulationshave been performed for a turbine blade with a continuous cross-section and internal cooling channels.Conclusions. The newly developed mathematical model has demonstrated suitability for engineering applications in thermal analysis and predictive modeling. The resulting three-dimensional temperature fields can be used to assess the thermal stress state and strength characteristics of structural elements located within the impact zone of high excess pressure caused by accidental explosions of gas mixtures at industrial sites. |
|---|