Задача теплопровідності для складеного тіла з елементами різної вимірності

Ye. Ya. Chaplya, B. V. Gera, V. V. Kovalchuk

Анотація


Досліджено теплову взаємодію тіл з тонкими елементами, що мають інші теплофізичні характеристики. Сформульовано задачу теплопровідності для півсмуги з тонким покриттям на поверхні, що зумовлює використання узагальнених граничних умов, які наближено враховують теплообмін з навколишнім середовищем через покриття. Із застосуванням інтегрального перетворення Лапласа отримано розв’язок такої задачі в замкнутому вигляді та здійснено перехід до безрозмірної форми, а також стаціонарного випадку. Виконано розрахунки та аналіз температури в області тіла та на його поверхні для деяких співвідношень між характеристиками тіла та покриття.

 

Зразок для цитування: Є. Я. Чапля, Б. В. Гера, В. В. Ковальчук, “Задача теплопровідності для складеного тіла з елементами різної вимірності,” Мат. методи та фіз.-мех. поля, 66, №3-4, 72–85 (2023), https://doi.org/10.15407/mmpmf2023.66.3-4.72-85

Ключові слова


теплообмін, тонке включення, тонке покриття поверхні, узагальнені теплові граничні умови

Посилання


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