Аналитические решения уравнений двухфазной области при наличии набегающего потока
DOI:
https://doi.org/10.33910/2687-153X-2026-7-3-111-122Ключевые слова:
направленное затвердевание, двухфазная область, слабое течение, тепломассоперенос, точные аналитические решения, нелинейные системы уравненийАннотация
В работе описывается процесс направленной кристаллизации. Учтено наличие двухфазной области, а также слабое исходящее или входящее течение в ней. Математическая модель составлена с учетом этих дополнений. Решение было получено полностью аналитически. В работе определены концентрации примеси в зависимости от доли твердой фазы, температуры, доли твердой фазы, толщина двухфазной области. Также было получено междендритное расстояние от скорости кристаллизации и течения с помощью критерия отбора. Были построены зависимости концентрации от доли твердой фазы в сравнении с экспериментальными данными, проницаемость двухфазной области от координаты, а также междендритное расстояние от скорости кристаллизации в сравнении с экспериментальными данными. Во всех случаях полученная теория имеет прекрасное согласование с экспериментальными данными.
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