Сегрегация частиц в магнитной жидкости при совместном действии магнитного и гравитационного полей

Авторы

  • Александр Федорович Пшеничников (Alexander Pshenichnikov) Институт механики сплошных сред УрО РАН; Пермский государственный национальный исследовательский университет
  • Екатерина Николаевна Буркова Пермский государственный национальный исследовательский университет
  • Александр Николаевич Кондрашов (Aleksandr N. Kondrashov) Пермский государственный национальный исследовательский университет

DOI:

https://doi.org/10.17072/1994-3598-2018-1-5-16

Аннотация

Численно, методом контрольных объемов, решена динамическая задача о сегрегации частиц в полости квадратного сечения при совместном действии магнитного и гравитационного полей. Показано, что в процессе перехода системы из начального однородного состояния в стационарное неоднородное возникают долгоживущие пальцеобразные структуры с непрерывно увеличивающимся волновым числом. Для ограничения волнового числа в уравнение магнитодиффузии введено дополнительное слагаемое Кана-Хилларда. Появление пальцеобразных структур объясняется конкуренцией гравитационных и магнитостатических сил в тонком диффузионном слое между областями с низкой и высокой концентрацией частиц. Наблюдаемое явление, таким образом, является диффузионным аналогом неустойчивости Розенцвейга свободной границы магнитной жидкости в вертикально ориентированном магнитном поле.

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Опубликован

2018-04-14

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Статьи (Regular articles)