База данных: Каталог библиотеки СФУ
Библиографическое описание: Two-layer Stationary Flow in a Cylindrical Capillary Takinginto Account Changes in the Internal Energy of the Interface : научное издание / Victor K. Andreev, Natalya L. Sobachkina. - Текст : непосредственный // Журнал Сибирского федерального университета. Серия: Математика и физика = Journal of Siberian Federal University - Mathematics and Physics. - 2021. - Т. 14, № 4. - P. 507-518. - Cited Reference Count: 13. - The work was supported by a grant from the Russian Foundation for Basic Research no. 20-01-00234. - ISSN 1997-1397. - ISSN 2313-6022, DOI 10.17516/1997-1397-2021-14-4-507-518. Скопировать
Аннотация: The problem of two-dimensional stationary flow of two immiscible incompressible binarymixtures in a cylindrical capillary in the absence of mass forces is investigated. The mixtures arecontacted through a common the interface on which the total energy condition is taken into account.The temperature and concentration in the mixtures are distributed according to a quadratic law, whichis in good agreement with the velocity field of the type Hiemenz. The resulting conjugate boundary valueproblem is nonlinear and inverse with respect to the pressure gradients along the axis of the cylindricalcapillary. The tau-method (a modification of the Galerkin method) was applied to this problem, whichshowed the possibility of the existence of two solutions. It is shown that the obtained solutions witha decrease in the Marangoni number converge to the solutions of the problem of the creeping flow ofbinary mixtures. When solving the model problem for small Marangoni numbers, it is found that theeffect of the increments of the internal energy of the interfacial surface significantly affects the dynamicsof flows of mixtures in layers.
Год издания: 2021
Издательство: Сибирский федеральный университет, Красноярск
Источник: Журнал Сибирского федерального университета. Серия: Математика и физика
Выпуск: Т. 14, № 4
Номера страниц: 507-518
Держатель оригинала документа: Institute of Computational Modelling SB RAS, Siberian Federal University
Количество экземпляров: Твёрдая копия издания отсутствует в фонде библиотеки
Ключевые слова: binary mixture, interface, internal energy, inverse problem, pressure gradient, thermalMarangoni number, бинарная смесь, поверхность раздела, внутренняя энергия, обратная задача, градиент давления, тепловое число Марангони, thermal marangoni number
Классификационные коды: УДК 532.5.013.4, ГРНТИ 27
ISSN: 1997-1397
