Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference Mathematical and Information Technologies, MIT 2016
Год издания: 2017
Ключевые слова: A priori estimates, Asymptotic behaviour, Conjugate initial-boundary value problem, Numerical simulation, Thermocapillarity
Аннотация: The new partially invariant solution of two-dimential motions of heated viscous liquid equations is considered. For factor-system arised the initial boundary value problem is formulated. This problem is inverse one and describing of common motion of two immiscible liquids in a plane channel under the action of thermocapillary forceПоказать полностьюs. As Marangoni number is small (so-called creeping flow) the problem becomes the linear one. Some a priori estimates are obtained and input data conditions when solution tends to stationary one are found. In Laplace transforms the exact solution is obtained as quadratures and some numerical results of velocities behavior in layers are presented.
Журнал: CEUR Workshop Proceedings
Выпуск журнала: Vol. 1839
Номера страниц: 258-270
ISSN журнала: 16130073
Издатель: CEUR-WS