Тип публикации: статья из журнала
Год издания: 2023
Идентификатор DOI: 10.1098/rsta.2022.0078
Аннотация: <jats:p>The right choice of the appropriate mathematical model is crucial for evaluating the physical plausibility of modelling results. The issue of the correct application of the classical Boussinesq approximation for studying the heat and mass transfer in fluidic systems with a deformable boundary is a subject of scientific discПоказать полностьюussions despite the good agreement of numerous theoretical and numerical results obtained within the convection models based on the Oberbeck–Boussinesq equations with the data of physical experiments and observations. A comparative analysis of the results of numerical simulations in the framework of two-sided models based on the Navier–Stokes equations, and their Boussinesq approximation, is performed in the context of a convection problem in a locally heated two-phase system with a deformable interface. It is demonstrated that the application of the standard Boussinesq approximation allows one to give a consistent description of the effect of interface deformations on combined buoyant–thermocapillary driven fluid motions.</jats:p> <jats:p>This article is part of the theme issue ‘New trends in pattern formation and nonlinear dynamics of extended systems’.</jats:p>
Журнал: Philosophical Transactions: Mathematical, Physical and Engineering Sciences (Series A)
Выпуск журнала: Т.381, №2245
ISSN журнала: 1364503X
Издатель: The Royal Society