Тип публикации: статья из журнала (материалы конференций, опубликованные в журналах)
Конференция: International Symposium on Instability and Bifurcations in Fluid Dynamics (BIFD); ESPCI, Paris, FRANCE; ESPCI, Paris, FRANCE
Год издания: 2016
Идентификатор DOI: 10.1088/0169-5983/48/6/061408
Ключевые слова: two-layer flow, thermocapillary interface, exact solution, finite-amplitude perturbations, finiteamplitude perturbations, Capillary flow, Flow of gases, Gases, Heat conduction, Natural convection, Temperature, Thermal gradients, Longitudinal gradients, Oberbeck-Boussinesq approximation, Oscillatory perturbations, Thermocapillary, Thermocapillary effect, Two-layer flows, Navier Stokes equations
Аннотация: A new exact solution of the equations of free convection has been constructed in the framework of the Oberbeck-Boussinesq approximation of the Navier-Stokes equations. The solution describes the joint flow of an evaporating viscous heat-conducting liquid and gas-vapor mixture in a horizontal channel. In the gas phase the Dufour andПоказать полностьюSoret effects are taken into account. The consideration of the exact solution allows one to describe different classes of flows depending on the values of the problem parameters and boundary conditions for the vapor concentration. A. classification of solutions and results of the solution analysis are presented. The effects of the external disturbing influences (of the liquid flow rates and longitudinal gradients of temperature on the channel walls) on the stability characteristics have been numerically studied for the system HFE7100-nitrogen in the common case, when the longitudinal temperature gradients on the boundaries of the channel are not equal. In the system both monotonic and oscillatory modes can be formed, which damp or grow depending on the values of the initial perturbations, flow rates and temperature gradients. Hydrodynamic perturbations are most dangerous under large gas flow rates. The increasing oscillatory perturbations are developed due to the thermocapillary effect under large longitudinal gradients of temperature. The typical forms of the disturbances are shown.
Журнал: FLUID DYNAMICS RESEARCH
Выпуск журнала: Vol. 48, Is. 6
ISSN журнала: 01695983
Место издания: BRISTOL
Издатель: IOP PUBLISHING LTD