环形浅液池内双组分溶液耦合热溶质毛细对流渐近解

采用匹配渐近展开法求解环形浅液池内热溶质耦合毛细对流中心区域渐近解,分析Soret效应和浮力对流动的影响。结果表明,当不考虑溶质毛细力和浓度的不均匀引起的浮力作用时,该解与环形浅液池内纯工质热毛细浮力对流或热毛细对流的渐近解完全一致;在浅液池内,浮力的影响较小,耦合的热溶质毛细力对流动过程起主导作用;当各种耦合的驱动力作用方向相同时,流动加强,相反,一旦存在反向的情况,则流动必然相互削弱。

Asymptotic solution of coupled thermal-solutal capillary convection in a shallow annular pool of two components solution

The coupled thermal and solutal capillary convection subjected to radial temperature gradient in a shallow annular pool with free surface is investigated by using asymptotical analysis and the solution is obtained in the core region. The influences of Soret effect and buoyant force on fluid flow are analyzed. The results show that when the solutal capillary force and the buoyancy induced by the ununiform distribution of solute concentration are not considered, the asymptotic solution is the same as the asymptotic solution of pure thermocapillary-buoyancy convention or thermocapillary convection in a shallow annular pool. The influence of the buoyancy on the fluid flow is slight and the coupled thermal and solutal capillary forces play a dominant role in the convection in shallow annular pool. When the coupled forces are in the same direction, the flow is reinforced. Otherwise, the flows suppress each other.