旋转环形浅液池内双组分溶液耦合热-溶质毛细对流渐近解  

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

作　　者：龚振兴[1] 李友荣[1] 彭岚[1] 吴双应[1] 石万元[1] 

机构地区：[1]重庆大学动力工程学院,低品位能源利用技术及系统教育部重点实验室,重庆400044

出　　处：《物理学报》2013年第4期1-8,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51176209)资助的课题~~

摘　　要：为了了解水平温度梯度作用下旋转环形浅液池内耦合热-溶质毛细对流基本特征,采用匹配渐近展开法对旋转环形浅液池内耦合热-溶质毛细对流过程进行了求解,获得了中心区域的速度、温度和浓度分布,分析了旋转、Soret效应、浮力、溶质扩散系数和液池的几何尺寸对流动结构的影响.将所得到的渐近解和文献中的已有结果进行对比,证明了所求结果的正确性;在浅液池内,耦合热-溶质毛细力对流体流动起主导作用,旋转和浮力对流动的影响较小,溶质扩散系数和几何尺寸有较明显影响;当各种耦合的驱动力作用方向相同时,流动增强;否则,流动减弱.In order to understand the characteristics of the coupled thermal and solutal capillary convection with the radial temperature gradient in a slowly rotating shallow annular pool with the free surface, the asymptotic solution is obtained in the core region using asymptotical analysis in the limit as the aspect ratio, which is defined as the ratio of the layer thickness to the gap width, goes to zero. The influences of the rotating, Sorer effect, solute diffusion coefficient, buoyant force and geometric parameters on fluid flow are analyzed. The results show that when the rotating and 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 that of the previous work. The influences of the rotating, the buoyancy, solute diffusion coefficient and the geometric parameters on the fluid flow are all small and the coupled thermal and solutal capillary forces play a dominant role in the convection. When the coupled forces are in the same direction, the flow is reinforced, otherwise, the flow is suppressed.

关 键 词：旋转 环形浅液池 耦合热 溶质毛细对流 渐近解 

分 类 号：TK124[动力工程及工程热物理—工程热物理]