环形液池内耦合热-溶质毛细对流转变过程的二维数值模拟  

Two-dimensional Numerical Simulation for Flow Pattern Transition of Thermal-solutal Capillary Convection in an Annular Pool

作　　者：唐经文[1] 周永利[1] 龚振兴[1] 李友荣[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：《材料导报》2012年第20期134-137,共4页Materials Reports

基　　金：国家自然科学基金(51176209)

摘　　要：为了解环形液池内耦合热-溶质毛细对流的转变特征,建立了环形液池内的耦合热-溶质毛细对流的物理数学模型,采用有限容积法进行二维数值模拟,得到了环形液池内耦合热-溶质毛细对流失稳的临界条件,并对耦合热-溶质毛细对流失稳机理进行了分析。结果表明:环形液池内流态从稳态到非稳态的转变为霍普夫分岔;随着深宽比、半径比和普朗特数的增加,流动更容易失稳;当刘易斯数大于1时,临界毛细雷诺数随着刘易斯数的增大而减小,流动失稳是由于溶质Marangoni效应的主导作用和流动的惯性共同作用的结果;而当刘易斯数小于1时,随着刘易斯数的增大,临界毛细雷诺数增大,流动失稳则是由于热Marangoni效应的主导作用和流动的惯性共同作用的结果。In order to understand the transitional characteristics of thermal-solutal capillary convection, the physical and mathematical models of thermal-solutal capillary convection in annular pool were established, and two-di- mensional numerical simulation was conducted using the finite-volume method. The critical Reynolds number for the flow pattern transition from steady to unsteady flow was obtained. In addition, the transition mechanism was ana- lyzed. The results show that the transition from the steady to oscillation flow undergoes a supercritical Hopf bifurca- tion. With the increase of the aspect ratio, radius ratio and Prandtl number, the flow loses its stability easily. Fur thermore, when Lewis number is greater than 1, with the increase of the Lewis number, the critical Reynolds number decreases, the steady thermal-solutal capillary convection loses its stability for the coupling interaction of the leading role of solute Marangoni effect and the flow inertia. However, when Lewis number is less than 1, the critical Rey- nolds number increases with the increase of the Lewis number, the steady thermal-solutal capillary convection loses its stability for the coupling interaction of the leading role of thermal Marangoni effect and the flow inertia.

关 键 词：热-溶质毛细对流 转变 环形液池 数值模拟 

分 类 号：O79[理学—晶体学] TK124[动力工程及工程热物理—工程热物理]