环形液池内低Pr数流体热毛细对流的线性稳定性  

Linear stability analysis of thermocapillary convection of low Prandtl number fluid in an annular pool

作　　者：李友荣[1] 刘玉姗[1] 石万元[1] 

机构地区：[1]重庆大学动力工程学院,重庆400030

出　　处：《重庆大学学报（自然科学版）》2009年第12期1403-1407,共5页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(50776102)

摘　　要：利用线性稳定性理论分析了低Pr数(Pr=0.011)流体在环形液池内的热毛细对流,以此了解环形液池内热毛细对流的转变特性。液池外壁被加热,内壁被冷却,底部固壁和顶部自由表面均绝热。结果表明,随着液池深宽比的增加,临界Marangoni数和临界波数都逐渐减小,且当液池深宽比超过0.12后,临界波数基本不变;随着液池内外半径比的增加,临界Marangoni数会逐渐减小,但变化幅度不大,而临界波数有一个大的增加。This study uses the linear stability analysis to understand the transition characteristics of thermocapillary convection in an annular pool with low Prandtl number （Pr=0.011） fluid. The annular pool is heated from the outer cylindrical wall and cooled at the inner wall. The bottom and top surfaces are adiabatic. The results show that with the increase of the aspect ratio,the critical Marangoni number and the critical wave number decrease. When the aspect ratio exceeds 0.12,the critical wave number keeps almost constant. With the increase of the radius ratio,the critical Marangoni number decreases slightly,while the critical wave number increases.

关 键 词：线性稳定性分析 热毛细对流 低Pr数流体 

分 类 号：TK124[动力工程及工程热物理—工程热物理]