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环形腔内双层薄液层热毛细对毛细对流的渐近解
引用本文:李友荣,王双成,石万元,吴双应.环形腔内双层薄液层热毛细对毛细对流的渐近解[J].力学学报,2010,42(2):306.
作者姓名:李友荣  王双成  石万元  吴双应
作者单位:重庆大学动力工程学院 重庆大学动力工程学院 重庆大学动力工程学院 重庆大学动力工程学院
基金项目:国家自然科学基金资助项目(50776102);;The project supported by the National Natural Science Foundation of China(50776102)
摘    要:为了解水平温度梯度作用下环形腔内双层薄液层热毛细对流的基本特性,采用渐近线方法 获得了热毛细对流的近似解. 环形腔外壁被加热,内壁被冷却,上、下壁面绝热. 结果表明, 当环形腔宽度与内半径比趋于零时,环形腔退化为矩形腔,所得到的主流区速度场和温度场 的表达式演化为Nepomnyashchy 等得到的矩形腔内的结果;与数值模拟结果的比较 发现,在主流区渐近解与数值解吻合较好.

关 键 词:热毛细对流  环形腔  双层薄液层  水平温度梯度  渐近解
收稿时间:2008-12-04
修稿时间:2009-09-10

ASYMPTOTIC SOLUTION OF THERMOCAPILLARY CONVECTION OF THIN TWO-LAYER SYSTEM IN AN ANNULAR CAVITY
Li Yourong , Wang Shuangcheng , Shi Wanyuan , Wu Shuangying.ASYMPTOTIC SOLUTION OF THERMOCAPILLARY CONVECTION OF THIN TWO-LAYER SYSTEM IN AN ANNULAR CAVITY[J].chinese journal of theoretical and applied mechanics,2010,42(2):306.
Authors:Li Yourong  Wang Shuangcheng  Shi Wanyuan  Wu Shuangying
Institution:College of Power Engineering, Chongqing University, Chongqing 400030, China College of Power Engineering, Chongqing University, Chongqing 400044, China College of Power Engineering, Chongqing University, Chongqing 400030, China College of Power Engineering, Chongqing University, Chongqing 400030, China
Abstract:The convection phenomena in two-layer liquid systems have attracted great attention in the past two decades,mainly owing to their relevance in nature and in many engineering applications.Many works have been carried out to investigate the thermocapillary convection in two-layer liquid systems in rectangular cavities or in infinite horizontal layers.However,few studies focused on the convection phenomena in two-layer liquid systems in the annular cavity.In order to understand the basic characteristics of the...
Keywords:thermocapillary convection  annular cavity  thin two-layer system  radial temperature gradient  asymptotic solution  
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