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SURFACE TENSION EFFECTS ON THE BEHAVIOR OF TWO RISING BUBBLES

SURFACE TENSION EFFECTS ON THE BEHAVIOR OF TWO RISING BUBBLES

作     者:WANG Han ZHANG Zhen-yu YANG Yong-ming ZHANG Hui-sheng WANG Han State Nuclear Power Technology Corporation Research and Development Centre, SNPTRD, Beijing 100190, China, ZHANG Zhen-yu Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China YANG Yong-ming, ZHANG Hui-sheng Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China

作者机构:State Nuclear Power Technology Corporation Research and Development Centre SNPTRD Beijing 100190 China Department of Mathematics Shanghai University of Finance and Economics Shanghai 200433 China Department of Mechanics and Engineering Science Fudan University Shanghai 200433 China 

出 版 物:《Journal of Hydrodynamics》 (水动力学研究与进展B辑(英文版))

年 卷 期:2011年第23卷第2期

页      面:135-144页

核心收录:

学科分类:081704[工学-应用化学] 07[理学] 070304[理学-物理化学(含∶化学物理)] 08[工学] 0817[工学-化学工程与技术] 0805[工学-材料科学与工程(可授工学、理学学位)] 080502[工学-材料学] 0802[工学-机械工程] 0703[理学-化学] 0701[理学-数学] 0702[理学-物理学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 0801[工学-力学(可授工学、理学学位)] 

基  金:Project supported by the National Natural Science Foundation of China (Grant Nos. 10672043, 10272032) supported by the Staff Innovation Foundation of State Nuclear Power Technology Corporation Ltd. (SNP-KJ-CX-2011-0004) 

主  题:two bubbles buoyancy surface tension VOF method 

摘      要:In the inviscid and incompressible fluid flow regime, surface tension effects on the behavior of two initially spherical bubbles with same size rising axisymmetrically in an infinite and initially stationary liquid are investigated numerically with the VOF method. The numerical experiments are performed for two bubbles with two different bubble distances. The ratio of gas density to liquid density is 0.001, which is close to the case of air bubbles rising in water. In the case of Dis = 2.5, where Dis is defined as the ratio of the distance between the bubble centroids to the radius of the bubble, it is found from numerical experiments that there exist four critical Weber numbers We1 , We2 , We3 and We4 , which are in between 10 and 100, 3 and 4, 1.5 and 1.8, and 0.2 and 0.3, respectively. In the case of Dis = 2.3, similar phenomena also appear but the corresponding four critical Weber numbers are lower than those in the case of Dis = 2.5. The mechanism of the above phenomena is analyzed theoretically and numerically.

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