Surface tension effects on the behaviour of a rising bubble driven by buoyancy force

• Published in: Chinese physics B Vol. 19; no. 2; pp. 392 - 400
• Main Author: 王含 张振宇 杨永明 张慧生
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.02.2010
• Subjects: Bubbles; Buoyancy; Density; Incompressible flow; Liquids; Mathematical models; Surface tension; Weber number; 上升气泡; 不可压缩; 数值实验; 气泡行为; 流体流动; 浮力驱动; 表面张力; 高速度
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/19/2/026801

In the inviscid and incompressible fluid flow regime,surface tension effects on the behaviour of an initially spherical buoyancy-driven bubble rising in an infinite and initially stationary liquid are investigated numerically by a volume of fluid （VOF） method. The ratio of the gas density to the liquid density is 0.001, which is close to the case of an air bubble rising in water. It is found by numerical experiment that there exist four critical Weber numbers We1,~We2,~We3 and We4, which distinguish five different kinds of bubble behaviours. It is also found that when 1≤We2, the bubble will finally reach a steady shape, and in this case after it rises acceleratedly for a moment, it will rise with an almost constant speed, and the lower the Weber number is, the higher the speed is. When We 〉We2, the bubble will not reach a steady shape, and in this case it will not rise with a constant speed. The mechanism of the above phenomena has been analysed theoretically and numerically.