Surface tension effects on the behaviour of a rising bubble driven by buoyancy force |
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| Authors: | Wang Han Zhang Zhen-Yu Yang Yong-Ming Zhang Hui-Sheng |
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| Affiliation: | Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China; Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China |
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| Abstract: | In the inviscid and incompressible fluid flow regime,surface tension effects on the behaviour of an initially sphericalbuoyancy-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 alsofound 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 caseit will not rise with a constant speed. The mechanism of the abovephenomena has been analysed theoretically and numerically. |
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| Keywords: | rising bubble surface tension buoyancy volume of fluid (VOF) method |
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