Numerical investigation of the deformation mechanism of a bubble or a drop rising or falling in another fluid |
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Authors: | Wang Han Zhang Zhen-Yu Yang Yong-Ming Hu Y\"ue and Zhang Hui-Sheng |
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Institution: | Department of Mathematics, Shanghai University of Finance
and Economics, Shanghai 200433, China; Department of Mechanics and Engineering Science,
Fudan University, Shanghai 200433, China |
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Abstract: | A numerical method for simulating the motion and deformation of an
axisymmetric bubble or drop rising or falling in another infinite
and initially stationary fluid is developed based on the volume of
fluid (VOF) method in the frame of two incompressible and immiscible
viscous fluids under the action of gravity, taking into
consideration of surface tension effects. A comparison of the
numerical results by this method with those by other works indicates
the validity of the method. In the frame of inviscid and
incompressible fluids without taking into consideration of surface
tension effects, the mechanisms of the generation of the liquid jet
and the transition from spherical shape to toroidal shape during the
bubble or drop deformation, the increase of the ring diameter of the
toroidal bubble or drop and the decrease of its cross-section area
during its motion, and the effects of the density ratio of the two
fluids on the deformation of the bubble or drop are analysed both
theoretically and numerically. |
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Keywords: | bubble drop buoyancy deformation mechanism VOF method |
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