A new method is developed to solve the three-dimensional hydrodynamic field generated by multiple bubbles, which are arbitrarily configured at low Reynolds number, taking the effects of both bubble interactions and the slight deformation of the bubble surface into consideration, for the case of ∈=We / Re<<1.The numerical results for the case of two equi-radial bubbles confirm the validity of this method with the restriction that the gap between the two bubbles is to be not less than half of the radius. It is shown that the hydrodynamic force acting as drag is smaller in the case of a bubble moving away from another stationary bubble than in the case of one bubble approaching another. This difference is explained as the nonlinear effect originating from the bubble surface deformation.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing