A. Tomiyama et al., NUMERICAL-ANALYSIS OF A SINGLE BUBBLE BY VOF METHOD, JSME international journal. Series B, fluids and thermal engineering, 36(1), 1993, pp. 51-56
In order to examine the feasibility of direct simulation of bubbly flo
w, the applicability of the VOF (volume of fluid) method to analyses o
f a single rising bubble was examined in this study. Calculated bubble
shapes and terminal velocities under wide ranges of Eotvos number and
Morton number were compared with the experimental data summarized by
Grace et al. Except for the cases in which bubble shapes were spherica
l-cap and skirted, the VOF method could predict them well by assigning
only eight cells to the bubble diameter. Hence, it was confirmed that
some modification of this method will enable us to simulate bubbly fl
ow directly under a wide range of flow conditions. The relationship be
tween bubble shape and velocity distribution was also examined within
the ranges in which the VOF method is valid. It was found that the sec
ondary vortex appearing in wobbling bubbles induces a velocity compone
nt normal to the bubble interface, and this velocity is one of the cau
ses of the wobbling shape of the bubble.