… using this method. Although there have been many studies on the motion of a rising bubble“),
most of the numerical analyses are … In the present study, much attention is paid to the …

… In the present study, the transitional phenomena of the initially spherical bubble in reaching
the steady state are investigated. It is known experimentally that the rising bubble begins to …

… Because the origin of the non‐inertial coordinates system has been fixed at the bubble's
geometrical centre, the outer boundary of the computational domain (R→=R→ ∞ in Figure 1(a)) …

… Making use of the boundary- tted curvilinear coordinate system and the Lagrangian method,
… a ¢xed-size bubble is computed using the numerical methods developed in this study. The …

… In this paper, transient analyses performed on rising bubbles provides detailed information
on the transient behavior and understanding on the effects in the properties of the interface …

… study the behavior of gas bubbles rising through a viscous liquid in a vertical square duct
numerically… In the case of the calculation based on a rectangular coordinate system, Esmaeeli“) …

… In the present study, it is assumed that the bubble starts to depart from the surface at the …
departure angle is defined as the angle when the bubble begins to depart from the surface. It is …

… In the present study, the transitional phenomena of the initially spherical bubble in reaching
the steady state are investigated. It is known experimentally that the rising bubble begins to …

… The approach via boundary fitted coordinates allows for proper … bursting at a free surface,
following an earlier numerical study on … Until recently use of boundary fitted coordinate systems …

… using a finite difference technique and a boundary-fitted coordinate system. They also applied
their … In this study, one case involves the growth of a spherical bubble, in which a spherical …