Growth and collapse of a vapor bubble in a small tube

Confined growth of a vapour bubble in a capillary tube at initially uniform superheat: Experiments and modelling

“…This model does not take into account the gradual transition from unconfined to confined growth simulated for more complicated conditions in [13,14] and described by an approximate model by Yuan et al [22]. The assumption of constant pressure during growth immediately following nucleation is consistent with the experimental measurements of P (t).…”

Boundary integral equations as applied to an oscillating bubble near a fluid-fluid interface

“…For a review on the use of boundary integral methods in multi-component fluids see Hou et al (2001), where much emphasis is put on free surface flows and inclusion of surface tension. Several studies on the dynamics of bubbles near solid boundaries; Chan et al (2000), Wang (1998), near free surfaces: Blake and Gibson (1981), Robinson et al (2001), Wang et al (1996A and B), Zhang et al (2001) or even in confined spaces; Yuan et al (1999), can be found. To the authors best knowledge, no research seems to have been carried out for the behaviour of a bubble near a fluid-fluid interface of (imposed) different properties.…”

Vapor bubbles in confined geometries : a numerical study

“…∆r = ∆z, performing the simulations using computational domains with the same length and aspect ratio as the experimental tubes requires extremely long computation time. In view of the fact that we are focussing on the qualitative aspects of the dynamics we perform the simulations of this system on computational domains with aspect ratio of 20 A schematic of the computational domain used for these simulations is shown in figure 6.2. The bubble is created at the midpoint of the axis of the tube which means that in addition to the axial symmetry the situation is symmetric about the tube midplane as well.…”

“…In this case, a new propagation angle needs to be computed. For this Snell's law for refraction is used 20) with θ i and θ r the angles of incidence and refraction respectively. For the water refractive index we take n w = 1.3 and for the vapor n v = 1.…”

“…However, a complete understanding of the growth and collapse of the bubble in these conditions is far from trivial. Several models for the behavior of confined vapor bubbles have been developed [8,20] which had to rely on many simplifying assumptions. Despite the relative success of these models, it is clear that the full complexities of the problem…”