We consider gas injection through a circular plate orifice into an ide
ally wetting liquid which results in the successive detachment of bubb
les, each of which is regarded as a separate entity. At normal gravity
and at relatively low gas dow rates, the growing bubble is modelled a
s a spherical segment that touches the orifice perimeter during the wh
ole time of its evolution. If the gas flow rate exceeds a certain thre
shold value, a second stage of the detachment takes place that follows
the first spherical segment stage. In this second stage, a nearly cyl
indrical stem forms at the orifice that lengthens as the bubble rises
above the plate, and this stems feeds an almost spherical gas envelope
situated at the stem upper end. At high gas how rates, bubble shape r
esembles that of a mushroom, and its upper envelope continues to grow
until the gas supplied through the stem is completely cut off. This se
cond stage always develops when gravity is sufficiently low, irrespect
ive of the gas dow rate. There are two major factors that determine th
e moment of bubble detachment: the buoyancy force and a force due to t
he momentum flowing into the bubble with the injected gas. The buoyanc
y force dominates the process at normal gravity whereas the inflowing
momentum force plays the key role under negligible gravity conditions.
As gravity fluctuates, the interplay of these forces drastically infl
uences bubble growth and detachment. At sufficiently low gravity, the
bubble formation frequency is proportional to gas flow rate whereas th
e bubble detachment volume is independent of gas dow rate. At normal a
nd moderately reduced gravity conditions, when the gas how rate grows,
bubble formation frequency slightly decreases and bubble detachment v
olume increases almost linearly. Effects of other parameters, such as
the orifice radius, gas and liquid densities and surface tension coeff
icient are discussed. Copyright (C) 1996 Elsevier Science Ltd