The aim of this work is to present a
mathematical model of themotion of a one-component
two-phase bubbly flow in one-dimensional geometry.
Bubbles are assumed to be spherical and far enough
from each other in order to exclude reciprocal interactions.
The mathematical model is derived by means
of a phase average operation and assuming a suitable
description of the velocity field in the liquid phase,
in the neighbourhood of the bubbles. Two different
sets of experimental conditions are then simulated: a
steady motion in a convergent–divergent nozzle and
two different unsteady flows: i.e. two water hammer
transients. Both the experimental conditions considered
are well reproduced, indicating the validity of the
proposed model.