A. Attou et al., MODELING OF STEADY-STATE 2-PHASE BUBBLY FLOW-THROUGH A SUDDEN ENLARGEMENT, International journal of heat and mass transfer, 40(14), 1997, pp. 3375-3385
A global formulation of the conservation laws (mass, momentum and ener
gy) is applied to a two-phase, two-component flow through a sudden enl
argement. The assumption of thermal equilibrium of the phases is accep
table. However, due to the difference in the mechanical inertia of the
phases, the kinematic non-equilibrium effect has to be taken into acc
ount. In order to determine the role of mechanical non-equilibrium two
assumptions are made, which can be considered as two limited cases. F
irstly, an infinite momentum transfer coefficient (mechanical equilibr
ium model) is assumed: an analytical solution can be obtained when the
gas is ideal. Secondly, no momentum transfer can occur between phases
(mechanical frozen model) : an approximate analytical solution is obt
ained in this case. The comparison in terms of singular pressure varia
tions between the results of these two models and the experimental dat
a of other authors for air-water mixtures shows clearly that both mode
ls indeed simulate two extreme conditions. New experimental data were
obtained for two-phase air-water bubbly flow through an axisymmetric a
nd horizontal sudden enlargement. A new physical model approximately t
aking into account the effects of the interfacial drag of the bubbles
is developed, and compared favourably with the data in the literature
and the new data. This model shows a rather limited dependence with re
spect to the reduced bubble diameter. (C) 1997 Elsevier Science Ltd.