The topics in this section include:
CFX implements a model for turbulent dispersion force, based on the Favre average of the interphase drag force [90].
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Here, is
the momentum transfer coefficient for the interphase drag force. Hence,
the model clearly depends on the details of the drag correlation used
is the turbulent Schmidt number for continuous
phase volume fraction, currently taken to be
.
is
a user-modifiable CEL multiplier. Its default value is unity. These
defaults are appropriate for flows where the particle relaxation time
is short relative to turbulent timescales, that is, for a low turbulent
stokes number (see, Turbulent Stokes Number).
This is true for dispersed phases that are light relative to the continuous
phase, for example bubbles. However, for dispersed phases that are
significantly heavier than the continuous phase, it is only true for
very small particles. The default values will overestimate the turbulent
dispersion force for large, heavy particles. In this case, better
agreement with experiments can be achieved by reducing the value of
, or by making it a decreasing function of turbulent
Stokes number that is equal to unity when
, and tending to zero as
. If such
information is not available, it is recommended that you ignore the
turbulent dispersion force for particles of large Stokes number.
The model of Lopez de Bertodano (1991) [20] was one of the first models for the turbulent dispersion force:
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Unfortunately, it is not possible to recommend universal values
of for
this model.
values
of 0.1 to 0.5 have been used successfully for bubbly flow with bubble
diameters of order a few millimeters. However, values up to 500 have
been required for other situations. See Lopez de Bertodano [21] and Moraga et al.
[91].
This model is included in CFX for historical back compatibility
with CFX. However, the relatively more universal Favre Averaged Drag
model is recommended for all situations where an appropriate value
of is
unknown.