1 Copyright © 2014 by ASME
MULTI-GROUP TWO-PHASE FLOW MODEL OF DRIFT DROP PLUME
Vladimir M. Agranat
Applied Computational Fluid Dynamics Analysis
Thornhill, Ontario, Canada
Sergei V. Zhubrin
Applied Computational Fluid Dynamics Analysis
Thornhill, Ontario, Canada
Igor Pioro
University of Ontario Institute of
Technology
Oshawa, Ontario, Canada
ABSTRACT
A homogeneous two-phase multi-group model of drift drop
plumes emerging from natural draft cooling towers has been
developed and validated using the experimental data obtained in
the 1977 Chalk Point Dye Tracer Experiment (CPDTE). The
conservation equations for mass fractions of water droplets
having different sizes are solved in addition to the standard
conservation equations for mixture mass, momentum, energy,
water vapor mass fraction and turbulent quantities (turbulent
kinetic energy and its dissipation rate). Extra terms are provided
to the conservation equations for mass fractions of liquid water
to account for the drift of water drops due to their gravitational
settling. Various formulations for drift velocity and terminal
velocity have been tested and compared. The phase change
effects (condensation, evaporation, solidification and melting)
are assumed to be negligible due to specific conditions of the
experiment. The droplet-size distribution available at the
cooling tower exit and containing the 25 groups of drops is
simplified to 11 groups. Also, the 3-group and 1-group options
are considered for comparison. The individual drop deposition
fluxes and the total deposition flux are calculated and compared
with the experimental data available at the sensors located on
the 35° arcs at 500 and 1000 m from the cooling tower
centerline. The total deposition flux is calculated as a sum of
products of individual group mass concentrations of water
drops and corresponding terminal velocities. The model has
been incorporated into the commercial general-purpose
Computational Fluid Dynamics (CFD) code, PHOENICS. The
study has demonstrated a good agreement between the CFD
predictions and the experimental data on the water vapor plume
rise and the total drift deposition fluxes. In particular, the plume
rise predictions agree well with experimental values (the errors
are from 4% to 34% at different distances from the tower
centerline). The predicted deposition fluxes are in agreement
with the experimental values within a factor of 1.5, which is
well within the industry acceptable error limits (a factor of 3).
The model developed is recommended for analyzing the drift
drop plumes under the conditions similar to CPDTE conditions
of small Stokes numbers. It is easier to use and not less accurate
than the multiphase Eulerian-Lagrangian CFD models used
recently by various researchers for modeling CPDTE plume.
The model has a potential to supplant or complement the latter
in the computational analyses of gravitational phenomena in
complex two-phase flows in engineering equipment and its
environment.
INTRODUCTION
Over the past three decades, CFD (see Versteeg and
Malalasekera (1995) for more details) has been increasingly
used as a predictive tool in the analyses of plumes emerging
from industrial settings such as cooling towers, etc. It is
becoming a validated and user-friendly computational tool in
the environmental assessments of dispersion and deposition of
pollutants. The standard practice is to use the commercial
general-purpose CFD codes such as PHOENICS, ANSYS
FLUENT, ANSYS CFX, etc. for such analyses.
In particular, Markatos et al. (1987) used the PHOENICS
software for studying the behavior of cooling tower effluent
under various environmental and operating conditions. They
developed a customized homogeneous two-phase flow model
accounting for the water droplet drift via inclusion of additional
source terms into the conservation equations for mass
concentrations of water vapor and water droplets. The phase
change effects were accounted for and the specific formulae
Proceedings of the 2014 22nd International Conference on Nuclear Engineering
ICONE22
July 7-11, 2014, Prague, Czech Republic
ICONE22-30010