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CoHERENT
STRUCTURES in Pump-intake FLOWS: A LARGE EDDY SIMULATION (LES) STUDY
The presence of
unsteady intermittent meandering wall attached and free-surface
vortices is a common feature of pump intake flows. These vortices
are known to induce high levels of unsteady swirl inside the pump
column and negatively affect the performance of the pumps. LES is
used to predict the dynamics of the main vortical structures
(phenomena such as vortex meandering and intermittency are
investigated along with an analysis of the changes in the structure
of these large vortices in time) in the flow as well as the mean
flow statistics. These statistics are compared to the PIV data
collected by Yulin et al. (2000) on a scaled model of a pressurized
(no free surface) pump sump. For completeness results from a RANS
simulation using the SST model on a fine mesh (no wall functions are
used) are shown. The dynamic Smagorinsky model is used in LES
without wall functions. The Reynolds number in the pump column is
close to 200,000, while the physical Reynolds number in the pump
sump region is about one fifth (~40,000) of that. The unstructured
mesh in the LES simulation contains close to 5 million cells.
The long time goal
of the present work is to use LES as a predictive tool that can be
employed in the design or redesign process of pump intakes. As LES
directly resolves the most energetic coherent structures, it has
build into it much more physics compared to RANS/URANS models and
thus a much better chance to accurately capture not only the
unsteady dynamics of the vortices but also to more accurately
predict the mean flow, in particular the mean swirl distribution
inside the pipe.
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Figure. General view of the pump intake
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Figure. Sections where the comparisons with the experimental
data obtained using PIV data by Yulin et al. (2000) are made.
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Figure. General view of the computational domain. 1) Grid at
a section through the center of the pipe; 2) Grid at a section
parallel to the channel bottom close to the pump bell level; 3)
Grid near the pump bell.
VALIDATION
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Figure. Streamlines
at representative sections in the domain; 1) x2 plane; 2) x3
plane; 3) x4 plane; 4) x5 plane; 5) x7 plane. (See Figure 2 for
the positions of these planes)
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Figure. Streamlines
at different representative sections in the domain; 1) z1 plane;
2) z3 plane; 3) z5 plane. (See Figure 2 for the positions of
these planes)
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Figure. Validation:
Contours of velocity magnitude and turbulent kinetic energy (TKE)
at different
sections; 1) Velocity magnitude - x7 plane; 2) TKE - x7 plane.
(See Figure 2 for the positions of these planes)
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Figure. Contours of
velocity magnitude and turbulent kinetic energy (TKE) at
different sections;
1) Velocity magnitude - y1 plane; 2) TKE - y1 plane; 3) Velocity
magnitude - y3 plane; 4) TKE - y3 plane. (See Figure 2 for the
positions of these planes)
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Figure. Velocity
magnitude, turbulent kinetic energy (TKE) and absolute
out-of-plane vorticity contours in the z1 plane; a) Velocity
magnitude - z1 plane; b) TKE - z1 plane; c) Absolute vorticity -
z1 plane. (See Figure 2 for the position of this plane)
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Figure. Velocity
magnitude, turbulent kinetic energy (TKE) and absolute
out-of-plane vorticity contours in the z2 plane; 1) Velocity
magnitude - z2 plane; 2) TKE - z2 plane; 3) Absolute vorticity -
z2 plane. (See Figure 2 for the position of this plane)
COHERENT
STRUCTURES
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Movie 1: Dynamics of coherent structures in a plane 0.6D
from the channel bottom. (Streamlines)
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Movie 2: Dynamics of coherent structures in a plane parallel
to the sidewall 2, 0.62D away from it. (Streamlines)
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Movie 3: Pressure contours at a section cutting through the
center of the pump column showing the core of the floor attached
vortex.
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Movie 4: Dynamics of coherent structures in a plane cutting
through the center of the pump column. (Streamlines)
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Movie 5: Vorticity contours in a plane cutting through the
center of the pipe, parallel to the backwall showing the floor
attached vortex.
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Movie 6: Dynamics of coherent structures around the pump
column showed in a plane 0.53D above the pump bell level and
parallel to the channel bottom. (Streamlines)
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Movie 7: Vorticity contours around the pump column showed in
a plane 0.53D above the pump bell level and parallel to the
channel bottom.
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Figure. Contours of vorticity at different levels inside the
vertical pipe and decay of absolute circulation inside the pipe.
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Figure. Time series and power spectra at selected points
around the pump column 1) Pressure at a point 0.2D away from the
channel bottom; 2) Pressure at a point at the pump bell level;
3) Pressure at a point inside the pipe 0.9D away from the
channel bottom; 4) z-velocity at the same point.
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Figure. Energy spectrum of a point near sidewall 2 inside
the sidewall attached vortex
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