that the water velocity fluctuates periodically with the impeller sweep angle with respect to ... field will be investigated. .... points arranged in the flow field by means of the .... return flow occurs in nearly the whole channel of ... maximum and minimum peak values in flow angle .... W. Aysheshim and B. Stoffel, Rotor-stator-.
©Freund Publishing House Ltd. London
International Journal of Turbo and Jet Engines, 21, 223 - 231 (2004)
Effect of Volute Tongue on Unsteady Flow in a Centrifugal Pump
Weng-Guang Li
Department of Energy and Engineering for Power, l.angongping Road, Lanzhou, 730050, China. E-Mail:
Lanzhou University of Technology, Wen-GuangLi
85
Abstract T h e u n s t e a d y f l o w s in t h e v o l u t e of a s i n g l e - s t a g e , c a n t i l e v e r e d c e n t r i f u g a l p u m p with s p e c i f i c s p e e d o f 9 3 h a v e b e e n m a p p e d by u s i n g L D V at both best e f f i c i e n c y a n d p a r t - l o a d i n g p o i n t s r e s p e c t i v e l y w h i l e p u m p i n g w a t e r . T h e r e s u l t s s h o w that the w a t e r velocity f l u c t u a t e s p e r i o d i c a l l y with the i m p e l l e r s w e e p a n g l e with respect to m e a s u r i n g p o i n t s w h e r e t h e flow field will b e i n v e s t i g a t e d . A s t h e d i s t a n c e b e t w e e n i m p e l l e r tip and m e a s u r i n g p o i n t s increases, t h e p e r i p h e r a l c o m p o n e n t o f w a t e r v e l o c i t y d a m p s rapidly, b e c o m e s m o r e and m o r e u n i f o r m , and its p e r i o d i c a l f l u c t u a t i o n is s u p p r e s s e d c o n t i n u o u s l y . T h e m a g n i t u d e in t h e f l u c t u a t i o n is a b o u t 3 0 % - 7 0 % o f the local m e a n velocity. The f l u c t u a t i o n m a g n i t u d e in t h e How a n g l e is larger t h a n t h e m a g n i t u d e in velocity by an o r d e r o f 1-2. T h e m o r e closely t h e m e a s u r i n g p o i n t a p p r o a c h e s t o the v o l u t e t o n g u e , t h e larger t h e f l u c t u a t i o n s in velocity a n d flow a n g l e b e c o m e , and t h i s r e s u l t s in a m o r e and m o r e h e a v y e f f e c t o n t h e u n s t e a d y f l o w . The f l u c t u a t i o n s in t h e velocity and How a n g l e at p a r t - l o a d i n g p o i n t arc larger than at b e s t e f f i c i e n c y p o i n t . T h e flow pattern is n o n - a x i s - s y m m e t r i c a l a l o n g t h e i m p e l l e r p e r i p h e r y : T h e flow is d i f f u s e d in t h e v o l u t e . H o w e v e r , t h e l l o w velocity is m o r e u n e v e n , its v e l o c i t y g r a d i e n t is m o r e s e v e r e and f l o w d i f f u s e s m o r e heavily at p a r t - l o a d i n g p o i n t than t h a t at best e f f i c i e n c y p o i n t .
Keywords: c e n t r i f u g a l p u m p , v o l u t e , internal flow, u n s t e a d y llow
1. Introduction
also results in an unbalanced pressure distribution along the impeller periphery, which will contribute
Based on fundamentals of fluids dynamics, the
to an additional radial force on the impeller. The two
essential features of fluid flow in turbomachinery
forces will introduce vibration on the shaft of pumps
impellers have been investigated (Dean, 1959). The
and has a negative effect on the pump operation.
results showed that fluid velocity pressure, etc.,
Furthermore, the unsteady flow in the volute or
varied from blade suction side to pressure side: the
diffuser of pumps will create noise. The problems of
flow out of the impeller was non-uniform, and led to
vibration and flow noise owing to unsteady flow
an unsteady flow in geometry elements behind the
must be addressed for centrifugal pumps with high
impeller, such as the diffuser or volute. On the other
head and speed.
hand, the geometry elements behind the impeller will have an influence on the fluid flow inside the impeller.
Therefore,
between
impellers
a
heavy
(rotors)
and
fluid the
rotor-stator
interaction
the
present
time,
the
impeller-diffuser
interaction
(Eisele et al., 1997; Akhras et al, 2002; Aysheshim,
geometry
2002; Wuibaut et al., 2002). However, the impeller-
elements (stators) should exist. The
At
interaction has been tackled by many researchers
volute interaction has been explored by only few also
occurs
in
scholars (Yuasa and Hinata, 1979; Parrondo et al.,
only
2002; Gonzalez et al., 2002). The unsteady pressures
generates an unsteady fluid dynamic force acting on
on the casing wall of the volute, the wall vibration
the impeller by liquid in the tangential direction, but
and noise generated by flow in a centrifugal pump
centrifugal
pumps.
The
interaction
not
Brought to you by | Glasgow University Library (Glasgow University Library) Authenticated | 172.16.1.226 Download Date | 3/18/12 5:31 PM
223
224
were
measured
(Yuasa
and
Hinata,
1979).
The
2. Experimental Set-Up
results showed that the fluctuating pressure due to the
interaction
between
impeller
and
volute,
2.1. Test Pump
especially the tongue of the volute, has a close
The test p u m p is the single-stage, cantilevered
relation to flow noise and casing wall vibration. T h e
centrifugal pump whose f l o w rates are 25mVh, head
pressure fluctuation with blade passing frequency
8m, rotating speed I485r/min and specific speed 93*,
was observed by using sensors. T h e pressures with
respectively. The impeller and blade were designed
respect to t w o impellers of different diameter have
by means of one-dimensional flow theory, the eye
been recorded and simple acoustic models have been
diameter
established ( P a r r o n d o et αϊ, 2002). The properties of
diameter 180mm, the n u m b e r of blades 4 and the
acoustic sources were established after fitting the
discharge
available experimental data of pressure fluctuations
rectangular shape with a width of 4 0 m m and throat
in volute by m e a n s of a least-square error procedure.
area of I 4 4 0 m m : . Figure 1 illustrates the geometry
T h e interaction between impeller and volute tongue
of
plays an important role in pressure fluctuations and
measuring points as well as the three glass w i n d o w s
flow noise
for LDV measurement.
generation.
The
pressure
fluctuations
the
of
the
impeller
angle
20°.
impeller,
is
The
62mm,
section
volute
and
the
of
the
outlet
volute
locations
is
of
o w i n g to tongue in the volute of a centrifugal p u m p were measured by use of both piezo-resistive and piezo-electric pressure sensors installed around the volute wall ( G o n z a l e z et al2002). demonstrated
that
the
effect of
The tongue
results on
the
pressure oscillation is transmitted both upstream and d o w n s t r e a m of the volute tongue. Obviously, the research issues mainly focus on the relation between the volute tongue and the flow noise, as well as pressure fluctuation properties due 270"
to the tongue in the impeller-volute interaction in centrifugal p u m p s : this has led to quite a few current experimental
observations,
whose
aim
is
Fig. I: Impeller, volute and measuring points
to
investigate the features of unsteady fluid flow in the volute
of
measurements
centrifugal of
pumps.
unsteady
flow
The
LDV
have
been
p e r f o r m e d at various locations in three sections in
2.2. LDV System T h e apparatus used is a four-beam, two color
the volute of a single-stage, cantilevered centrifugal
(blue
p u m p w h o s e flow rates are 25m 7h. head 8m and
dimensional
rotating speed I485r/min respectively. T h e working
system is composed of nine parts: (1) Argon ion
liquid is tap water and working conditions for L.DV
laser source, 2 . 5 W ,
tests are both best efficiency and part-loading points.
model 9 2 0 1 , probe and optical fibers, (3) ColorLink|j
T h e experimental data have shown that the more
model 9230, (4) Digital data processor. IFA750, (5)
closely the measuring points approach to the volute
turbomachinery
tongue, the m o r e the flow fluctuates, and the more
encoder, (7) Personal c o m p u t e r ( P C ) model 4 8 6 / 2 5 .
clearly the unsteady feature is demonstrated.
(8) Oscilloscope, (9) Three-rectangular
The
farther the points f r o m the tongue, the more uniform
and
green),
back-scattered
LDV system produced
mode,
two-
by TSI.
The
I N N O V A 7 0 , (2)
resolver,
model
1989,
ColorBurst,
(6)
coordinate
traverser.
the velocity distribution. «V
3.65n[r/min]
to m
Brought to you by | Glasgow University Library (Glasgow University Library) Authenticated | 172.16.1.226 Download Date | 3/18/12 5:31 PM
!H[ m
shaft
i() 75
225
The cannot
measuring rotate
with
volume the
of the
impeller
LDV shaft,
system and
extracted from the data files by means of a program developed in-house.
is
stationary. Hence, a shaft encoder has been installed on the end of the motor shaft to record the impeller sweep angle past the measuring volume and to set up
2.4. Working Liquid and LDV Test Conditions
an exact one-to-one relation between data sampled and the impeller sweep angle. After the ensemble
The working liquid is tap water, in which there
averages for the data sampled are performed by data
are a lot of sojid particles. These particles, never-
processing software PHASE provided by TS1, the
theless, can be used as seeding particles of LDV.
unsteady
Figure 2 demonstrates the hydraulic performance
flow velocities
in the
volute
will
be
curves of the test centrifugal pump under a rotating
available. The LDV probe can be moved to measuring
speed of 1485 r/min. The symbols Q, Η, Ρ and η
points arranged in the flow field by means of the
stand for the flow rate, head, shaft power and effi-
three-rectangular coordinate traverser, then the data
ciency of the pump respectively. The words BEP
sampling and processing, etc., can be conducted by
and PLP denote the working condition for the LDV
applying the PC.
test. The flow rate is Q n E P = 5.933 L/s at best efficiency point (BEP), Q = 0.58 Q w v
at part-
loading point (PLP). Reynolds number Re = D2U2/v
2.3. Measuring Points Distribution
2.5 χ I0 6 , where D2 is diameter of impeller, (J2 is
The unsteady velocity measurements take place
impeller speed tip, v, the kinematic viscosity
in three sections of the volute, i.e., sections IV. VI and VIII. These sections are located at angle 0 =
mental results confirmed that the uncertainty
180°, 270°, 360°, which are marked in Fig. I. The
of
efficiency is 0.76% ~ 1.15%. The uncertainty of
measuring points have been distributed, as shown in
LDV in velocity is 1.8%, and the uncertainty of
Fig. I. on the central line of the section, that is,
measuring point location is 5.0%. Therefore, the
through the middle of the impeller blade span. The
total uncertainty of the LDV system will be 5.3%.
impeller sweep angle φ past measuring points will be determined automatically by the turbomachinery
100
resolver based on its selected work mode, impulse
9»)
80
numbers per revolution for sampling, number of
70
sectors and windows opened. Table I illustrates the
Μ
£CL·,
geometrical locations of the measuring points.
50 ξ. Γ40 30
The data flies in ASCII format, which include
20 10
the absolute velocity and other information about
υο
flow at each measuring point, can be worked out by using program PHASE equipped in LDV system.
2: Pump performance curves
The velocity and other useful information can be
Table I Geometrical locations of measuring points in LDV measurements Κ (mm)
2
5
10
15
20
25
30
35
R/R2
1.022
1.056
I 1 11
1.167
1.222
1.278
1.333
1.389
Y coordinate from measuring point to impeller tip R
of
water at 20°, is ν = 1.06 χ I0" 6 m 2 /s. The experi-
distance from the point to geometrical center of impeller
R2 radius of impeller
Brought to you by | Glasgow University Library (Glasgow University Library) Authenticated | 172.16.1.226 Download Date | 3/18/12 5:31 PM
226
3. Results and Discussion
impeller s w e e p angle at measuring points in the volute. T h e r e are f o u r periodicities, which are equal
J. 1. Velocity Variation along Radius Figure
3
illustrates
the
to the n u m b e r of blades of the impeller, at the angle the
interval o f 360°. T h e positions o f Vr » 0 or α χ in
tangential c o m p o n e n t V,„ radial c o m p o n e n t Vr and
variations
of
abscissa, where the tangential c o m p o n e n t of velocity
flow angle a o f absolute velocity o f water at the
is m i n i m u m , should correspond to the trailing e d g e s
measuring points of Y = 2 m m , 10 m m , 2 0 mm in
of blades at the m e a s u r i n g point Y = 2 m m . T h e
section VI (Θ = 2 7 0 ° ) at best e f f i c i e n c y point. T h e
intervals c o v e r i n g these positions should correspond
f l o w angle is defined as the angle between
the
to the flow p a s s a g e s of the impeller. T h e figure
absolute velocity and the impeller rotating direction.
illustrates that the absolute velocity distribution is
T h e abscissa stands f o r impeller s w e e p angle φ past
uneven at impeller discharge, and leads the velocity
measuring points. T h e
entering the volute to depend upon the sweep angle
ordinate
denotes
the
two
velocity c o m p o n e n t s and flow angle, respectively. In fact, the ensemble revolutions
two
components
average of
of
the
are
data
impeller
obtained
sampled via
the
or time elapsed; that is, the flow is unsteady.
through
Nevertheless, the magnitude of absolute velocity ,
in
many
especially the tangential c o m p o n e n t , d a m p s rapidly
LDV
data
and b e c o m e s m o r e and m o r e uniform; its periodical
processing program P H A S E . T h e increase direction
fluctuation is suppressed gradually with the increase
o f the impeller sweep angle φ is also the increase
in
diretion o f sampling time. T h e d e c r e a s e direction is
impeller tip. T h i s p h e n o m e n o n implies that, because
the rotating direction of the impeller. T h e r e f o r e , Fig.
of the turbulent m i x i n g o f low. the w a k e fluctuation
3 demonstrates essentially the variation of velocity
behind the impeller gradually w e a k e n s and b e c o m e s
with time elapsed at m e a s u r i n g point in the volute.
uniform.
e=27«·
Y=10mm Y*20nim Y*20inm
2
-
_
120
1B0
240
300
illustrates
measuring
the
points
variations
^ r
I ι .
60
4
between
Q=1.0Qssb 1*270·
Qsl.OQ.,
0
distance
Figure
T h e absolute velocity varies periodically with the
A
the
360
0
60
120
180
240
Y=2mm Y=10mm Y=20mm
300
360
0
60
120