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Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
            Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 3, Issue 1, January -February 2013, pp.516-522
   The Characteristics of a Vertical Submersible Slurry Pump in
                  Transporting Dredged Slurry
           Prasanta Kumar Sen*, Lal Gopal Das** & Biswajit Halder***
           *
            (PPE, CSIR-Central Mechanical Engineering Research Institute, Durgapur-713209, India)
          **
            (PPE, CSIR-Central Mechanical Engineering Research Institute, Durgapur-713209, India)
                     ***
                        (ME, National Institute of Technology, Durgapur-713209, India)


ABSTRACT
         The performance of vertical centrifugal          of the centrifugal slurry pump depends on particle
slurry pump is quite different from clear water           size, size distribution, shape, solid concentration,
pump due to presence of solid particles in water.         solid specific gravity, pump speed and certainly on
An approach to derive the performance                     the pump geometry. The presence of solid particles,
behaviour of a vertical centrifugal pump used for         specifically coarse particles, in the fluid always
transporting dredged slurry based on detail               breaks fluid continuum. The bigger the particle size
hydraulic loss analysis has been presented in this        worse is the effect. In most of the slurry pumping
paper. The derived analytical data has been               system, particle size distribution is uneven, i.e., it is
compared        with      experimental     results.       mixed with fine, medium and coarse particles and it
Performance analysis of a vertical submersible            is called heterogeneous slurry.
centrifugal slurry pump has been accomplished                       Previous researchers like Sellgren [1],
in two stages.          At first, performance             Gahlot, et al. [2] and many other eminent
characteristics of the centrifugal pump with clear        researchers     developed       empirical    formulae
water have been investigated considering an in-           correlating head reduction ratio (RH) with solid
depth hydraulic loss analysis. Depending on the           concentration by weight, solid specific gravity and
particle size distribution, the effect of solid           particle size. Performance prediction utilizing
particles on the performance characteristics of           empirical correlation carried out by them with the
centrifugal slurry pump has been investigated             error band of ±12% to ±20 % for the test slurry.
considering volume fraction of particle size. The
homogenous slurry with fine particles has been                        Pump head with slurry, H s
treated as Newtonian fluid with slurry viscosity          RH  1                                                     (1)
and specific gravity. Additional hydraulic losses
                                                                      Pump head with wate r, H w
due to coarse solid particle have been considered
for coarse slurry fraction. The performance of                      The present work has been conducted with
the vertical centrifugal slurry pump has been             the objective of detail analysis of several hydraulic
predicted with the accuracies of about 87% and            losses occurring in the pump. The fine slurry has
90 % for respective solid concentration of 18%            been considered as Newtonian fluid. The same
and 10% by volume near the maximum efficiency             hydraulic analysis method has been adopted for the
point. The drooping performance characteristics           fine slurry with the slurry viscosity and specific
at low flow operation have been found                     gravity as presented for the centrifugal pump
deteriorating further with the increase of solid          handling clear water. Additional hydraulic head
concentration.                                            losses due to the presence of coarse solid particles
                                                          have been deducted from the fine Newtonian slurry
Keywords – Centrifugal, Diffuser, Impeller, Slurry        head by applying the approach as postulated by
                                                          Roco, et al. [3]. The prediction of the performance
I. INTRODUCTION                                           characteristics of the centrifugal slurry pump has
          Centrifugal slurry pumps are mostly found       been improved by considering the volume fraction
in transporting solid grains with carrier fluid through   of the solid particles.
the pipe lines to the destined point in the process
industries like cement plant, petrochemical plants        II. Test Rig & Experimentation
and fertilizer plants, etc. Performance characteristics            The pilot seabed mining was carried out
of any centrifugal pump significantly differ in the       from an anchor barge near the Kalvadevi bay of
presence of solid particles in the fluid from clear       Ratnagiri, Maharashtra, India. The seabed mining
fluid characteristics. The slurry of uniform particle     was carried out by a dredge head with water jets.
size is hardly found in industries, rather in most of     The dredge head as shown in “Fig. 1” contains a
the application particle size varies from few microns     water distributor (1) which provides pressurized
to the order of mm. The performance characteristics       water to a series of nozzles (2) housed in an agitating




                                                                                                   516 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
            Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 3, Issue 1, January -February 2013, pp.516-522
chamber (3). The pressurized water is supplied
through feed line (4) and distributed to the nozzles.      Table -1
          Water jets from the nozzles cut the seabed       Pump Details
resulting formation of slurry in the dredge head. The      Rated Capacity                  240 m3/hr
solid concentration in the dredge head is varied by        Head                            25 m
controlling the nozzle jet velocity.                       Capacity Range                  75 – 400 m3/hr
          The test rig of the seabed dredging system       Motor Power                     35 HP
is as shown in “Fig.-2” .The dredge head (1) is
                                                           Speed                           2,900 rpm
suspended from a crane (2) and placed on seabed.
                                                           No. of stage                    single
The horizontal centrifugal pump (3) mounted on the
equipment barge (4) sucks sea water through flexible       No of vanes in impeller         4
hose (5) and discharges high pressure water through        Impeller blade inlet angle      18o
delivery pipe (6) to the dredge head(1).                   Impeller blade outlet angle     22.5o
          The pressurized water released from a set        Impeller diameter               198 mm
of nozzle cuts seabed resulting formation of solid-        No. of vane in diffuser         8
water slurry in the agitation chamber of the dredge        Water Properties
head (1).The vertical submersible slurry pump (7)          Pumping water                   Sea water
mounted on the dredge head (1) sucks slurry from           Temperature                     0 – 20 oC
the dredge head and delivers through discharge             Specific gravity of clear sea   1.028 – 1.034
flexible hose (9) and slurry pipe to the hopper barge      water
(8). A by pass line (10) with flow control valve (11)      Kinematic viscosity (m2/s)      1.83x10-6 to 1.05x10-6
regulates the pressurised water supply to the dredge       Solid Properties
head without          disturbing the performance
characteristics of the water supply pump(3). Power
to the equipment is supplied by 320 kVA Diesel             Type                            Seabed sand
Generator Set mounted on the equipment barge.
          Data Acquisition System for recording
online data in computer has been installed. Magnetic       Specific gravity                2.7 to 3.5
flow meter (14), pressure transmitter (15), and            Particle size (mm)              0.035 to 0.350
ultrasonic solid concentration meter (16) mounted on
slurry pipe line. Pressure transmitter (17) &
magnetic flow meter (18) are installed on the clear
water pipe line (6). Signal conditioner circuitry
converts signal sensed by the respective transducer
in to electrical signal which is transferred to a master
controller via RS 485 communication port. Master
controllers transmit Data to a personal computer via
RS 232 –C port for on line display and recording in
the hard disk. The investigated pump is single stage
centrifugal impeller and diffuser type casing. The
details of the pump and characteristics of sea water
and sea bed sand are listed in Table- 1

III. Performance Characteristics with Clear
Water
III.1 Eulers Head
The energy imparted to the pumping fluid per unit
weight of the fluid with infinite number of blades is
popularly known as Euler’s pump head.
          u 2 c 2 - u 1c 1
H th                                    (2)
                   g
Considering zero inlet pre-rotation of fluid in the
design.
          u 2 c 2
H th                                    (3)
             g




                                                                                               517 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
          Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                  Vol. 3, Issue 1, January -February 2013, pp.516-522




                                    Fig 1 Dredge Head




                                      Fig 2 Test Rig




                                                                              518 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
            Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 3, Issue 1, January -February 2013, pp.516-522
III.2 Slip                                        Table. 2 Hydraulic losses
         Fluid rotates in the reverse direction of       Local Hydraulic Losses
impeller rotation at the impeller speed after            Shock                            2
entering into the rotating impeller from stationery      Losses,                     w θi
                                                                     h inc  k inc          ,
condition. Thus, a reverse circulation is set-up in      Conrad et                     2g
blade to blade flow passages. These relative eddies      al. [5]
                                                                     kinc = 0.5 to 0.7
at the outer edge of the impeller will have                                                               (6)
circumferential velocity (cөs) in the opposite
                                                         Mixing       hmix        1  1   wake   B 
                                                                                      1 
                                                                                              1   wake  
                                                         Losses,
                                                         Johnston et ci       1 i 
direction of the outlet whirl velocity (c Ө2) and is                      2
                                                                                                             
known as slip velocity (cөs)
                                                         al. [6],      2g
                                                         Mizuki et                                        (7)
                                                                                c
                                                         al. [7]         i  2
                                                                                 cm 2
                                                                                         1 w2
                                                                         wake  1 
                                                                                        0.45 wm ax
                                                         Secondary Hydraulic Losses
                                                         Blade                           2
                                                                                    2 u2
                                                         Loading     hbl  0.05D f                   (8)
                                                         Losses,                      2g
                                                         Galvas [8]                        0.75H th1
                                                                        D f  0.3 
                                                                                          w1 z    D      D
                                                                                               1  1   2 1
                                                                                                D 
Fig. 3. Outlet effective velocity triangle with slip                                      u2      2     D2
velocity
         It is depicted in “Fig. 3”. It has been
studied by many researchers that Weisner’s[4] slip                                  u 2 c 2
model gives realistic slip factor and same has been
                                                                          H th1          2
                                                                                     u2
considered for the present work.
                                                         Friction
           c
   f  1  s                                           Skin                  1 2 L
           u2                                            Friction,      hf      wm                          (10)
                                                         Musgrave              2      dh
            sin  2                           (4)
 f 1                                                  [9]              1             w d     
             z 0 .7                                                           2 log 10  m hm    0.8
         u c - c                      (5)
                                                                                              
H th    2  2 s                                       Clearance Flow
                g                                         Clearance q  zsLu
                                                                       cl       cl
                                                         losses,                                                     (1
                                                         Augier                    Pcl
III.3 Hydraulic losses in the impeller                               u cl  0.816                                    1)
          The fluid while passing through the            [10]                           
impeller or diffuser flow passages encounters                                    Qr2 c 2  r1c1 
several hydraulic losses which reduces the effective                    Pcl 
head developed by the pump. Roco et al [6]                                                    zrb
classified the hydraulic losses as local hydraulic                       r  r 
                                                                       r 1 2                   b
                                                                                                        b1  b2 
losses, secondary hydraulic losses and frictional                                       2                            2
losses. The optimum hydraulic loss model has been
considered in the present study which is shown in
Table-2.
                                                       IV. Property of Homogeneous Solid Liquid
                                                       Mixture:
III.4 Diffuser Losses
                                                                It has been experimented that particles of
         Hydraulic losses in the diffuser are
                                                       size below 70 µm remains suspended
calculated in the similar manner as impeller but a
                                                       homogenously in water. Viscosity of such fine
stationary frame of reference is considered.
                                                       solid liquid homogeneous mixture has been
                                                       calculated using Thoma’s [11] correlation and
                                                       mixture specific gravity as listed below.




                                                                                                    519 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
            Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 3, Issue 1, January -February 2013, pp.516-522
                                                                                            2

                                            
                                                                               v*         1
m  w 1  2.5Cv  10.5Cv
                            2            2
                                                        (12)       Frsl 
                                                                          ad p ( s  1)  s l
                                                                                                                               2
          100                                                                                                             c
m                                              (13)             Where,                                               a  2 ,
     C w (100  Cw )                                                                                                       r2
        
     s       w                                                                                 c'
                                                                  v* 
                                                                                              b 
V. Effects Of Solids on Pump Performance                                   5.98  5.75 log10  2 
          The centrifugal pump behaves in a quite                                             2kimp 
                                                                                                    
different manner in presence of solid particles in                                                     0.5
the pumping fluid. Solid particles can slip from the                               a
carrier fluid, i.e., the particles move at a slower or a          W (a, C v )  Wo   (1  C v ) E
                                                                                   g
faster velocity than the carrier fluid or it can move                               
with same velocity as carrier fluid depending on                  The value of E is taken from E vs. Particle
the particle size, particle specific gravity and solid            Reynolds Numbers curve as given by Gandhi, et al.
concentration.                                                    [12]
          Roco, et al. [6] considered the additional
head losses due to presence of solid particles in the             H     f
                                                                                         1100Cw(s  1)
                                                                                                             gd p Wo               (17)
                                                                   H 
                                                                                   sl
fluid. They classified the hydraulic losses in three
classes, viz., local losses, secondary losses and                      f       f
                                                                                                              c2 c
frictional losses. The additional hydraulic losses
due to the presence of solid particles have been                  VI. Experimental Uncertainty.
estimated by correlation with three non-                          Table. 2 Uncertainty of the instrument
dimensional numbers namely, particle Reynolds                     Instruments         Make                             %     of
number, Froude number and pump specific speed.                                                                         Error
It has been observed that the solid particle sizes                Magnetic                Flow     Manas               0.75%
below 70 µm remain homogenously suspended in                      Meter                            Microsystems Pvt
the fluid and such particles are treated as fine                                                   Ltd, India
particles. Homogenous slurry of fine particles in                 Pressure                         WIKA                0.50%
which particles are evenly distributed behaves like               Transmitter                      Instruments India
a clear continuum liquid and it can well be treated                                                Pvt. Ltd
as Newtonian fluid with its specific gravity and                  Ultrasonic Solid                 Rhosonics           0.10%
viscosity. Coarse particles (70 to 350 µm) are                    Concentration                    Analytical BV,
unevenly distributed in the fine homogeneous                      meter                            Netherland
slurry. The analysis has been done considering
coarse particle mean size, d50 = 250 µm and that of
the fine particles are of 50 µm. The hydraulic
                                                                  VII Results and Discussion
                                                                            The performance test of a vertical
losses have been estimated considering two volume
                                                                  submersible slurry pump has been accomplished
fraction of particles as described above. In brief,
hydraulic losses occurred in the pump flow passage                with 18 % and 10 % solid concentration by volume
are caused by fine homogenous slurry fraction and                 and same has been done analytically. It has been
the additional losses by the coarse slurry fraction.              observed that analytical performance curve
Hydraulic losses (HL) for centrifugal slurry pump                 matches very closely to experimental curve at the
                                                                  best efficiency point (bep) ( 254 m3/ hr.) with the
are analysed as below.
                                                                  accuracy of about 87% and 90% for solid
                                                                  concentration by volume (C v) of 18% and 10%
 HL       total      HL f   HLsl
                                                          (14)    respectively. The present experimentation has been
H                                     Re sl
                                                                  conducted from minimum to maximum flow rate
                     297C v ( s  1)
      sf       sl                                                 with clear water as well as with slurry by opening
 H sf    f
                                         Ns
                                                          (15)
                                                                  the discharge valve gradually. It has been observed
                                                                  that the predicted and the experimental
H loc sl             10.8Cv  s  1                          performance curve intersect at some flow rate
                                                          (16)
 H loc  f                  Frsl                                 towards the left of the best efficiency point and
                                                                  these curves closely match in the region from bep
            w(a, cv )d p                                          to intersection point. As the pump flow reduces
Re sl                                                            from bep operating conditions or in other words the
                                                                 flow velocity reduces, hydraulic head losses as well
                                                                  as the additional head losses due to solid particles



                                                                                                                  520 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
             Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 3, Issue 1, January -February 2013, pp.516-522
decreases although the pump fluid flow remains in
the turbulent region (Re ~ 6 x 105 ) with least
friction factor. So, in the region from bep to
intersection point, predicted performance curves
closely match with the experimental curves. It is
indicated in Fig.2 and Fig.3. It is also found that
from intersection point to the end of the curve,
head of the predicted performance curve is higher
than the experimental curve for slurry application.
The predicted heads are 24% and 15% higher than
the experimental heads at the flow rate of 300 m3/
hr. for Cv of 18% and 10% respectively. The
excessive additional head losses due to the
presence of coarse solid particles at high flow
                                                         Fig. 3. Performance Curve (18% solid Conc.)
region may cause this deviation, which could not
be captured accurately in the presented analytical            I: Experimented with clear water
technique.
          A     drooping        (stall)   performance         II: Predicted with clear water
characteristics in both the experimental and the              III: Predicted with seabed sand slurry
predicted performance curves have also been                      (Conc. 10% by volume)
observed at an operating point in the reduced flow            IV :Tested with seabed sand slurry
region. It happens due to steep divergence in blade              (Conc. 10% by volume)
to blade flow passages. Fluid moves against the
positive pressure gradient which thickens the
boundary layer and finally it separates from the
impeller wall surfaces. Eddy formation takes place
in the separated region which causes huge
hydraulic losses and it is further deteriorated due to
presence of solid particles. The pump again tries to
develop higher head to match with the discharge
pressure which further increases hydraulic losses.
As a result, the head developed by the pump again
falls and the pump operation at this flow rate is
unstable.
          These    unsteady         flow   fluctuation
propagates throughout the impeller and diffuser
flow passages and the pump experiences stall.            Fig. 4. Performance Curve (10% solid Conc.)
Pump performance at this low flow region is also         .
found to deteriorate further with the increase of        VIII. Conclusion
solid concentration, i.e., it is more prominent when              Analysis of performance characteristics of
the pump handles slurry of solid concentration by        centrifugal slurry pumps considering the volume
volume 18% than that of 10%. The dotted lines in         fractions of solid particle depending on particle size
Fig. 2 and Fig. 3 show the expected performance          and particle distribution gives improved results
curves at reduced flow rate while the experimental       than considering a mean particle size. The
curves deviate from it.                                  presented method gives reasonably accurate results
                                                         around the best efficiency point. However, further
                                                         research, in-depth study and experimentation is
I: Experimented with clear water                         really needed for performance analysis of
II: Predicted with clear water                           centrifugal slurry pump when it handles highly
III: Predicted with seabed sand slurry                   coarse slurry with varied particle size.
   (Conc. 18% by volume)
                                                         Acknowledgement
IV :Tested with seabed sand slurry                                The work has been conduced in network
     (Conc. 18% by volume)                               project of Capacity Building of Coastal Placer
                                                         Mining led by Council of Scientific & Industrial
                                                         Research, New Delhi, India. Authors are duly
                                                         acknowledged to the Director, CSIR–Central
                                                         Mechanical Engineering Research Institute,
                                                         Durgapur, India for his kind support and permitting
                                                         to publish this paper.



                                                                                               521 | P a g e
Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering
            Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                    Vol. 3, Issue 1, January -February 2013, pp.516-522
Nomenclature                                                          [3]   M.C. Roco, M. Marsh, G.R. Addie, and
a                                    characteristics local acceleration (m/s2) Maffett, , Dredge pump performance
                                                                           J.R.
bep      best efficiency point                                             prediction, J. Pipelines 5(1985) 171-190
b        impeller width (m)                                           [4]   F.J. Wiesner, A review of slip factors for
Cv                    concentration of solids in the slurry by volume incentrifugal impellers, ASME J. Eng. for
                                                                            decimal fraction
Cw                             concentration of solids in the slurry by weight(%) (1967) 558—576
                                                                           Power, 89
c                                               velocity of flow (m/s)[5]   O. Conrad, K. Raif and M.Wessels, The
dp                                              solid particle size (m)    calculation of performance maps for
d50                               particle size, 50% by weight passing through
                                                                           centrifugal compressors with vane-island
                                                        the sieve          diffusers. In Proceedings of the 25th
dhm                                        hydraulic mean diameter (m) ASME Annual International Gas Turbine
D                                               impeller diameter (m)      Conference and the 22nd ASME Annual
Df                                                  diffusion factor       Fluids Engineering Conference on
Fr                                                  Froude number          Performance Prediction of Centrifugal
s                                             clearance gap width (m) Pumps and Compressors, New Orleans,
ρ                                                   specific gravity       Louisiana (1980) 135–147.
v*                                              friction velocity (m/s)
                                                                      [6]  J. P. Johnston and Jr, R. C.Dean, Losses in
c’θ                                       corrected whirl velocity (m/s) vaneless       diffusers     of    centrifugal
w                                               relative velocity (m/s)    compressors             and          pumps.
Wo                                  unhindered particle settling velocity (m/s)
                                                                           Analysis,experiment, and design, Trans.
W(a,Cv) modified particle settling velocity(m/s) at                        ASME, J. Engg Power 88(1966) 49–62
local acceleration (a) and solid concentration(Cv)                    [7]   S. Mizuki, I. Ariga and I. Watanabe,
z        no of vanes                                                       Prediction of jet and wake flow within
g        gravitational acceleration(m/s2)                                  centrifugal impeller channel,             In
u        impeller peripheral speed (m/s)                                   Proceedings of the 25th ASME Annual
hinc     incidence head losses (m)                                         International Gas Turbine Conference
hmix     mixing head losses (m)                                            and the 22nd ASME Annual Fluids
hbl                                           blade loading losses (m) Engineering Conference on Performance
hf                                             frictional head loss (m)    Prediction of Centrifugal Pumps and
L                                 blade mean streamline meridional length (m)
                                                                           Compressors,           New         Orleans,
kinc     incidence loss coefficient                                        Louisiana(1980) 105–116.
kimp                                          impeller flow coefficient
                                                                      [8]   M. R. Galvas, Analytical correlation of
Ns                                            pump specific speed (SI) centrifugal compressor design geometry
∆pcl                                      clearance pressure loss (N/m2) for maximum efficiency with specific
Q                                               pump flow rate (m3/s)      speed, NASA Technical Note T.N.-
Q                                                   flow rate (m3/s)       D6729(1972)
r        impeller radius (m)                                          [9]   D.S. Musgrave.,         The prediction of
Re                                                 Reynolds number         design and off design efficiency for
β        blade angle                                                       centrifugal compressor impellers,         In
λ                                                 friction coefficient     Proceedings of the 25th ASME Annual
εwake                                    width of wake (dimension less) International Gas Turbine Conference
ν                                            kinematic viscosity (m2/s) and the 22nd ASME Annual Fluids
Subscripts                                                                 Engineering Conference on Performance
1        impeller inlet          f        fluid, fine slurry               Prediction of Centrifugal Pumps and
2        impeller outlet          s        slip, solid                     Compressors, New Orleans, Louisiana
Ө                                sl       slurry       tangential          (1980) 185–189.
cl                               sf       secondary flowclearance     [10] R. H. Augier, Mean Streamline
                                                                           aerodynamic performance analysis of
References                                                                 centrifugal compressors, Trans ASME,88
   [1]    A., Sellgren, Performance of Centrifugal                         (1966) 49 – 62.
         Pumps When Pumping Ores and Industrial                       [11] D.G. Thomas, Transport properties of
         Minerals, Proc. Hydro transports-6,                               suspensions: VIII. A note on the viscosity
         Paper G1, BHRA Fluid Engineering                                  of Newtonian suspensions of uniform
         (1979) 291-304.                                                   spherical particles. J. Colloid Science, 20,
   [2]   V. K. Gahlot, V. Seshadri, and R.C.                               267-277 (1965).
         Malhotra,       Effect of Density, Size,                     [12] B. K Gandhi, S.N Singh, and V. Seshadri,
         Distribution and Concentration of Solid on                        Improvement in the prediction of
         the Characteristics of Centrifugal Pumps,                         performance of centrifugal slurry pumps
         Trans. ASME, J. of Fluid Engg., Vol 114                           handling slurries, Proc. Instn. Mech.
         (1992) 386-389.                                                   Engrs Vol 214, part-A (2000) 473 -486



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Cb31516522

  • 1. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 The Characteristics of a Vertical Submersible Slurry Pump in Transporting Dredged Slurry Prasanta Kumar Sen*, Lal Gopal Das** & Biswajit Halder*** * (PPE, CSIR-Central Mechanical Engineering Research Institute, Durgapur-713209, India) ** (PPE, CSIR-Central Mechanical Engineering Research Institute, Durgapur-713209, India) *** (ME, National Institute of Technology, Durgapur-713209, India) ABSTRACT The performance of vertical centrifugal of the centrifugal slurry pump depends on particle slurry pump is quite different from clear water size, size distribution, shape, solid concentration, pump due to presence of solid particles in water. solid specific gravity, pump speed and certainly on An approach to derive the performance the pump geometry. The presence of solid particles, behaviour of a vertical centrifugal pump used for specifically coarse particles, in the fluid always transporting dredged slurry based on detail breaks fluid continuum. The bigger the particle size hydraulic loss analysis has been presented in this worse is the effect. In most of the slurry pumping paper. The derived analytical data has been system, particle size distribution is uneven, i.e., it is compared with experimental results. mixed with fine, medium and coarse particles and it Performance analysis of a vertical submersible is called heterogeneous slurry. centrifugal slurry pump has been accomplished Previous researchers like Sellgren [1], in two stages. At first, performance Gahlot, et al. [2] and many other eminent characteristics of the centrifugal pump with clear researchers developed empirical formulae water have been investigated considering an in- correlating head reduction ratio (RH) with solid depth hydraulic loss analysis. Depending on the concentration by weight, solid specific gravity and particle size distribution, the effect of solid particle size. Performance prediction utilizing particles on the performance characteristics of empirical correlation carried out by them with the centrifugal slurry pump has been investigated error band of ±12% to ±20 % for the test slurry. considering volume fraction of particle size. The homogenous slurry with fine particles has been Pump head with slurry, H s treated as Newtonian fluid with slurry viscosity RH  1  (1) and specific gravity. Additional hydraulic losses Pump head with wate r, H w due to coarse solid particle have been considered for coarse slurry fraction. The performance of The present work has been conducted with the vertical centrifugal slurry pump has been the objective of detail analysis of several hydraulic predicted with the accuracies of about 87% and losses occurring in the pump. The fine slurry has 90 % for respective solid concentration of 18% been considered as Newtonian fluid. The same and 10% by volume near the maximum efficiency hydraulic analysis method has been adopted for the point. The drooping performance characteristics fine slurry with the slurry viscosity and specific at low flow operation have been found gravity as presented for the centrifugal pump deteriorating further with the increase of solid handling clear water. Additional hydraulic head concentration. losses due to the presence of coarse solid particles have been deducted from the fine Newtonian slurry Keywords – Centrifugal, Diffuser, Impeller, Slurry head by applying the approach as postulated by Roco, et al. [3]. The prediction of the performance I. INTRODUCTION characteristics of the centrifugal slurry pump has Centrifugal slurry pumps are mostly found been improved by considering the volume fraction in transporting solid grains with carrier fluid through of the solid particles. the pipe lines to the destined point in the process industries like cement plant, petrochemical plants II. Test Rig & Experimentation and fertilizer plants, etc. Performance characteristics The pilot seabed mining was carried out of any centrifugal pump significantly differ in the from an anchor barge near the Kalvadevi bay of presence of solid particles in the fluid from clear Ratnagiri, Maharashtra, India. The seabed mining fluid characteristics. The slurry of uniform particle was carried out by a dredge head with water jets. size is hardly found in industries, rather in most of The dredge head as shown in “Fig. 1” contains a the application particle size varies from few microns water distributor (1) which provides pressurized to the order of mm. The performance characteristics water to a series of nozzles (2) housed in an agitating 516 | P a g e
  • 2. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 chamber (3). The pressurized water is supplied through feed line (4) and distributed to the nozzles. Table -1 Water jets from the nozzles cut the seabed Pump Details resulting formation of slurry in the dredge head. The Rated Capacity 240 m3/hr solid concentration in the dredge head is varied by Head 25 m controlling the nozzle jet velocity. Capacity Range 75 – 400 m3/hr The test rig of the seabed dredging system Motor Power 35 HP is as shown in “Fig.-2” .The dredge head (1) is Speed 2,900 rpm suspended from a crane (2) and placed on seabed. No. of stage single The horizontal centrifugal pump (3) mounted on the equipment barge (4) sucks sea water through flexible No of vanes in impeller 4 hose (5) and discharges high pressure water through Impeller blade inlet angle 18o delivery pipe (6) to the dredge head(1). Impeller blade outlet angle 22.5o The pressurized water released from a set Impeller diameter 198 mm of nozzle cuts seabed resulting formation of solid- No. of vane in diffuser 8 water slurry in the agitation chamber of the dredge Water Properties head (1).The vertical submersible slurry pump (7) Pumping water Sea water mounted on the dredge head (1) sucks slurry from Temperature 0 – 20 oC the dredge head and delivers through discharge Specific gravity of clear sea 1.028 – 1.034 flexible hose (9) and slurry pipe to the hopper barge water (8). A by pass line (10) with flow control valve (11) Kinematic viscosity (m2/s) 1.83x10-6 to 1.05x10-6 regulates the pressurised water supply to the dredge Solid Properties head without disturbing the performance characteristics of the water supply pump(3). Power to the equipment is supplied by 320 kVA Diesel Type Seabed sand Generator Set mounted on the equipment barge. Data Acquisition System for recording online data in computer has been installed. Magnetic Specific gravity 2.7 to 3.5 flow meter (14), pressure transmitter (15), and Particle size (mm) 0.035 to 0.350 ultrasonic solid concentration meter (16) mounted on slurry pipe line. Pressure transmitter (17) & magnetic flow meter (18) are installed on the clear water pipe line (6). Signal conditioner circuitry converts signal sensed by the respective transducer in to electrical signal which is transferred to a master controller via RS 485 communication port. Master controllers transmit Data to a personal computer via RS 232 –C port for on line display and recording in the hard disk. The investigated pump is single stage centrifugal impeller and diffuser type casing. The details of the pump and characteristics of sea water and sea bed sand are listed in Table- 1 III. Performance Characteristics with Clear Water III.1 Eulers Head The energy imparted to the pumping fluid per unit weight of the fluid with infinite number of blades is popularly known as Euler’s pump head. u 2 c 2 - u 1c 1 H th  (2) g Considering zero inlet pre-rotation of fluid in the design. u 2 c 2 H th  (3) g 517 | P a g e
  • 3. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 Fig 1 Dredge Head Fig 2 Test Rig 518 | P a g e
  • 4. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 III.2 Slip Table. 2 Hydraulic losses Fluid rotates in the reverse direction of Local Hydraulic Losses impeller rotation at the impeller speed after Shock 2 entering into the rotating impeller from stationery Losses, w θi h inc  k inc , condition. Thus, a reverse circulation is set-up in Conrad et 2g blade to blade flow passages. These relative eddies al. [5] kinc = 0.5 to 0.7 at the outer edge of the impeller will have (6) circumferential velocity (cөs) in the opposite Mixing hmix 1  1   wake   B   1  1   wake   Losses, Johnston et ci 1 i  direction of the outlet whirl velocity (c Ө2) and is 2  known as slip velocity (cөs) al. [6], 2g Mizuki et (7) c al. [7]  i  2 cm 2 1 w2  wake  1  0.45 wm ax Secondary Hydraulic Losses Blade 2 2 u2 Loading hbl  0.05D f (8) Losses, 2g Galvas [8] 0.75H th1 D f  0.3  w1 z  D  D 1  1   2 1  D  Fig. 3. Outlet effective velocity triangle with slip u2   2  D2 velocity It is depicted in “Fig. 3”. It has been studied by many researchers that Weisner’s[4] slip u 2 c 2 model gives realistic slip factor and same has been H th1  2 u2 considered for the present work. Friction c  f  1  s Skin 1 2 L u2 Friction, hf  wm  (10) Musgrave 2 dh sin  2 (4)  f 1 [9] 1 w d  z 0 .7  2 log 10  m hm    0.8 u c - c  (5)     H th  2  2 s Clearance Flow g Clearance q  zsLu cl cl losses, (1 Augier Pcl III.3 Hydraulic losses in the impeller u cl  0.816 1) The fluid while passing through the [10]  impeller or diffuser flow passages encounters Qr2 c 2  r1c1  several hydraulic losses which reduces the effective Pcl  head developed by the pump. Roco et al [6] zrb classified the hydraulic losses as local hydraulic r  r  r 1 2 b b1  b2  losses, secondary hydraulic losses and frictional 2 2 losses. The optimum hydraulic loss model has been considered in the present study which is shown in Table-2. IV. Property of Homogeneous Solid Liquid Mixture: III.4 Diffuser Losses It has been experimented that particles of Hydraulic losses in the diffuser are size below 70 µm remains suspended calculated in the similar manner as impeller but a homogenously in water. Viscosity of such fine stationary frame of reference is considered. solid liquid homogeneous mixture has been calculated using Thoma’s [11] correlation and mixture specific gravity as listed below. 519 | P a g e
  • 5. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 2   v* 1 m  w 1  2.5Cv  10.5Cv 2 2 (12) Frsl  ad p ( s  1)  s l 2 100 c m  (13) Where, a  2 , C w (100  Cw ) r2  s w c' v*   b  V. Effects Of Solids on Pump Performance 5.98  5.75 log10  2  The centrifugal pump behaves in a quite  2kimp    different manner in presence of solid particles in 0.5 the pumping fluid. Solid particles can slip from the a carrier fluid, i.e., the particles move at a slower or a W (a, C v )  Wo   (1  C v ) E g faster velocity than the carrier fluid or it can move   with same velocity as carrier fluid depending on The value of E is taken from E vs. Particle the particle size, particle specific gravity and solid Reynolds Numbers curve as given by Gandhi, et al. concentration. [12] Roco, et al. [6] considered the additional head losses due to presence of solid particles in the H  f  1100Cw(s  1) gd p Wo (17) H  sl fluid. They classified the hydraulic losses in three classes, viz., local losses, secondary losses and f f c2 c frictional losses. The additional hydraulic losses due to the presence of solid particles have been VI. Experimental Uncertainty. estimated by correlation with three non- Table. 2 Uncertainty of the instrument dimensional numbers namely, particle Reynolds Instruments Make % of number, Froude number and pump specific speed. Error It has been observed that the solid particle sizes Magnetic Flow Manas 0.75% below 70 µm remain homogenously suspended in Meter Microsystems Pvt the fluid and such particles are treated as fine Ltd, India particles. Homogenous slurry of fine particles in Pressure WIKA 0.50% which particles are evenly distributed behaves like Transmitter Instruments India a clear continuum liquid and it can well be treated Pvt. Ltd as Newtonian fluid with its specific gravity and Ultrasonic Solid Rhosonics 0.10% viscosity. Coarse particles (70 to 350 µm) are Concentration Analytical BV, unevenly distributed in the fine homogeneous meter Netherland slurry. The analysis has been done considering coarse particle mean size, d50 = 250 µm and that of the fine particles are of 50 µm. The hydraulic VII Results and Discussion The performance test of a vertical losses have been estimated considering two volume submersible slurry pump has been accomplished fraction of particles as described above. In brief, hydraulic losses occurred in the pump flow passage with 18 % and 10 % solid concentration by volume are caused by fine homogenous slurry fraction and and same has been done analytically. It has been the additional losses by the coarse slurry fraction. observed that analytical performance curve Hydraulic losses (HL) for centrifugal slurry pump matches very closely to experimental curve at the best efficiency point (bep) ( 254 m3/ hr.) with the are analysed as below. accuracy of about 87% and 90% for solid concentration by volume (C v) of 18% and 10%  HL total   HL f   HLsl (14) respectively. The present experimentation has been H  Re sl conducted from minimum to maximum flow rate  297C v ( s  1) sf sl with clear water as well as with slurry by opening H sf f Ns (15) the discharge valve gradually. It has been observed that the predicted and the experimental H loc sl 10.8Cv  s  1 performance curve intersect at some flow rate  (16) H loc  f Frsl towards the left of the best efficiency point and these curves closely match in the region from bep w(a, cv )d p to intersection point. As the pump flow reduces Re sl  from bep operating conditions or in other words the  flow velocity reduces, hydraulic head losses as well as the additional head losses due to solid particles 520 | P a g e
  • 6. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 decreases although the pump fluid flow remains in the turbulent region (Re ~ 6 x 105 ) with least friction factor. So, in the region from bep to intersection point, predicted performance curves closely match with the experimental curves. It is indicated in Fig.2 and Fig.3. It is also found that from intersection point to the end of the curve, head of the predicted performance curve is higher than the experimental curve for slurry application. The predicted heads are 24% and 15% higher than the experimental heads at the flow rate of 300 m3/ hr. for Cv of 18% and 10% respectively. The excessive additional head losses due to the presence of coarse solid particles at high flow Fig. 3. Performance Curve (18% solid Conc.) region may cause this deviation, which could not be captured accurately in the presented analytical I: Experimented with clear water technique. A drooping (stall) performance II: Predicted with clear water characteristics in both the experimental and the III: Predicted with seabed sand slurry predicted performance curves have also been (Conc. 10% by volume) observed at an operating point in the reduced flow IV :Tested with seabed sand slurry region. It happens due to steep divergence in blade (Conc. 10% by volume) to blade flow passages. Fluid moves against the positive pressure gradient which thickens the boundary layer and finally it separates from the impeller wall surfaces. Eddy formation takes place in the separated region which causes huge hydraulic losses and it is further deteriorated due to presence of solid particles. The pump again tries to develop higher head to match with the discharge pressure which further increases hydraulic losses. As a result, the head developed by the pump again falls and the pump operation at this flow rate is unstable. These unsteady flow fluctuation propagates throughout the impeller and diffuser flow passages and the pump experiences stall. Fig. 4. Performance Curve (10% solid Conc.) Pump performance at this low flow region is also . found to deteriorate further with the increase of VIII. Conclusion solid concentration, i.e., it is more prominent when Analysis of performance characteristics of the pump handles slurry of solid concentration by centrifugal slurry pumps considering the volume volume 18% than that of 10%. The dotted lines in fractions of solid particle depending on particle size Fig. 2 and Fig. 3 show the expected performance and particle distribution gives improved results curves at reduced flow rate while the experimental than considering a mean particle size. The curves deviate from it. presented method gives reasonably accurate results around the best efficiency point. However, further research, in-depth study and experimentation is I: Experimented with clear water really needed for performance analysis of II: Predicted with clear water centrifugal slurry pump when it handles highly III: Predicted with seabed sand slurry coarse slurry with varied particle size. (Conc. 18% by volume) Acknowledgement IV :Tested with seabed sand slurry The work has been conduced in network (Conc. 18% by volume) project of Capacity Building of Coastal Placer Mining led by Council of Scientific & Industrial Research, New Delhi, India. Authors are duly acknowledged to the Director, CSIR–Central Mechanical Engineering Research Institute, Durgapur, India for his kind support and permitting to publish this paper. 521 | P a g e
  • 7. Prasanta Kumar Sen, Lal Gopal Das, Biswajit Halder / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 1, January -February 2013, pp.516-522 Nomenclature [3] M.C. Roco, M. Marsh, G.R. Addie, and a characteristics local acceleration (m/s2) Maffett, , Dredge pump performance J.R. bep best efficiency point prediction, J. Pipelines 5(1985) 171-190 b impeller width (m) [4] F.J. Wiesner, A review of slip factors for Cv concentration of solids in the slurry by volume incentrifugal impellers, ASME J. Eng. for decimal fraction Cw concentration of solids in the slurry by weight(%) (1967) 558—576 Power, 89 c velocity of flow (m/s)[5] O. Conrad, K. Raif and M.Wessels, The dp solid particle size (m) calculation of performance maps for d50 particle size, 50% by weight passing through centrifugal compressors with vane-island the sieve diffusers. In Proceedings of the 25th dhm hydraulic mean diameter (m) ASME Annual International Gas Turbine D impeller diameter (m) Conference and the 22nd ASME Annual Df diffusion factor Fluids Engineering Conference on Fr Froude number Performance Prediction of Centrifugal s clearance gap width (m) Pumps and Compressors, New Orleans, ρ specific gravity Louisiana (1980) 135–147. v* friction velocity (m/s) [6] J. P. Johnston and Jr, R. C.Dean, Losses in c’θ corrected whirl velocity (m/s) vaneless diffusers of centrifugal w relative velocity (m/s) compressors and pumps. Wo unhindered particle settling velocity (m/s) Analysis,experiment, and design, Trans. W(a,Cv) modified particle settling velocity(m/s) at ASME, J. Engg Power 88(1966) 49–62 local acceleration (a) and solid concentration(Cv) [7] S. Mizuki, I. Ariga and I. Watanabe, z no of vanes Prediction of jet and wake flow within g gravitational acceleration(m/s2) centrifugal impeller channel, In u impeller peripheral speed (m/s) Proceedings of the 25th ASME Annual hinc incidence head losses (m) International Gas Turbine Conference hmix mixing head losses (m) and the 22nd ASME Annual Fluids hbl blade loading losses (m) Engineering Conference on Performance hf frictional head loss (m) Prediction of Centrifugal Pumps and L blade mean streamline meridional length (m) Compressors, New Orleans, kinc incidence loss coefficient Louisiana(1980) 105–116. kimp impeller flow coefficient [8] M. R. Galvas, Analytical correlation of Ns pump specific speed (SI) centrifugal compressor design geometry ∆pcl clearance pressure loss (N/m2) for maximum efficiency with specific Q pump flow rate (m3/s) speed, NASA Technical Note T.N.- Q flow rate (m3/s) D6729(1972) r impeller radius (m) [9] D.S. Musgrave., The prediction of Re Reynolds number design and off design efficiency for β blade angle centrifugal compressor impellers, In λ friction coefficient Proceedings of the 25th ASME Annual εwake width of wake (dimension less) International Gas Turbine Conference ν kinematic viscosity (m2/s) and the 22nd ASME Annual Fluids Subscripts Engineering Conference on Performance 1 impeller inlet f fluid, fine slurry Prediction of Centrifugal Pumps and 2 impeller outlet s slip, solid Compressors, New Orleans, Louisiana Ө sl slurry tangential (1980) 185–189. cl sf secondary flowclearance [10] R. H. Augier, Mean Streamline aerodynamic performance analysis of References centrifugal compressors, Trans ASME,88 [1] A., Sellgren, Performance of Centrifugal (1966) 49 – 62. Pumps When Pumping Ores and Industrial [11] D.G. Thomas, Transport properties of Minerals, Proc. Hydro transports-6, suspensions: VIII. A note on the viscosity Paper G1, BHRA Fluid Engineering of Newtonian suspensions of uniform (1979) 291-304. spherical particles. J. Colloid Science, 20, [2] V. K. Gahlot, V. Seshadri, and R.C. 267-277 (1965). Malhotra, Effect of Density, Size, [12] B. K Gandhi, S.N Singh, and V. Seshadri, Distribution and Concentration of Solid on Improvement in the prediction of the Characteristics of Centrifugal Pumps, performance of centrifugal slurry pumps Trans. ASME, J. of Fluid Engg., Vol 114 handling slurries, Proc. Instn. Mech. (1992) 386-389. Engrs Vol 214, part-A (2000) 473 -486 522 | P a g e