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STUDY OF FLOW FIELD CHARACTERISTICS OF SLURRY IMPELLERS BY USING COMPUTATIONAL FLUID DYNAMICS

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STUDY OF FLOW FIELD CHARACTERISTICS OF SLURRY

IMPELLERS BY USING COMPUTATIONAL FLUID DYNAMICS

1

*S.Senthilkumar, 2Dr.Ankur Awashthi

1*Research Scholar,Department of Mechanical Engineering, Maharishi University of Information Technology, Lucknow. 2Associate Professor, Department of Mechanical Engineering, Maharishi University of Information Technology, Lucknow.

1*

[email protected],[email protected] ABSTRACT

A modern trendin Flowanalysis inslurry impellerhas long been an concentrated subject of research. The Computational Fluid Dynamics(CFD)is the present day state-of-art technique for fluid flow analysis. It wasfound that Unsteady as follows a re created in different part with modern design conditions which result in the decreasing efficiency different radial gaps. The operating characteristic curve by the numerical simulation with Static pressurewasc o m p a r e d w i t h t h e results o f model testing and isfound in good agreement. The test case consists of an enshrouded centrifugal impeller with seven blades. A large number of measurements are available in the radial gap between the impeller and the diffuse, making this case ideal for validating numerical methods. Results of steady and unsteady calculations of the flow in the slurry impeller are compared with the CFD experimental ones;three different turbulent models are analyzed. The steady K-Ɛ and RNG with standardized is wall functions defined equation function simulation uses the frozen rotor concept, while the unsteady simulation uses a fully resolved sliding grid approach.

Key words:Slurry impeller, K-epsilon model, RNG with standardized model, CFD.

I. INTRODUCTION

Slurry impellers are a sub-class of dynamic

axisymmetric work-absorbing turbo

machinery. Slurry impellers are used to transport

liquids/fluids by the conversion of the rotational

kinetic energy to the hydro dynamics energy of the

liquid flow. The rotational energy typically comes

from an engine or electric motor or turbine. In the

typical simple case, the fluid enters the pump

impeller along or near to the rotating axis and is

accelerated by the impeller, flowing radially

outward into a diffuser or volute chamber (casing),

from where it exits. Common uses include water,

sewage, petroleum and petrochemical pumping. The

reverse function of the Slurry impellersis a water

turbine converting potential energy of water

pressure into mechanical rotational energy.

II.TEST FACILITIES AND INSTRUMENTATIONS

The original Slurry impeller case was presented

by a turbo machinery flow prediction Slurry

Workshop. It is a simplified model of a centri fugal

turbo machine which consists of a rotor with an

outlet diameter of 420 mm and 7 backward impeller

blades, and arota table vane diff user with 12 vanes

and a 6% vane less radial gap.

ThegeometryillustratedinFig.1isgiveninUbaldietal.

The measuring techniques used were a

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single sensor probes and fast response pressure

transducers. The viscousandpotential

floweffectsinthe smallradial gapbetween rotor and

vaned diffusersinthe SlurryCentrifugal Pump

havebeen investigated. AlsoLDVmeasurements

wereperformedbyUbaldietal.

The impeller and in the diff user of the Slurry

impeller by means of a four-beam two-color laser

Doppler veloci meter. Recently, two-component

LDV measurements of the unsteady boundary layer

of the vane were published by Canepa, Cattanei,

Ubaldi and Zunino.

Figure1 Slurry impeller vane dimensions

Table2: Operating conditions

Operatingconditions

rotationalspeed n=2000 rpm

flowrate coefficient ϕ=0.048

total pressurerisecoefficient ψ=0.65

Reynoldsnumber Re=6.5∗105

temperature T=298K

airdensity ρ=1.2 kg/m3

Table1:Geometric data

III. GRIDGENERATION

The grid for the three dimensional model was

created in ICEM CFD. Due to the size and

complexity of the pump care was taken while

distribution of grid elements in the model.

Considering the complexity of geometry,

unstructured grid consists of triangular and

tetrahedral element with I C E M C F D s c h e m e

w a s u s e d . In order to capture the velocity and

pressure gradients near wall a very fine structured

mesh was generated using the size function

option available in ICEMCFD. Between interacting

components the non- conformal mesh with grid

interface was created. In order to check the influence

of the grids on the results, meshes with different

sizes were generated. The final mesh of casing with

number of elements 376537 and for i m p e l l e r

with number of elements 1469037was generated.

Accordingly the total numbers of mesh elements

were more than 1.8 million fortheentire

assemblyasshowninFig.2

Figure 2Gridfor3-Dcomputational model of slurry impeller

IV. BOUNDARYCONDITIONSAND TURBULENCEMODELS

Thesimulationswerecarriedoutover asixdifferent

Impeller Diffuser

inletbladedi ameter

D1=24 0mm

inletvanedia meter

D3=44 4 mm outlet

diameter 0mm D2=42

outlet

vanediameter 4 mm D4=66

bladespan b=40.4

mm

vanespan b=40.4

mm number

ofblades zi=7

number

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operating points with two different turbulence

models namely re normalization group(RNG)

k-model and shear stress transport (SST)k-k-model.

Mass flow rate correspond to different operating

points was specified at the suction of impeller while

total pressure was define dat the casing outlet. The

flow in the impeller was computed in the moving

reference frame, while the flow in the casing was

calculated in the stationary reference frame.

Between impeller and casing grid inter face was

used. Different boundaryconditionfor the

computationaldomainis shownin Fig.3

Figure 3 Boundaryconditionsforthe computationaldomain

V. NUMERICAL RESULTS AND

DISCUSSION FOR STATIC PRESSURE

1.K-EPSILON REALIZABLE MODEL:

In this functions of the s t a t i c pressure variation

is uniform a trated discharge 1035rpm and 1150rpm

,1265 rpm are compared in K-epsilon equation to

apply equation form analysis based analyzed model

butcomparatively non-uniformat otheroperating

conditions. Single Plane and single radial gap are

attached of casingfordifferentoperating conditions.

Figure 4K-Epsilon Realizable Model - 1035

rpm

Shows the velocity variation in the central

pressure acting in the different

parts.Fig.4.energy and dynamic

Studyofthevelocitycontours gives.Above Figure

4.Thisfunctionally flow equation in K-Epsilon

turbulence model analyzed in rotational wall

functions based to take a result to be done in static

pressure - initialization operating conditions are

1035rpm .maximum values accrue 1.18E4 pa.

Figure 5 K-Epsilon Realizable Model - 1150

rpm

Above Figure 5. this functionally flow equation

in K-Epsilon turbulence model analyzed in

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done in static pressure - initialization operating

conditions are 1150rpm .Results achieved in

maximum values accrue 1.18e+4 pa.

Below Figure6.Thisfunctionally flow equation in

K-Epsilon turbulence model analyzed in rotational

wall functions based to take a result to be done in

static pressure - initialization operating conditions

are1065rpm. Results achieved in maximum values

accrue7.00e+06 Pa.

Figure 6 K-Epsilon Realizable Model - 1265 rpm

2. K-EPSILON RNG MODEL

In this functions of the s t a t i c

pressurevariationisuniform atrated discharge

1035rpm and 1150rpm ,1265 rpm are compared in

K-epsilon -RNG functional equation to apply

equation form analysis based analyzed model

butcomparatively non-uniformat otheroperating

conditions. Single Plane and single radial gap are

attached of casing for different operating

conditions. Shows the velocity variation in the

central pressure acting in the different parts. Fig

7.Ideaaboutthekineticenergy and dynamic

Studyofthevelocitycontours gives.

Figure 7 K-Epsilon RNG Model 1035 rpm

Above Figure7.This functionally flow equation in K-Epsilon turbulence model analyzed in rotational wall functions based to take a result to be done in static pressure - initialization operating

conditions are 1035rpm. Results achievedin

maximum values accrue 9.50e+04 Pa.

Figure 8 K-Epsilon RNG Model 1150 rpm

Above Figure8.Thisfunctionally flow equation

in K-Epsilon turbulence model analyzed in

rotational wall functions based to take a result to be

done in static pressure - initialization operating

conditions are1150rpm. Results achieved in

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24

Figure 9K-Epsilon RNG Model1265 rpm

Above Figure 9. Thisfunctionally flow equation

in K-Epsilon turbulence model analyzed in

rotational wall functions based to take a result to be

done in static pressure - initialization operating

conditions are 1265 rpm. Results achievedin

maximum values accrue 7.23e+04 Pa.

3. K-EPSILON STANDARD MODEL

RESULTS

In this functions of the s t a t i c pressure variation

is uniform a trated discharge 1035rpm and 1150rpm

,1265 rpm are compared in K-epsilon -STD

functional equation to apply equation form analysis

based analyzed model but comparatively non-uni

format other operating conditions. Single Plane and

single radial gap are attached of casing for different

operating conditions. Shows the velocity variation

in the central pressure acting in

thedifferentparts.Fig.10 idea about the kinetic

energy and dynamic Study of the velocity contours

gives

Figure 10 K-Epsilon Std Model1035 RPM

Above Figure10.This functionally flow equation in K-Epsilon turbulence model analyzed in rotational wall functions based to take a result to be done in static pressure - initialization operating conditions are 1035rpm. Results achieved in maximum values accrue 8.00e+05 Pa

Figure 11 K-Epsilon Std Model1150 rpm

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25

Figure 12 K-Epsilon Std Model1265 rpm

Above Figure12.This functionally flow equation in K-Epsilon turbulence model analyzed in rotational wall functions based to take a result to be done in static pressure - initialization operating conditions are 1265 rpm. Results achievedin maximum values accrue 7.50e+04 Pa.

VI.CONCLUSION

The followingconclusionswere drawn

fromtheanalysis:

 It was found that K-ε SST model provides

better result compared to other two models in the

rpm of 1035 and 1150.

 Similarly in 1265 rpm K-εRealizable model

provides better result compared to other two

models.

 The given operating conditions, slurry

impeller which executes the maximum static

pressure at K-ε Realizable model comparatively

K-ε RNG model and K-ε SST model.

REFERENCES

1. Bacharoudis E.C., Filios A.E.,

MentzosM.D.,MargarisD.P.,2008. Parametric study

of a centrifugal pump impeller by varying the

outlet blade a n g l e , The Open Mechanical

EngineeringJournal275-83.

2. HamkinsC.P. and BrossS., 2002. Use of

surface flow visualization methods in centrifugal

pump design, Journal

o f F l u i d s E n g i n e e r i n g 124314-318.

3. MedvitzR.B., Kunz R.F., BogerD.A.,

AdamJ.W., YocumA.M., Pauley,L.L.,

2002.Performance analysis of cavitating flow in

centrifugal pump susing multiphase CFD. Journal

o f F l u i d E n g i n e e r i n g 124377-383.

4. MuggliF.A.,EiseleK., Casey M.V., GulichJ.,

SchachenmannA., 1997. Flow analysis in a pump

diffuser-part 2:validation and limitations of cfd for

diff user flows, Journal of Fluids

Engineering119978-984.

5. PatelK. And RamakrishnanN., CFD analysis

of mixed flow pump. Spence R., Teixeira J.A.,

2009. A CFDparametricstudy of geometrical

variations onthepressure pulsationsand performance

characteristicsofa centrifugal p u m p . Computers

& Fluids381243–1257.

6. ZhouW.,ZhaoZ.,LeeT. S.,WinotoS.H.,2003.

Investigation of flow through centri fugal pump

impellers using computational fluid dynamics,

International Journal of Rotating Machinery9(1)49–

61.

7. Combès, J.F., "TestCaseU3:CentrifugalPump

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Workshop on Turbo machinery Flow Prediction VII,

Aussois, jan4-7 , 1999.

8. ArularasanR. And Velraj R. 'CFD analysis in

a heat sink for cooling of electronic devices',

International Journal of The Computer, the Internet

and Management Vol. 16.No.3

(September-December, 2008) pp 1-11.

9. Mukesh Didwania, Gopal Krishan, Ravi

kant, 'Study and Analysis of Heat Transfer through

Two Different Shape Fins using CFD Tool',

International Journal of IT, Engineering and Applied

Sciences Research (IJIEASR) ISSN: 2319-4413

Volume 2, No. 4, April 2013.

10. PulkitAgarwal, MayurShrikhande and P.

Srinivasan,'Heat Transfer Simulation by CFD from

Fins of an Air Cooled Motorcycle Engine under

Varying Climatic Conditions', Proceedings of the

World Congress on Engineering 2011 Vol III WCE

2011, July 6 - 8, 2011, London, U.K.

11. J. John RozarioJegaraj, N. Ramesh Babu, A

strategy for efficient and quality cutting of material

with abrasive water jets considering the variation in

orifice and focusing nozzle diameter, Int. J. Mach.

Tools Manuf. 45(12-13) (2005) 1443-1450.

12. H. Liu, J. Wang, N. Kelson, R. Brown, A

study of abrasive water jet characteristics by CFD

simulation, Journal of Materials Processing

Technology 153-154(2004) 488-493.

13. M.G. Mostofa, K. Yong Kil, A. J. Hwan,

computational fluid analysis of abrasive water jet

cutting head, Journal of Mechanical Science and

Technology 24 (2010) 249-252.

14. Fluent User’s Guide, vol. 3, Fluent

Incorporated Publishers, Lebanon, 1998.

15. N. C. Markatos, “Modeling of two-phase

transient flow and combustion of granular

propellants.”International Journal of Multiphase

Figure

Figure 2Gridfor3-Dcomputational model of  slurry impeller   IV. BOUNDARYCONDITIONSAND  TURBULENCEMODELS  Thesimulationswerecarriedoutover  asixdifferent Impeller Diffuser inletbladediameter D1=240mm inletvanediameter D3=444 mm outlet diameter 0mm D2=42outl
Figure 6 K-Epsilon Realizable Model - 1265  rpm
Figure 11 K-Epsilon Std Model1150 rpm  Above Figure11.This functionally flow equation  in  K-Epsilon  turbulence  model  analyzed  in  rotational wall functions based to take a result to be  done  in  static  pressure  -  initialization  operating  conditi

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