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Applied Scientific Research

, Volume 46, Issue 2, pp 105–126 | Cite as

Analysis of flow through centrifugal pump impellers by finite element method

  • B. Maiti
  • V. Seshadri
  • R. C. Malhotra
Article

Abstract

A finite element approach for three-dimensional analysis of potential flow through centrifugal pump impellers is presented. Laplace equation is solved with proper boundary conditions. A technique to satisfy Kutta condition at the blade trailing edge is also described. The method is applied to a centrifugal pump impeller whose geometrical dimensions are available in the literature. For another impeller of centrifugal pump, static pressure distribution over the blades and within blade passage is measured experimentally at different pump speeds and flow rates. The results from FEM analysis and experimental data are compared to gain an insight into the effect of various idealisations made in the analysis. The comparison shows a good agreement over the range of flow rates and pump speeds investigated.

Keywords

Boundary Condition Experimental Data Finite Element Method Pressure Distribution Static Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Nomenclature

A

Integration over area

b

Blade width

Cp

Coefficient of pressure

F

Load matrix

H

Head developed by pump

I(φ)

Functional used in FEM formulation

K

Stiffness matrix

l

Arc length between two successive blades

Ni

Shape function

\(\hat n\)

Outward unit normal vector

Q

Flow rate

r

Radius vector

S

Any surface

U

Peripheral velocity

Vx, Vy, Vz

Component of absolute velocity in x, y, z directions

Vu

Swirl component of absolute velocity

Vr

Radial velocity

W

Relative velocity

Z

Number of blades

γ

Potential jump in FEM formulation

ω

Rotational speed

Ω

Integration over volume

ϱ

Density of fluid

φ

Velocity potential

Φ

Flow coefficient

ψ

Head coefficient

Subscript

i

Conditions at the inlet to the flow domain

o

Conditions at the outlet to the flow domain

1

Conditions at the impeller inlet

2

Conditions at the impeller outlet

Superscript

e

Represents any element

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References

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • B. Maiti
    • 1
  • V. Seshadri
    • 2
  • R. C. Malhotra
    • 2
  1. 1.Department of Mechanical EngineeringIndian Institute of TechnologyKharagpurIndia
  2. 2.Department of Applied MechanicsIndian Institute of TechnologyNew DelhiIndia

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