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Multi-parameter optimization design, numerical simulation and performance test of mixed-flow pump impeller

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Abstract

On the basis of the three-dimensional design platform of the mixed-flow pump impellers, an optimization design system was developed in this paper by improving the genetic algorithm with application of both strategies of keeping the optimal individual and employing the niche. This system took the highest efficiency of the impeller as the optimization objective and employed P, a 0, Δθ h and Δθ t, which could directly affect the shape and the position of the blade, as optimization parameters. In addition, loss model was used to obtain fast and accurate prediction of the impeller efficiency. The optimization results illustrated that this system had advantages such as high accuracy and fine convergence, thus to effectively improve the design of the mixed-flow pump impellers. Numerical simulation was applied to determine the internal flow fields of the impeller obtained by optimization design, and to analyze both the relative velocity and the pressure distributions. The test results demonstrated that the mixed flow pump had the highest efficiency of 87.2%, the wide and flat high efficiency operation zone, the relatively wide range of blade angle adjustment, fine cavitation performance and satisfied stability.

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Abbreviations

W :

relative velocity vector of fluid motion

V :

absolute velocity vector of fluid motion

F :

body force of a unit mass of fluid

E r :

mechanical energy of relative motion of a unit mass of fluid

φ :

blade wrap angle

ω :

angular velocity of impeller rotation

V θ :

tangential component of absolute velocity

V m :

meridional component of absolute velocity

l :

meridional streamline length of blade zone

x :

meridional streamline length

(V θ r)0 :

velocity moment of leading edge

Δ(V θ r):

incremental of velocity moment from leading edge to trailing edge

m :

meridional streamline relative length

a 0 :

relative coefficient of parameter a

r :

radial direction coordinate

Z :

axial direction coordinate

θ O :

angle between OB and OA

Δθ h :

angle between OB and OH

Δθ t1 :

angle between OB and OT1

Δθ t2 :

angle between OB and OT2

r h :

spherical radius of hub

r t :

spherical radius of tip

α :

blade rotation angle on its own rotation axis

Φ :

flow rate coefficient

ψ :

head coefficient

Q :

flow rate

H :

actual head

n :

rotational speed of mixed-flow pump

D :

characteristic diameter

ρ :

fluid density

η :

hydraulic efficiency

M :

moment of fluid to rotation axis

NPSHc :

critical cavitation allowance

p i :

static pressure

c i :

absolute velocity

A i :

area of control unit on the inlet and outlet sections

n in :

number of nodes on the inlet section of computational domain

n out :

number of nodes on the outlet section of computational domain

N g :

grid number

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Authors and Affiliations

  1. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing, 100084, China

    Hao Bing & ShuLiang Cao

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  1. Hao Bing
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Correspondence to Hao Bing.

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Bing, H., Cao, S. Multi-parameter optimization design, numerical simulation and performance test of mixed-flow pump impeller. Sci. China Technol. Sci. 56, 2194–2206 (2013). https://doi.org/10.1007/s11431-013-5308-0

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