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Investigation of vortex dynamics diagnosis in the stall state of mixed-flow pump with blade gap size effect

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Abstract

Rotating stall always occurs in the mixed-flow pump operating at partial load condition, not merely affecting the unit efficiency, but also generating more serious turbulent flow fields. The tip leakage vortex (TLV), as a classic vortex structure in hydraulic machinery, is deserved to investigate the impact on the energy conversion instability of mixed-flow pumps. In this study, the blade tip size effect has been considered and the stall transition flow fields are investigated in detail based on the vortex dynamics diagnosis (VDD) method. The research results show that the blade tip size plays a pivotal role in the stall range of mixed-flow pump, and display a shrinking tendency with size growth. The negative value of total pressure flow integral (TPFI) Pu comes up with the inlet recirculation vortex and the large-scale stall vortex affected by the stall unsteady flow, which stands at the impeller inlet and outlet. The Pu and stall flow in the guide vane channel are also affected indirectly by the impeller gap size, not just the stall flow in the impeller. Thus, the selection and control of impeller gap size will provide a light perspective for the pump optimization and stall control in the mixed-flow pump.

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Abbreviations

D :

The dissipation work of the entire control volume, kg·m2·s

D 1 :

The inlet diameter of impeller, mm

D 2 :

The outlet diameter of impeller, mm

E :

The comparison deviation

E C :

The corrected comparison deviation.

f :

The volume force

G :

The increase of energy after the fluid passes through the flow channel

H :

Head, m

H n :

Normalized helicity

K :

The sum of the total kinetic energy of the control body, m2/s2

n :

Rated speed of impeller, r/min

n s :

Specific speed

P :

The compression work of the entire control volume, kg·m2·s

P ∞ :

The static pressure, Pa

P u :

Total pressure flow integral, W/s2

Q des :

Rated flow rate, m3/h

Q cri :

Flow rate under critical stall condition, m3/h

Q deep :

Flow rate under deep stall condition, m3/h

Φ :

The dissipation rate

S in :

The inlet section of the flow channel

T :

Second-rank tensor

u :

The velocity vector

u bn :

The velocity of the moving boundary of the control body, m/s

u l :

The velocity along the streamline direction, m/s

U :

The axial velocity, m/s

U V :

The confirmation uncertainty of the parameter deviation

V :

The control volume, m3

W :

The flow cross section of the flow channel, m2

Z :

Number of impeller blades

Z d :

Number of guide vane blades

δ :

Tip clearance of impeller blade, mm

v :

The velocity vector

ρ :

The fluid density, kg/m3

τ :

The space variable

ω :

The vorticity vector

ΩM z :

The shaft power applied to the fluid by the impeller, kW

BVF:

Boundary vorticity flux

CFD:

Computational fluid dynamics

DRS:

Diffuser rotating stall

LE:

Leading edge

LES:

Large eddy simulation

MRF:

Moving reference frame

RANS:

Reynolds-Averaged Navier–Stokes

SST:

Shear Stress Transport

TE:

Trailing edge

TLF:

Tip leakage flow

TLV:

Tip leakage vortex

TPFI:

Total pressure flow integral

VDD:

Vortex dynamics diagnosis

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Acknowledgements

The work was sponsored by the Project funded by China Postdoctoral Science Foundation (No. 2022TQ0127); the Key International Cooperative research of National Natural Science Foundation of China (No. 52120105010); Open Research Subject of Key Laboratory of Fluid and Power Machinery (Xihua University), Ministry of Education (LTDL-2022010); National Natural Science Foundation of China (No. 52179085); the National Key R&D Program Project (No. 2020YFC1512405); the Sixth “333 High Level Talented Person Cultivating Project” of Jiangsu Province, Funded projects of “Blue Project” in Jiangsu Colleges and Universities; “Belt and Road” Innovation Cooperation Project of Jiangsu Province (No. BZ2020068); Independent Innovation Fund Project of Agricultural Science and Technology in Jiangsu Province (No. CX(20)2037); Wenling Fluid Machinery Technology Institute of Jiangsu University (No. 01011).

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Authors and Affiliations

  1. National Research Center of Pumps, Jiangsu University, Zhenjiang, 212013, China

    Leilei Ji, Yongkang Li, Wei Li, Shuo Li & Haoming Li

  2. Key Laboratory of Fluid and Power Machinery, Xihua University, Ministry of Education, Chengdu, 610039, China

    Leilei Ji

  3. Institute of Fluid Engineering Equipment Technology, Jiangsu University, No.301, Xuefu Road, Jingkou District, Zhenjiang, 212009, Jiangsu, China

    Leilei Ji & Wei Li

  4. Wenling Fluid Machinery Technology Institute of Jiangsu University, Wenling, 317525, China

    Leilei Ji

  5. College of Mechanical Engineering, Nantong University, Nantong, 226019, China

    Yongfei Yang

  6. College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou, 225009, China

    Yang Yang

  7. Department of Mechanical Engineering and Materials Science, Washington University in St. Louis, St. Louis, MO, 63130, USA

    Ramesh K. Agarwal

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  1. Leilei Ji
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  2. Yongkang Li
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Correspondence to Wei Li or Ramesh K. Agarwal.

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Ji, L., Li, Y., Li, W. et al. Investigation of vortex dynamics diagnosis in the stall state of mixed-flow pump with blade gap size effect. J Braz. Soc. Mech. Sci. Eng. 45, 395 (2023). https://doi.org/10.1007/s40430-023-04268-w

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