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Establishment of a dimensional analysis-based prediction model for the head loss of pre-pump micro-pressure filters for micro-irrigation

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Abstract

A pre-pump micro-pressure filter is a new type of micro-irrigation filter, but there are few studies on the hydraulic performance of this type of filter. Indoor physical model tests considering the factors of the inlet flow, sand content, water separator type, and filter area were conducted. Dimensional analysis and multiple linear regression analysis were used to process the test results. The research results are summarized as follows. First, the influences of each factor on the head loss were ranked in the order of inlet flow > sand content > filter area. Second, a prediction model for the head loss of the filter was established, and the coefficient of determination, R2, was 0.94. The model was verified, and the relative error between the predicted and measured values was less than 10%.

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Abbreviations

h w :

Head loss (m)

Z :

Position head (m)

\(\frac{P}{\rho g}\) :

Pressure head (m)

\(\frac{{\alpha v^{2} }}{2g}\) :

Velocity head (m)

P :

Significant difference indicator (−)

K i :

Sum of head losses at each level of each factor (−)

k ii :

Mean value of head loss at each level of each factor (−)

R :

Range (−)

R ′ :

Adjusted range (−)

F :

Inter-group difference index (−)

Q :

Inlet flow (m3·s−1)

A :

Filter area (m2)

S :

Sand content (g·L−1)

d :

Aperture of filter screen (m)

v :

Flow rate of connecting pipe (m·s)

ρ :

Density of water (kg·m−3)

v f :

Average flow rate of filter mesh (m·s−1)

μ :

Dynamic viscosity (Pa·s)

L 1 :

Filter length (m)

g :

Gravitational acceleration (m·s−2)

π i :

Dimensionless parameters (−)

R 2 :

Coefficient of determination (−)

ζ :

Empirical coefficient (−)

bi :

Empirical indices (−)

RMSE:

Root mean square error (−)

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Acknowledgements

This study was financially supported by the Major Science and Technology Project of Xinjiang Uygur Autonomous Region (2022A02003-4), the Xinjiang Uygur Autonomous Region Special Project for the Construction of Innovative Environment (Talents and Bases)—“Tianshan Youth Plan” Project (2019Q075), the Xinjiang Water Resources Engineering Key Discipline Research Project (SLXK2017-01, SLXK2018-05), and a group-supporting study abroad project funded by the Xinjiang Uygur Autonomous Region People's Government in 2019. Xinjiang Uygur Autonomous Region Innovation Environment Construction Special Plan-Natural Science Plan Youth Science Foundation Project (2020D01B31).

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Authors and Affiliations

  1. College of Hydraulic and Civil Engineering, Xinjiang Agricultural University, Urumqi, 830052, China

    Hongfei Tao, Zijing Wu, Qiao Li, Mahemujiang Aihemaiti, Youwei Jiang & Wenxin Yang

  2. Xinjiang Key Laboratory of Hydraulic Engineering Security and Water Disasters Prevention, Urumqi, 830052, China

    Hongfei Tao, Zijing Wu, Qiao Li, Mahemujiang Aihemaiti, Youwei Jiang & Wenxin Yang

  3. Xinjiang Institute of Water Resources and Hydropower Research, Urumqi, 830052, China

    Yang Zhou

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  1. Hongfei Tao
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  2. Zijing Wu
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  3. Yang Zhou
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  4. Qiao Li
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  5. Mahemujiang Aihemaiti
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  6. Youwei Jiang
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  7. Wenxin Yang
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Contributions

Conceptualization, HT; methodology, ZW and YZ; software, ZW. And MA; validation, HT. and YZ; formal analysis, HT and ZW; investigation, HT and YJ; resources, HT. And WY; data curation, ZW; writing—original draft preparation, HT; writing—review and editing, HT and ZW, QL; supervision,HT and YJ; project administration, HT; funding acquisition, HT;

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Correspondence to Hongfei Tao.

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Hongfei Tao and Zijing Wu are co-first authors.

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Tao, H., Wu, Z., Zhou, Y. et al. Establishment of a dimensional analysis-based prediction model for the head loss of pre-pump micro-pressure filters for micro-irrigation. Irrig Sci 41, 803–815 (2023). https://doi.org/10.1007/s00271-023-00879-2

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  • DOI: https://doi.org/10.1007/s00271-023-00879-2

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