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Extending the pressure-time method to bend using 3D-CFD
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0003-2746-1416
Department of Hydraulics, Hydraulic Machinery and Environmental Engineering, University Politehnica of Bucharest, Romania.
Vattenfall AB, Sweden.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Fluid and Experimental Mechanics.ORCID iD: 0000-0001-7599-0895
2024 (English)In: Flow Measurement and Instrumentation, ISSN 0955-5986, E-ISSN 1873-6998, Vol. 96, article id 102535Article in journal (Refereed) Published
Abstract [en]

According to the IEC 60041 standard, the pressure-time method (1D PTM) can be employed to determine the flow rate in hydraulic turbines. This method assumes a one-dimensional flow and applies to straight pipes with uniform cross-sections, with specific restrictions on the pipe length, fluid velocity, and distance between the measurement sections from any irregularities in the pipeline. However, challenges arise when applying this method in low-head hydropower plants due to the short lengths, irregularities like bends and developing flows in the intake. The present paper aims to improve the performance of the method in the presence of a bend. To this end, a test rig has been developed and measurements performed, including such geometry. The data are evaluated using the development of a newly proposed approach combining the 1D PTM based on an energy balance formulation and three-dimensional computational fluid dynamics (3D CFD) developed for axis-symmetrical accelerating flows. The updated methodology includes a correction of the experimental pressure measurements used in the 1D PTM to account for the effects of the Dean vortices present after the bend as well as the kinetic energy correction factors which deviate from known values in transient conditions. The results obtained under conditions involving the presence of bends either between or in close proximity to one show a significant improvement compared to the standard one-dimensional pressure-time method.

Place, publisher, year, edition, pages
Elsevier , 2024. Vol. 96, article id 102535
Keywords [en]
3D CFD, Bend, Low-head hydraulic turbine, Pressure-time method out of IEC 60041
National Category
Fluid Mechanics
Research subject
Fluid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-103997DOI: 10.1016/j.flowmeasinst.2024.102535ISI: 001170775400001Scopus ID: 2-s2.0-85182870156OAI: oai:DiVA.org:ltu-103997DiVA, id: diva2:1832293
Note

Validerad;2024;Nivå 2;2024-02-26 (joosat);

Full text license: CC BY

Available from: 2024-01-29 Created: 2024-01-29 Last updated: 2025-10-21Bibliographically approved
In thesis
1. Extension of the Pressure Time Method to 3-Dimensional Flows
Open this publication in new window or tab >>Extension of the Pressure Time Method to 3-Dimensional Flows
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Hydropower has stood as a clean and sustainable energy source since the late 19th century. Many turbines were built 50 to 70 years ago and require refurbishment. It is important to assess the efficiency of turbines before and after refurbishment to meet performance guarantees .However, the flow rate makes such estimation challenging. Moreover, determining the volumetric flow rate is crucial to specify the hydraulic performance characteristics of hydraulic turbines. The pressure-time method allows measuring the flow rate in hydraulic turbines, according to the IEC 60041 standard, based on transforming momentum into pressure during the deceleration of a liquid mass. The flow rate is obtained by integrating the differential pressure and the pressure loss history between two cross-sections.

This method assumes a one-dimensional flow (1D) and is limited to straight pipes with a uniform cross-section and specific restrictions on length (L>10 m), velocity (U.L>50 m2s-1) and distance between the measurement sections from any irregularities in the pipeline. However, challenges arise when applying this method in low-head hydropower plants due to the short lengths, irregularities like bends, variation in cross section and developing flows in the intake. This thesis aims to improve the performance of the method out of IEC standards for conditions similar to low-head conditions.

The thesis is divided into the numerical simulation of the fluid during the pressure-time method transient, experimental measurement, and a combination of both. The physics in the pressure-time method is studied to compare different assumptions to estimate the viscous losses for both developed and developing flow. Moreover, a test rig has been developed to extend the method’s applicability. The test rig is designed to study the pressure-time method for developing flow conditions, small measurement lengths, variable cross-section and the presence of bend close to measurement sections, which could be similar to low-head turbine conditions.

Finally, the data are evaluated using the new approach combining the 1D pressure-time method and three-dimensional computational fluid dynamics (3D CFD).

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2024. p. 80
Series
Doctoral thesis / Luleå University of Technology, ISSN 1402-1544
National Category
Energy Engineering
Research subject
Fluid Mechanics
Identifiers
urn:nbn:se:ltu:diva-104060 (URN)978-91-8048-478-7 (ISBN)978-91-8048-479-4 (ISBN)
Public defence
2024-03-18, E632, Luleå University of Technology, Luleå, 12:00 (English)
Opponent
Supervisors
Available from: 2024-02-02 Created: 2024-02-01 Last updated: 2025-10-21Bibliographically approved

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