Technical Papers
May 20, 2020

Analytical Methodology for the Discharge-Stage Relation of Flexible Shape Palmer-Bowlus Flumes

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Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 8

Abstract

The flexible shape Palmer-Bowlus flume is a simple device for flow measurement in free-surface flow circular channels and conduits. In this study, the discharge-stage relation for Palmer-Bowlus flumes is determined based on the Bernoulli theorem. The proposed analytical method is able to account for geometric peculiarities and shape deformation of the flume for adaptation to pipes of different diameters, without need of experimental calibration. Experimental tests on different conduits demonstrate the robustness of the theoretical formulation for reliable free-surface flow measurement. Empirical criteria are also provided for assessing the limit of the proposed discharge-stage relation. The research will further encourage and support the use of these flexible and versatile flumes for hydraulic engineering applications.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The authors warmly thank Eng. Norberto Fiori, Research and Development Director of SGM Lektra srl, for his assistance in setting up the experimental equipment and in carrying out the validation tests.

References

Arredi, F. 1936. “Discussion on adaptation of Venturi flumes to flow measurements in conduits.” Trans. Am. Soc. Civ. Eng. 101: 1231.
ASTM. 2013. Standard test method for open-channel flow measurement of water with palmer-bowlus flumes. ASTM D5390-93. West Conshohocken, PA: ASTM.
Bos, M. G., J. A. Replogle, and A. J. Clemmens. 1984. Flow measuring flumes for open channel systems. New York: Wiley.
Chow, V. T. 1959. Open-channel hydraulics. New York: McGraw-Hill.
Citrini, D. 1939. “Misuratori a risalto. Rassegna di alcuni tipi finora adottati.” L’Energia Elettrica 16 (10): 758–763.
Citrini, D. 1941. Modellatori a risalto. Guida al progetto. Milan, Italy: Istituto di Idraulica e Costruzioni Idrauliche del Politecnico di Milano.
Clemmens, A. J., T. L. Wahl, M. G. Bos, and J. A. Replogle. 2001. Water measurement with flumes and weirs. Wageningen, Netherlands: International Institute for Land Reclamation and Improvement.
Contessini, F. 1936. “Dispositivi per la misura della portata dei canali con minime perdite di quota. Nuove ricerche sperimentali sui misuratori a risalto idraulico (Canali Venturi). Parte II: Descrizione delle esperienze.” L’Energia Elettrica 13 (5): 236–244.
Crump, E. S. 1922. Moduling of irrigation channels, No. 26. Lahore, India: Punjab Irrigation Branch Publications.
Crump, E. S. 1933. Moduling of irrigation channels, No. 30A. Lahore, India: Punjab Irrigation Branch Publications.
Dabrowski, W., and U. Polak. 2012. “Improvements of flow rate measurements by flume.” J. Hydraul. Eng. 138 (8): 757–763. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000567.
De Marchi, G. 1936. “Dispositivi per la misura della portata dei canali con minime perdite di quota. Nuove ricerche sperimentali sui misuratori a risalto idraulico (Canali Venturi). Parte I: Esame del processo idraulico.” L’Energia Elettrica 13 (1): 6–15.
De Marchi, G. 1937. “Dispositivi per la misura della portata dei canali con minime perdite di quota. Nuove ricerche sperimentali sui misuratori a risalto idraulico (Canali Venturi). Parte III: Risultati delle esperienze.” L’Energia Elettrica 14 (3): 189–214.
Dufresne, M., and J. Vasquez. 2013. “Head-discharge relationship of Venturi flumes: From long to short throats.” J. Hydraul. Res. 51 (4): 465–468. https://doi.org/10.1080/00221686.2013.781550.
Engel, F. V. A. E. 1933. “Non-uniform flow of water: problems and phenomena in open channels with side contractions.” Engineer 155: 392–394.
Engel, F. V. A. E. 1934. “The Venturi flume.” Engineer 158: 104–107.
Guandalini, R., G. Agate, S. Manenti, S. Sibilla, and M. Gallati. 2012. “Innovative numerical modeling to investigate local scouring problems induced by fluvial structures.” In Proc., 6th IABMAS Int. Conf. Villa Erba. London: Taylor & Francis.
Hager, W. H. 1988. “Mobile flume for circular channel.” J. Irrig. Drain. Eng. 114 (3): 520–534. https://doi.org/10.1061/(ASCE)0733-9437(1988)114:3(520).
Herschel, C. 1909. Measuring water. Providence, RI: Builders Iron Foundry.
Inglis, C. C. 1928. Notes on standing wave flumes and flume meter baffle falls. Mumbai, India: Public Works Dept., Government of Bombay.
ISO. 2013. BSI, BS flow measurement structures—Rectangular, trapezoidal and U-shaped flumes. Geneva: ISO.
Jameson, A. H. 1925. “The Venturi flume and the effect of contractions in open channels.” Trans. Inst. Water Eng. 30: 19–24.
Jameson, A. H. 1930. “The development of the Venturi flume.” Water Water Eng. 32: 105–107.
Khafagi, A. 1942. Der VenturiKanal: Theorie und Anwendung. Zürich, Switzerland: Eidgenossische technische hochschule Zurich.
Linford, A. 1942. “Venturi flume flow meter.” Civ. Eng. Public Works Rev. 36: 582–587.
Ludwig, J. H., and R. G. Ludwig. 1951. “Design of Palmer-Bowlus flumes.” Sewage Ind. Wastes 23 (9): 1096–1107.
Ludwig, R. G., and J. D. Parkhurst. 1974. “Simplified application of Palmer-Bowlus flow meter.” J. Water Pollut. Control Fed. 46 (12): 2764–2769.
Manenti, S., S. Sibilla, M. Gallati, G. Agate, and R. Guandalini. 2012. “SPH simulation of sediment flushing induced by a rapid water flow.” J. Hydraul. Eng. 138 (3): 272–284. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000516.
Nebbia, G. 1936. “Venturimetri per canali a sezioni di forma generica.” Acqua e Gas 25 (11): 270–291.
Nebbia, G. 1938a. “Venturimetri per canali a sezioni di forma generica: primi risultati sperimentali.” Acqua e Gas 27 (5): 155–181.
Nebbia, G. 1938b. “Venturimetri per canali a sezioni di forma generica: primi risultati sperimentali” Acqua e Gas 27 (6): 199–214.
Palmer, H. K., and F. D. Bowlus. 1936. “Adaptation of Venturi flumes to flow measurements in conduits.” Trans. Am. Soc. Civ. Eng. 101: 1195–1216.
Parshall, R. L. 1926. “The improved Venturi flume.” Trans. Am. Soc. Civ. Eng. 89: 841–851.
Parshall, R. L. 1936. The Parshall measuring flume. Fort Collins, CO: Colorado State College.
Samani, Z. 2017. “Three simple flumes for flow measurement in open channels.” J. Irrig. Drain. Eng. 143 (6): 04017010. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001168.
Samani, Z., S. Jorat, and M. Yousaf. 1991. “Hydraulic characteristics of a circular flume.” J. Irrig. Drain. Eng. 117 (4): 558–566. https://doi.org/10.1061/(ASCE)0733-9437(1991)117:4(558).
Stevens, J. C. 1936. “Discussion on adaptation of Venturi flumes to flow measurements in conduits by K. Harold, R.L. Palmer and F.D. Bowlus.” Trans. Am. Soc. Civ. Eng. 101: 1229–1231.
Sturm, T. W. 2009. Open channel hydraulics. New York: McGraw-Hill Education.
UK Environment Agency. 2014. Minimum requirements for the self-monitoring of effluent flow, version 4. Rotherham: Environment Agency.
Wahl, T. L., A. J. Clemmens, J. Replogle, and M. G. Bos. 2005. “Simplified design of flumes and weirs.” Irrig. Drain. 54 (2): 231–247. https://doi.org/10.1002/ird.160.
Wells, E. A., and H. D. Gotaas. 1958. “Design of Venturi flumes in circular conduits.” Trans. Am. Soc. Civ. Eng. 123 (1): 749–771.
Wright, S. J., B. P. Tullis, and T. M. Long. 1994. “Recalibration of Parshall flumes at low discharges.” J. Irrig. Drain. Eng. 120 (2): 348–362. https://doi.org/10.1061/(ASCE)0733-9437(1994)120:2(348).

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 146Issue 8August 2020

History

Received: Aug 6, 2019
Accepted: Feb 24, 2020
Published online: May 20, 2020
Published in print: Aug 1, 2020
Discussion open until: Oct 20, 2020

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Assistant Professor, Dept. of Civil Engineering and Architecture Dipartimento di Ingegneria Civile e Architettura and Research Center on Water Centro di Ricerca sulle Acque, Univ. of Pavia, via Ferrata 3, Pavia 27100, Italy (corresponding author). ORCID: https://orcid.org/0000-0002-5498-4370. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering and Architecture Dipartimento di Ingegneria Civile e Architettura and Research Center on Water Centro di Ricerca sulle Acque, Univ. of Pavia, via Ferrata 3, Pavia 27100, Italy. ORCID: https://orcid.org/0000-0002-5467-9640. Email: [email protected]
Francesco Volponi [email protected]
Chairman, SGM Lektra srl, via Papa Giovanni XXIII 49, Rodano Milan 20090, Italy. Email: [email protected]
Carlo Ciaponi [email protected]
Full Professor, Dept. of Civil Engineering and Architecture Dipartimento di Ingegneria Civile e Architettura and Research Center on Water Centro di Ricerca sulle Acque, Univ. of Pavia, via Ferrata 3, Pavia 27100, Italy. Email: [email protected]

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