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WASSERWIRTSCHAFT
Published in: WASSERWIRTSCHAFT 13/2015

01-05-2015 | Hydropower

A Mathematical Model for the Swirling Flow Ingested by the Draft Tube of Francis Turbines

Authors: Prof. Dr.-Ing. Romeo Susan-Resiga, Dr.-Ing. Sebastian Muntean, Cosmin Ighişan

Published in: WASSERWIRTSCHAFT | Issue 13/2015

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Excerpt

We introduce and validate a mathematical model, derived from the turbomachinery throughflow theory, for computing the swirling flow exiting a Francis turbine runner operated within a range of discharge values. This swirling flow, further ingested by the draft tube, is used as inlet condition for numerically assessing the draft tube performance for variable discharge without actually computing the runner. The present methodology can be used when refurbishing the turbine runner, in order to insure that the new runner is a best match for the existing draft tube. …
previous article Spatio-Temporal Description of the Swirling Flow in Hydraulic Turbine Draft Tube
next article Hydrodynamic Design of a Storage Pump Impeller using Inverse Method and Experimental Investigation of the Global Performances

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Literature
[1]
Susan-Resiga, R.; Ciocan, G. D.; Anton, I.; Avellan, F.: Analysis of the Swirling Flow Downstream a Francis Turbine Runner. In: J. Fluids Eng. — Trans. ASME 128 (2006), p. 177–189.CrossRef
[2]
Galván, S.; Rubio, C.; Pachero, J.; Mendoza, C.; Toledo, M.: Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part I — computer optimization techniques. In: J. Glob. Optim. 55 (2013), p. 53–72.CrossRef
[3]
Galván, S.; Carlos, R.; Pachero, J.; Gildardo, S.; Georgina, C.: Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part II — performance evaluation of draft tube model. In: J. Glob. Optim. 55 (2013), p. 729–749.CrossRef
[4]
Susan-Resiga, R.; Muntean, S.; Avellan, F.; Anton, I.: Mathematical modeling of swirling flow in hydraulic turbines for the full operating range. In: J. Appl. Math. Model. 35 (2011), p. 4 759–4 773.CrossRef
[5]
Muntean, S.; Ciocan, T.; Susan-Resiga, R.; Cervantes, M.; Nilsson, H.: Mathematical, numerical and experimental analysis of the swirling flow at a Kaplan runner outlet. In: 26th IAHR Symposium on Hydraulic Machinery and Systems, IOP Conference Series: Earth and Environmental Science 15 (2012), p. 032001.
[6]
Susan-Resiga, R.; Muntean, S.; Ciocan, T.; Joubarne, E.; Leroy, P.; Bornard, L.: Influence of the velocity field at the inlet of a Francis turbine draft tube on performance over an operating range. In: 26th IAHR Symposium on Hydraulic Machinery and Systems, IOP Conference Series: Earth and Environmental Science 15 (2012), p. 032008.
[7]
Susan-Resiga, R.; Muntean, S.; Ciocan, T.; de Colombel, T.; Leroy, P.: Surrogate model for draft tube losses computation within a range of operating points. In: 27th IAHR Symposium on Hydraulic Machinery and Systems, IOP Conference Series: Earth and Environmental Science 22 (2014), p. 01202CrossRef
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Hirsch, Ch.; Warzee, G.: A finite element method for the axisymmetric flow computation in a turbomachine. In: Int. J. Numerical Methods in Engineering 10 (1976), p. 93–113.CrossRef
[12]
Muntean, S.; Susan-Resiga, R.; Anton, I.: Mixing interface algorithm for 3D turbulent flow analysis of the GAMM Francis turbine. In: Vad, J.; Lajos, T.; Schilling, R. (eds.): Modelling Fluid Flow: State of the Art (2004), p. 359–472.CrossRef
Metadata
Title
A Mathematical Model for the Swirling Flow Ingested by the Draft Tube of Francis Turbines
Authors
Prof. Dr.-Ing. Romeo Susan-Resiga
Dr.-Ing. Sebastian Muntean
Cosmin Ighişan
Publication date
01-05-2015
Publisher
Springer Fachmedien Wiesbaden
Published in
WASSERWIRTSCHAFT / Issue 13/2015
Print ISSN: 0043-0978
Electronic ISSN: 2192-8762
DOI
https://doi.org/10.1007/s35147-015-0503-5

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