Modeling of the operating parameters of the Cross-Flow Hydraulic Turbine applying the Finite Element Method

Authors

  • Salomé González Chávez Facultad de Ingeniería Mecánica, Universidad Nacional de Ingeniería. Lima, Perú.
  • Rommmel Benjamín Cotacallapa Vera Facultad de Ingeniería Mecánica, Universidad Nacional de Ingeniería. Lima, Perú.

DOI:

https://doi.org/10.21754/tecnia.v16i2.393

Keywords:

hydraulic turbine, cross flow, Michell-Banki, flow modeling, injector guideline, bun, CFD, FEM

Abstract

An application of Computational Fluid Dynamics (CFD) using the Finite Element Method (FEN) for modeling the behavior of a 50 kW (Q = 120 l/s) Cross Flow Hydraulic Turbine is presented. H = 50 m and ω = 124.61 rad/s), with the objective of explaining in a numerical methodological way, the classical design principles and assumptions, as well as the search for their optimization. As results, pressure and velocity fields are obtained for different conditions (Q = 0 - 203.61 l/s, H = 9.40 - 580.71 m and ω = 25, 50, 100 and 125 rad/s) and regimes (laminar, transition and turbulent ) of operation, from which some indicators of turbine operation are quantified (distribution of velocity vectors in the intake section, efficiency and guideline injector coefficient, characteristic curves of the 50 kW turbine and of the unit turbine ). Finally, operating parameters of the turbine are projected for the design conditions under a theoretical perspective using flow modeling.

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References

[1] Coz Pancorbo, A. F., "Diseño de una Turbina Michell-Banki". Tesis de Competencia Profesional, Universidad Nacional de Ingeniería, Lima, 1961.

[2] Hernandez Bazo, C. A.; "Diseño, Construcción y Ensayo de Turbinas de Flujo Transversal para Microcentrales Eléctricas". Tesis de Competencia Profesional, Universidad Nacional de Ingeniería, Lima, 1980.

[3] INE - Instituto Nacional de Energía, "Estandarización de Turbinas tipo Michell-Banki", Quito, 1986.

[4] Cotacallapa Vera, R. B.; "Estudio del Efecto del Espesor de Alabe y la Contracción de la Vena en el Diseño de Turbinas Hidráulicas de Flujo Cruzado". Tesis de Competencia Profesional, Universidad Nacional de Ingeniería, Lima, 2006.

[5] Bernardi, D.; Hecht, F.; Ohtsuka, K.; Pironneau, O.; "FreeFEM+ for Macs, PCs, Linux", 1998.

[6] Costa Pereira, N. H.; Texeira Borges, J. E. B.; "Análise Computacional Bidimensional de Tubeiras Cross - Flow". Technical University of Lisboa, Lisboa, 1994.

[7] Costa Pereira, N. H.; Texeira Borges, J. E. B.; "Study of the Nozzle Flow in a Cross - Flow Turbine". Technical University of Lisboa, Lisboa, 1995.

[8] Ishimatsu, K.; Kage, K.; Okubayashi, T.; "Simulation for the Flow around Cross Flow Turbine with end plates". JSCFP, Tokio, 2000.

Published

2006-12-01

How to Cite

[1]
S. González Chávez and R. B. Cotacallapa Vera, “Modeling of the operating parameters of the Cross-Flow Hydraulic Turbine applying the Finite Element Method”, TEC, vol. 16, no. 2, pp. 59–67, Dec. 2006.

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