Abstract
The turbulent flow, with the Reynolds number of 5.9 × 105, in the strongly 3-D skew blade passage of a true Francis hydro turbine was simulated by the Large Eddy Simulation (LES) approach to investigate the spatial and temporal distributions of the fully developed turbulence in the passage with strongly 3-D complex geometry. The simulations show that the strong three-dimensionality of the passage has a great amplification effect on the turbulence in the passage, and the distributions of the turbulence are diversely nonuniform, for instance, the rise of turbulent kinetic energy in the lower 1/3 region of the passage is more than 45%, whereas its rise in the upper 1/3 region is less than 1%. With the LES approach, the details of the flow structures at the near-wall surfaces of the blades could be obtained. Several turbulent spots were captured.
Similar content being viewed by others
References
WISSIBK J. G. DNS of separating, low Reynolds number flow in a turbine cascade with coming wakes [J]. Int. Journal of Heat and Fluid Flow, 2003, 24:626-635.
KALITZIN G., WU X. H. and DURBIN P. A. DNS of fully turbulent flow in LPT passage [J]. Int. Journal of Heat and Fluid Flow, 2003, 24:636-644.
RODI W. DNS and LES of some engineering flows [J]. Fluid Dynamics Research, 2006, 38: 145–173.
WU X. H. and DURBIN P. A. Evidence of longitudinal vortices evolved from distorted wakes in a turbine passage [J]. J. Fluid Mech., 2001, 446: 199–228.
JORDAN S. A. A large-eddy simulation methodology in generalized curvilinear coordinates [J]. J. Comput. Phys., 1999, 148: 322–402.
MOIN P. Advances in large eddy simulation methodology for complex flows [J]. Int. Journal of Heat and Fluid Flow, 2002, 24: 710–720.
CONWAY S., CARAENI D. and FUCHS L. Large eddy simulation of the flow through the blades of a swirl generator [J]. Int. Journal of Heat and Fluid Flow, 2002, 21: 664–673.
TYAGI M. and ACHARYA S. Large eddy simulation of turbulent flows in complex and moving rigid geometries using the immersed boundary method [J]. Int. Journal for Numerical Methods in Fluids, 2005, 48: 691–722.
MANNA M., BENOCCI C. and SIMONS E. Large eddy simulation of turbulent flows via domain decomposition techniques, Part 1: theory [J]. Int. Journal for Numerical Methods in Fluids, 2005, 48: 367–395.
BENOCCI C., GIAMMANCO R. and MANNA M. et al. Large eddy simulation of turbulent flows via domain decomposition techniques, Part 2: applications [J]. Int. Journal for Numerical Methods in Fluids, 2005, 48: 397–422.
LIU Xiao-bing, ZENG Yong-zhong and CAO Shu-you, Numerical predication of vortex flow in hydraulic turbine draft tube for LES [J]. Journal of Hydrodynamics, Ser. B, 2005, 17(4): 448–454.
WANG Jun, SUN Jian-ping and ZHANG Ke-wei et al. Study on PIV measurement of exit velocity distribution of Francis turbine runner [J]. Journal of Hydrodynamics, Ser. A, 2005, 20(5): 604–609 (in Chinese).
LAI Xi-de. Analysis and estimation of hydraulic stability of Francis hydro turbine [J]. Journal of Hydrodynamics, Ser. B, 2004, 16(2): 194–200.
XIN Zhe, ZHANG Lan-jin and CHANG Jin-shi. Numerical simulation of three-dimensional turbulent flow through a turbine spiral casing with stay ring and guide vanes [J]. Journal of Hydrodynamics, Ser. A, 2004, 19(6): 713–718 (in Chinese).
MOIN P. and MAHESH K. Direct numerical simulation: a tool in turbulence research [J]. Annual Review of Fluid Mechanic, 1998, 30: 539–578
BALARAS E., BENOCCI C. and POIMELLI U. Two layer approximate boundary conditions for large-eddy simulations [J]. AIAA Journal, 1996, 34: 1111–1119.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Grant Nos. 50579025, 90210005).
Biography: ZHANG Li-xiang (1959-), Male, Ph. D., Professor
Rights and permissions
About this article
Cite this article
Zhang, Lx., Wang, Wq. & Guo, Y. Intrinsic Features of Turbulent Flow in Strongly 3-D Skew Blade Passage of a Francis Turbine. J Hydrodyn 19, 92–99 (2007). https://doi.org/10.1016/S1001-6058(07)60033-X
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1001-6058(07)60033-X