Skip to main content
Log in

Lattice Boltzmann simulation of flows in bifurcate channel at rotating inflow boundary conditions and resulted different outflow fluxes

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

The Lattice Boltzmann method (LBM) is used to simulate the flow field in a bifurcate channel which is a simplified model of the draft tube of hydraulic turbine machine. According to the simulation results, some qualitative conclusions can be deduced. The reason of uneven flux in different branches of draft tube is given. Not only the vortex rope itself, but also the attenuation of the rotation strength is important in bringing on the uneven flux. The later leads to adverse pressure gradient, and changes the velocity profile. If the outlet contains more than one exit, the one that contains the vortex rope will lose flux because of this adverse pressure gradient. Several possible methods can be used to minimize the adverse pressure gradient domain in order to improve the efficiency of turbine machine.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zhang, R.K., Cai, Q.D., Wu, J.Z., et al.: The physical origin of severe lowfrequency pressure fluctuations in giant Francis turbines. Mod. Phys. Lett. B 28 & 29, 1527–1530 (2005)

    Article  Google Scholar 

  2. Zhang, R.K., Mao, F., Wu, J.Z., et al.: Analysis and control of part-load unsteady flow in Francis turbine’s draft tube. In: Proceedings of GT2007 ASME Turbo Expo 2007: Power for Land, Sea and Air. May 14–17, 2007, Montreal, Canada, GT2007-27440

  3. Andersson, U., Jungstedt, J., Cervantes, M.J.: Model experiments of dynamic loads on a draft tube pier. In: Proceedings of the 24th IAHR Symposium on Hydraulic Machinery and Systems, Foz Do Iguassu, Brazil, Oct. 27–31, 2008

  4. Zou, Q., He, X.: On pressure and velocity boundary conditions for the lattice Boltzmann BGK model. Phys. Fluids 9(6), 1591 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  5. Nobel, D., Chen, S., Georgiadis, J., et al.: A consistent hydrodynamic boundary condition for the lattice Boltzmann method. Phys. Fluids 7(1), 203 (1995)

    Article  Google Scholar 

  6. Wu, J.Z., Ma, H.Y., Zhou, M.D.: Vorticity and Vortex Dynamics. Springer, Berlin, 2006

    Book  Google Scholar 

  7. Chen, Y., Cai, Q.D.: The Lattice Boltzmann method based on quadtree mesh. Modern Physics Letters B 23(3), 289–292 (2009)

    Article  MATH  Google Scholar 

  8. Chen, Y., Xia, Z.H., Cai, Q.D.: Lattice Boltzmann method with tree structured mesh and treatment of curved boundaries. Chinese Journal of Computational Physics 27(1), 23–30 (2010) (in Chinese)

    Google Scholar 

  9. Liu, S.H., Wu, X.J., Wu, Y.L.: Analysis of the influence of runner-hub shape on the internal flow in francis turbine. J. Hydraul. Eng. 25(1), 67–71 (2006) (in Chinese)

    Google Scholar 

  10. Blommaert, G.: Étude du comportement dynamique des turbines francis: controle actif de leur stabilite de fonctionnement. [Ph.D. Thesis], École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2000

    Google Scholar 

  11. Susan-Resiga, R., Vu, C.T., Muntean, S., et al.: Jet control of the draft tube vortex rope in francis turbines at partial discharge. In: Proceedings of the 23rd IAHR Symposium on Hydraulic Machinery and Systems, Yokohama, Japan, Oct. 17–21, Paper No. 192, 2006

  12. Zhang, R.K., Mao, F., Wu, J.Z., et al.: Characteristics and control of the draft-tube flow in part-load francis turbine. Journal of Fluids Engineering 131, 021101 (2009)

    Article  Google Scholar 

  13. Wei, C.X., Han, F.Q., Chen, Z.S., et al.: The characteristic test of runner hubs for hydraulic turbine. Large Electric Machine and Hydraulic Turbine (1), 36–39 (2001) (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qing-Dong Cai.

Additional information

The project was supported by the Key Project of National Natural Science Foundation of China (10532010).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cai, QD. Lattice Boltzmann simulation of flows in bifurcate channel at rotating inflow boundary conditions and resulted different outflow fluxes. Acta Mech Sin 27, 510–518 (2011). https://doi.org/10.1007/s10409-011-0466-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-011-0466-4

Keywords

Navigation