Skip to main content
SpringerLink
Log in

Effects of non-equilibrium condensation on deviation angle and efficiency in a steam turbine stage

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

In this paper, the AUSM-van Leer hybrid scheme is extended to solve the governing equations of two-phase transonic flow in a steam turbine stage. The dominant solver of the computational domain is the non-diffusive AUSM scheme (1993), while a smooth transition from AUSM in regions with large gradients to the diffusive scheme by van Leer (1979) guarantees a robust hybrid scheme throughout the domain. The steam is assumed to obey non-equilibrium thermodynamic model. The effects of condensation on different specifications of the flow field are studied at subsonic/supersonic flow regimes. It is observed that as a result of condensation, the aerothermodymics of the flow field changes. For example in supersonic wet case (P b = 14.55 kPa), pressure loss coefficient of rotor and total entropy generation are, respectively, 77% and 29% more than those in dry conditions. Also the value of rotor deviation angle reaches 6.27° in wet case and P b = 14.55 kPa.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. G. Gerbar and M. J. Kermani, A pressure based Eulerian-Eulerian multi-phase model for non-equilibrium condensat1ion in transonic steam flow, International Journal of Heat and Mass Transfer, 47 (10) (2004) 2217–2231.

    Article  MATH  Google Scholar 

  2. J. E. Mcdonald, Homogeneous nucleating of vapor condensation I & II, Kinetic & Thermodynamic aspects, American Journal of Physics, 30 (1962) 870–877.

    Article  Google Scholar 

  3. M. J. Moore, P. T. Walters and R. I. Crane, Predicting the fog-drop size in wet steam turbines, International Mechanical Engineering Conference, Warwick (1973).

    Google Scholar 

  4. F. Bakhtar and M. R. Mahpeykar, On the performance of a cascade of turbine rotor tip section blading in nucleating steam, Part 3: Theoretical treatment, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 211 (3) (1997) 195–210.

    Article  Google Scholar 

  5. F. Bakhtar, Z. A. Mamat, O. C. Jadayel and M. R. Mahpeykar, On the performance of a cascade of improved turbine nozzle blades in nucleating steam. Part 1: Surface pressure distributions, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223 (8) (2009) 1903–1914.

    Google Scholar 

  6. F. Bakhtar, Z. A. Mamat and O. C. Jadayel, On the performance of a cascade of improved turbine nozzle blades in nucleating steam. Part 2: Wake traverses, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223 (8) (2009) 1915–1929.

    Google Scholar 

  7. F. Bakhtar, M. Y. Zamri and J. M. Rodriguez-Lelis, A comparative study of treatment of two-dimensional two-phase flows of steam by a Runge-Kutta and by Denton’s methods, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 221 (6) (2007) 689–706.

    Google Scholar 

  8. J. B. Young, Critical conditions and the chocking mass flow rate in non-equilibrium wet steam flows, Journal of Fluids Engineering, 106 (4) (1984) 452–458.

    Article  Google Scholar 

  9. J. B. Young, Two-dimensional, non-equilibrium, wet-steam calculations for nozzles and turbine cascades, ASME Journal of Turbomachinery, 114 (1992) 569–579.

    Article  Google Scholar 

  10. A. G. Gerber, Two-phase Eulerian/Lagrangian model for nucleating steam flow, Journal of Fluids Engineering, 124 (2) (2002) 465–475.

    Article  MathSciNet  Google Scholar 

  11. B. Nikkhahi, M. Shams and M. Ziabasharhagh, A numerical investigation of two-phase steam flow around a 2-D turbine's rotor tip, International Communications in Heat and Mass Transfer, 36 (6) (2009) 632–639.

    Article  Google Scholar 

  12. J. Halama, F. Benkhaldoun and J. Fort, Flux schemes based finite volume method for internal transonic flow with condensation, International Journal for Numerical Methods in Fluids, 65 (8) (2011) 953–968.

    Article  MathSciNet  MATH  Google Scholar 

  13. S. Dykas and W. Wroblewki, Single-and two-fluid models for steam condensing flow modeling, International Journal of Multiphase Flow, 37 (9) (2011) 1245–1253.

    Article  Google Scholar 

  14. M. S. Liou and C. J. Steffen, A new flux splitting scheme, Journal of Computational Physics, 107 (1) (1993) 23–39.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Radespiel and N. Kroll, Accurate flux vector splitting for shocks and shear layers, Journal of Computational Physics, 121 (1) (1995) 66–78.

    Article  MathSciNet  MATH  Google Scholar 

  16. M. S. Liou, A sequel to AUSM, Part II: AUSM+-up for all speeds, Journal of Computational Physics, 214 (1) (2006) 137–170.

    Article  MathSciNet  MATH  Google Scholar 

  17. P. Halder, K. P. Sinhamahapatra and N. Singh, Numerical investigation of supersonic wake of a wedge using AUSM+ scheme on unstructured grid, International Journal of Applied Mathematics and Mechanics, 7 (11) (2011) 46–68.

    MATH  Google Scholar 

  18. M. J. Kermani and A. G. Gerber, A general formula for the evaluation of thermodynamic and aerodynamic losses in nucleating steam flow, International Journal of Heat and Mass Transfer, 46 (17) (2003) 3265–3278.

    Article  MATH  Google Scholar 

  19. J. P. Sislian, Condensation of water vapor with or without a carrier gas in a shock tube, UTIAS Report 201, Toronto University (1975).

    Google Scholar 

  20. J. D. Anderson, Computational fluid dynamics; The basics with applications, McGraw-Hill (1995).

    Google Scholar 

  21. B. Van Leer, Towards the ultimate conservation difference scheme. V. A second order sequel to Godunov’s method, Journal of Computational Physics, 32 (1) (1979) 101–136.

    Article  Google Scholar 

  22. W. Traupel, Die grundlagen der thermodynamik, G. Baun-Verlag Karlsruhe (1971).

    Google Scholar 

  23. F. Bakhtar, M. Ebrahimi and R. A. Webb, On the performance of a cascade of turbine rotor tip section blading in nucleating steam, Part 1: Surface pressure distributions, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 209 (2) (1995) 115–124.

    Google Scholar 

  24. R. Kiock, F. Lehthaus, N. C. Baines and C. H. Sieverding, The transonic flow through a plane turbine cascade as measured in four European wind tunnels, Journal of Engineering for Gas Turbines and Power, 108 (2) (1986) 277–284.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, P. Code 15875- 4413, Iran

    Hamed Bagheri-Esfe, Mohammad Jafar Kermani & Majid Saffar-Avval

Authors
  1. Hamed Bagheri-Esfe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammad Jafar Kermani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Majid Saffar-Avval
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Majid Saffar-Avval.

Additional information

Hamed Bagheri-Esfe is a Ph.D. candidate in mechanical engineering at the Amitkabir University of Technology. He completed his B.Sc. in Mechanical Engineering (Thermal-Fluid) from the Kashan University and his M.S. in mechanical engineering from Birjand University (1st in rank). For his Ph.D. program, he is working on effects of non-equilibrium condensation in steam turbines. His fields of interest include computational fluid dynamics, compressible flows and two-phase flows.

Mohammad Jafar Kermani is an Associate Professor at the Amirkabir University of Technology. He completed his BSc in Mechanical Engineering (Thermal- Fluid) from the Shiraz University (2nd in rank), his M.S. in Applied Mathematics from Manchester University (1st in rank), and his Ph.D. from Carleton University. Then, he pursued a two-year postdoctoral fellowship at the University of New Brunswick, Canada on steam turbines and proton exchange membrane fuel cells. He has written over 100 papers and has supervised more than 70 students.

Majid Saffar-Avval is a professor of mechanical engineering at the Amirkabir University of Technology (AUT), Tehran, Iran. He received his B.Sc. and M.Sc. degrees from Sharif University of Technology, and his Ph.D. degree from the Ecole Nationale des Arts et Metiers (ENSAM), Paris, France, in 1985. He has been teaching at the AUT since then. He was head of the Mechanical Engineering Department from June 2000 to June 2002 and head of the Energy and Control Center of Excellence from May 2007 to March 2012 at AUT. His research contributions are in the field of two-phase heat transfer, advanced thermal systems and energy management.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bagheri-Esfe, H., Kermani, M.J. & Saffar-Avval, M. Effects of non-equilibrium condensation on deviation angle and efficiency in a steam turbine stage. J Mech Sci Technol 30, 1351–1361 (2016). https://doi.org/10.1007/s12206-016-0242-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-016-0242-2

Keywords

Search

Navigation