Abstract
The paper presents a numerical method, which simulates the circumferentially averaged steady flow of a compressible fluid in a multistage turbine. The method is considered in the analytic mode with known geometry. It is intended as a fast tool to turbine designers, which provides the distribution of the flow parameters in the meridional plane, gives the information about mass flow and estimates the efficiency of turbine. The method is based on the solution of the circumferentially averaged three-dimensional Euler equations complemented by the source terms related to the turbine geometry and to the loss prediction model. The meridional plane is discretized by a structured grid. Equations are solved by a finite volume method with the AUSM type numerical flux. Examples including the transonic flow in a turbine stator and in a stage are presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arts, T.: Calculation of the three-dimensional, steady, inviscid flow in a transonic axial turbine stage. J. Eng. Gas Turbines Power. 107(2), 286-292 (1985). doi:10.1115/1.3239713
Aungier, R.H.: Turbine Aerodynamics: Axial-Flow and Radial-Inflow Turbine Design and Analysis. ASME Press, New York (2006)
Fahua, G., Anderson, M.R.: Cfd-based throughflow solver in turbomachinery design systems, pp. 1259–1267, Paper No. GT2007-7389. doi: 10.1115/GT2007-27389
Leonard, O., Adam, O.: A quasi-one-dimensional cfd model for multistage turbomachines. Int. J. Therm. Sci. 17(1), 7–20 (2008)
Moffit, T.P., Szanca, E.M., Whitney, W.J., Behning, F.P.: Design and cold-air test of single uncooled core turbine with high work output. Technical Report NASA Technical paper 1680, Lewis Research Center, Cleveland (1980)
Simon, J.F., Leonard, O.: Modeling of 3-d losses and deviations in a throughflow analysis tool. Int. J. Therm. Sci. 16(3), 208–214 (2007)
Zhu, J., Sjolander, S.A.: Improved profile loss and deviation correlations for axial-turbine blade rows, pp. 783–792, Paper No. GT2005-69077. doi:10.1115/GT2005-69077
Acknowledgments
This work has been supported by the grant TACR TE01020020.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Fürst, J. et al. (2014). Numerical Simulation of Flow in a Meridional Plane of Multistage Turbine. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-05591-6_85
Download citation
DOI: https://doi.org/10.1007/978-3-319-05591-6_85
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05590-9
Online ISBN: 978-3-319-05591-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)