Abstract
In Chapter 4, we briefly described a simple radial equilibrium condition necessary to determine the radial distribution of the stage parameters such as, ф, λ, r, αi, and βi. Assuming an axisymmetric flow with constant meridional velocity and total pressure distributions, we arrived at free vortex flow as a simple radial equilibrium condition with rv u = Const. In practice, from an aerodynamics design point of view, a constant meridional velocity component or constant total pressure may not be desirable. As an example, consider the flow field close to the hub or tip of a stage where secondary flow vortices predominate.
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
Preview
Unable to display preview. Download preview PDF.
References
1. Wu, Chung-Hua, 1952, “A general Theory of Three-Dimensional Flow in Subsonic and Supersonic Turbomachines of Axial-, Radial, and mixed-Flow Types,” NACA technical Note 2604, Washington, D.C., January 1952.
2. Lakshminarayana, B., 1996, “Fluid Dynamics and Heat Transfer of Turbomachinery,” John Wiley & Sons.
3. Vavra, M.H., 1960, “Aero-Thermodynamics and Flow in Turbomachines,” John Wiley & Sons, Inc.
4. Schobeiri, M.T., 2012 “Turbomchinery Flow Physics and Dynamic Performance, Second Edition, Springer-Verlag.
5. Novak, R.A., and Hearsey, R.M., “A Nearly Three Dimensional Intra blade Computing System for Turbomachinery, Part I & II,” Journal of Fluid Engineering, Vol 99, pp. 154-166.
6. Wilkinson, D.H., 1972, “Calculation of Blade-to-Blade Flow in Turbomachine by Streamline Curvature,” British ARC R&M 3704.
7. Wennerstrom, A.J., 1974, “On the Treatment of body Forces in the radial Equilibrium Equation of Turbomachinery,” Traupel-Festschrift, Juris-Verlag, Zürich.
8. Hearsey, R.M., 2003, “Computer Program HT 0300 version 2.0,” Hearsey technology, Bellevue, Washington.
9. Horlock, J.H., 1971, “On Entropy Production in Adiabatic Flow in Turbomachines,” ASME Journal of Basic Engineering, pp. 587-593.
10. Wilkinson, D.H., 1969, Stability, Convergence and Accuracy of 2-Dimensional Streamline Curvature Methods Using Quasi-Orthogonals, Proceedings of the Institution of Mechanical Engineers, Volume 184, 1979-1970.
11. Adkins, G.G., Smith L.H., 1982, “Spanwise Mixing in Axial-Flow Turbomachines,” ASME Journal of Engineering for Gas Turbines and Power, Vol. 104, pp. 97-110.
12. Gallimore, S.J., 1986, “Spanwise mixing in Multistage Axial Flow Compressors: Part II – Throughflow Calculations Including Mixing,” ASME Journal of Turbomachinery, Vol. 108, pp. 10-16.
13. Smith, L.H. Jr., 1966, “The Radial-Equilibrium Equation of Turbomachinery,” ASME Journal of Engineering for Power, January, 1966, pp. 1-12.
14. Schobeiri, M.T., Gilarranz, J., and Johansen, E., “Final Report on: Efficiency, Performance, and Interstage Flow Field Measurement of Siemens-Westinghouse HP-Turbine Blade Series 9600 and 5600,” September, 1999.
15. Schobeiri M.T., Gillaranz, J.L., and Johansen E.S., 2000, “Aerodynamic and Performance Studies of a Three Stage High Pressure Research Turbine with 3-D Blades, Design Point and Off-Design Experimental Investigations,” Proceedings of ASME Turbo Expo 2000, 2000-GT-484.
16. Schobeiri, M.T., Suryanaryanan, A., Jerman, C., and Neuenschwander, T., 2004, “A Comparative Aerodynamic and performance study of a three-stage high pressure turbine with 3-D bowed blades and cylindrical blades,” Proceedings of ASME Turbo Expo 2004 Power of Land Air and Sea, June 14 - 17, 2004, Vienna, Austria, paper GT2004-53650.
17. Treiber, M., Abhari, R.S., and Sell, M., 2002, “Flow Physics and Vortex Evolution in Annular Turbine Cascades,” ASME, GT-2002-30540, Proceedings of ASME TURBO EXPO 2002, June 3-6, 2002, Amsterdam, The Netherlands.
18. Rosic, B. and Xu, L., 2008, “ Blade Lean and Shroud Leakage Flows in Low Aspect Ratio Turbines,” Proceedings of ASME Turbo Expo 2008: Power for Land, Sea and Air, June 9-13, 2008, Berlin, Germany, GT2008-50565
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Schobeiri, M.T. (2018). Radial Equilibrium. In: Gas Turbine Design, Components and System Design Integration. Springer, Cham. https://doi.org/10.1007/978-3-319-58378-5_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-58378-5_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-58376-1
Online ISBN: 978-3-319-58378-5
eBook Packages: EngineeringEngineering (R0)