Conservation Equations in the Relative Coordinate System

  • Nikolay Ivanov KolevEmail author


For application of the theory of multiphase flows in turbo-machinery, it is necessary to transfer the conservation equations in steady rotating coordinate systems. This is the subject of this chapter. The chapter will provide several practical simplifications that are useful for applications in describing processes in turbines, compressors, pumps, and other rotating hydraulic machines.


Conservation Equation Mass Conservation Equation Turbine Stage Pressure Loss Coefficient Entropy Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Dixon, S.L.: Fluid mechanics, thermodynamics of Turbomachinery. Butterworth-Heinemann, Oxford (1998)Google Scholar
  2. Hawthorne, W.R.: Thermodynamics of cooled turbines, Part I - The turbine stage. Trans. ASME 78, 1765 (1956); Part II- The multi-stage turbine, Trans. ASME 78, 1781Google Scholar
  3. Horlock, J.H.: Axial flow turbines. Fluid mechanics and thermodynamics. Butterworth (1966)Google Scholar
  4. Howell, A.R.: Fluid dynamics of axial compressors. Proc. Inst. Mech. Engrs., 153 (1945)Google Scholar
  5. Kolev, N.I.: Multiphase flow dynamics. Fundamentals, vol. 1. Springer (2011)Google Scholar
  6. Kolev, N.I.: Multiphase flow dynamics. Turbulence, etc., vol. 4. Springer (2011)Google Scholar
  7. Kolev, N.I.: Multiphase flow dynamics, 2nd edn. Thermal hydraulics, vol. 5. Springer (2011)Google Scholar
  8. Leonard, O., Adam, O.: A quasi-one dimensional CFD model for multiphase turbomashines. Journal of Thermal Science 17(1) (2008)Google Scholar
  9. Lewis, R.I.: Turbo-machinery performance analysis. Elsevier Science & Technology Books (May 1996) ISBN: 0340631910Google Scholar
  10. Novak, R.A.: Flow field and performance map computation for axial-flow compressors and turbines, pp. 5-1–5-27 (1980), Fishbach, L.H.: Computer simulation of engine systems. NASA Technical Memorandum 79290 (January 14-16, 1980)Google Scholar
  11. Soderberg, C.R.: Unpublished notes, Gas Turbine Laboratory, M.I.T. (see Horlock, 1966) (1949) Google Scholar
  12. Schobeiri, M.: Turbomachinery Flow Physics and Dynamic Performance, p. 153. Springer (2005)Google Scholar
  13. Thomas, G.B., Finney, R.L.: Calculus and analytic geometry, 9th edn. Addison-Wesley Publishing Company (1998)Google Scholar
  14. Vavra, M.H.: Aero-thermodynamics and flow in turbines. J. Wiley and Sons, Inc., New York (1960)Google Scholar
  15. Vavra, M.H.: Aero-thermodynamics and flow in turbomashines. Robert E. Krieger Publishing Company Huntington, New York (1974)Google Scholar
  16. Von der Nuell, W.T.: The radial turbine, Air technical data digest. U. S. Air Force 12(5), 5 (1947)Google Scholar
  17. Wulff, W., Cheng, H.S., Lekach, S.V., Mallen, A.N.: The BWR plant analyzer, NUREG/CR-3943, BNL-NUREG-51812, New York (August 1984)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.MöhrendorferstrHerzogenaurachGermany

Personalised recommendations