Integral Balances in Turbomachinery

  • Meinhard T. Schobeiri


In the following sections, we summarize the conservation laws in integral form essential for applying to the turbomachinery flow situations. Using the Reynolds transport theorem explained in Chapter 2, we start with the continuity equation, which will be followed by the equation of linear momentum, angular momentum, and the energy. Vavra [1] utilized an alternative approach by directly integrating the differential balances. Both approaches are valid and lead to the same results.


Mach Number Pressure Ratio Wedge Angle Oblique Shock Normal Shock 
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  1. 1.
    Vavra, M.H.: Aero-Thermodynamics and Flow in Turbomachines. John Wiley, Chichester (1960)Google Scholar
  2. 2.
    Spurk, J.: Fluid mechanics. Springer, New York (1997)Google Scholar
  3. 3.
    Prandtl, L., Oswatisch, K., Wiegarhd, K.: Führer durch die Strömunglehre, 8th edn. Vieweg Verlag, Braunschweig (1984)Google Scholar
  4. 4.
    Shapiro, A.H.: The Dynamics and Thermodynamics of Compressible Fluid Flow, vol. I. Ronald Press Company, New York (1954)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringTexas A&M UniversityCollege StationUSA

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