A Variational Formulation of the Compressible Throughflow Problem
Final rept. Mar 1973-Apr 1974
WASHINGTON UNIV SEATTLE AEROSPACE RESEARCH LAB
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A variational formulation of the compressible throughflow flow problem is developed. The method is suitable for the calculation of throughflow fields in which large rotational effects, large compressibility effects and large variations in hub and tip radii may exist. The formulation requires the absence of viscous forces between blade rows, though the effects of losses within the blade rows may be included through the variation of entropy across streamsurfaces. The meridional Mach number is restricted to be less than unity, though the complete flow Mach number may be much in excess of unity. The variational formulation represents a complete statement of the problem in that the boundary conditions, far upstream and far downstream conditions, and matching conditions at all actuator discs are all natural conditions of the variational formulation.
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