When calculating the flow through turbomachines by an iterative procedure, it is assumed that on each cycle of iteration there is only one solution for the flow pattern. The uniqueness of the solution obtained by the method of streamline curvature is examined and a set of Mach number conditions are derived which are sufficient to ensure that the flow pattern is unique. The Mach number limitations are the same as those which are necessary to avoid ambiguity in the matrix through-flow analysis. An alternative procedure is then described in which the solution for the flow pattern is always unique.
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References
1.
SmithL. H.‘The radial equilibrium equation of turbo-machinery’, Trans. Am. Soc. mech. Engrs196688, (No. Series A), 1.
2.
SylvesterM. E.HetheringtonR.Numerical analysis—an introduction (Ed. WalshI.) 1966, 182 (Academic Press, New York and London).
3.
MarshH.‘A digital computer program for the through-flow fluid mechanics in an arbitrary turbo machine using a matrix method’, Aeronaut. Res. Counc. Rep. Memo. 3509, 1968.
4.
MarshH.‘The through-flow analysis of axial flow compressors’, AGARD LS 39, Advanced Compressors, 1970.
5.
DaneshyarH.‘The off-design analysis of flow in axial compressors’, Cambridge University Engineering Department Report, CUED/A—Turbo/TR 19, 1970.
6.
GelderD. Private communication, 1969.
7.
SmithD. J. L.‘Computer solutions of Wu's equations for the compressible flow through turbomachines’, Int. Symp. Fluid Mech. Turbomach.1970 (Pennsylvania State University).
