A new method for solving aerodynamic hybrid problem of profile cascade on \(S_ 1\) stream surface of revolution by employing stream-function equation expressed with non-orthogonal co-ordinate system. (English) Zbl 0591.76091
Summary: A new method is developed in this paper for solving an aerodynamic hybrid problem of profile cascade on the \(S_ 1\) stream surface of revolution by employing a stream-function equation on the non-orthogonal co-ordinate system. For this kind of problem, the shape of a portion of the blade profile is unknown. The remainder is determined by a given prescribed velocity distribution. Three examples, including two turbine cascades and a compressor cascade, have been carried out to examine this method. It is shown that the calculation method presented herein can be used as a powerful tool, together with the aerodynamic optimization method, for blade cascade design.
MSC:
| 76G25 | General aerodynamics and subsonic flows |
| 76N15 | Gas dynamics (general theory) |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
perfect gas; aerodynamic hybrid problem; profile cascade; stream surface of revolution; stream-function equation; non-orthogonal co-ordinate system; blade profile; velocity distribution; two turbine cascades; compressor cascade; aerodynamic optimization methodReferences:
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