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A finite element solution of unsteady two‐dimensional flow in cascades
Author(s) -
Whitehead D. S.
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650100103
Subject(s) - transonic , flutter , finite element method , supersonic speed , flow (mathematics) , airfoil , gas compressor , turbine blade , computer program , axial compressor , mechanics , computational fluid dynamics , turbine , choked flow , mesh generation , engineering , mechanical engineering , structural engineering , computer science , physics , aerodynamics , operating system
A theory is presented for unsteady two‐dimensional potential transonic flow in cascades of compressor and turbine blades using a mesh of triangular finite elements. The theory leads to a computer program, FINSUP, which is fast and has moderate storage requirements, so that it can be run on a personal computer. Comparisons with other theories in special cases show that the program is accurate in subsonic flow, and that in supersonic flow, although the wave effects are smeared by the numerical process, the results for overall blade force and moment have acceptable accuracy. The program is useful for engineering assessment of unstalled flutter of actual compressor and turbine blades.