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Conditions along the boundaries of bladed zones within the flow tracts of turbines
Author(s) -
Lurie K. A.,
Fedorov A. V.,
Klimovich V. I.
Publication year - 1982
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.1650020307
Subject(s) - gas compressor , flow (mathematics) , leading edge , projection (relational algebra) , mathematics , azimuth , boundary value problem , geometry , geology , mechanics , mathematical analysis , physics , engineering , algorithm , mechanical engineering
Hamilton's variational principle is applied to derive a system of conditions which expresses the balance of momentum and energy of an ideal gas across the selvadges The reviewer of this paper confesses to be unfamiliar with the term 'selvadge(s)' which appears frequently herein. Clearly, however, it (variously) means 'boundary', 'edge', 'projection of edge line' (meridional or axial), 'locus of leading edges', etc. of bladed zones within the flow tracts of turbines. This system provides the background for a correct formulation of optimal design problems for turbines and compressors. The exposition follows the model of a large number of blades when the basic equations can be averaged over the azimuthal co‐ordinate. An analysis is given of the obtained conditions and a computational algorithm described.