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Global stability analysis of an idealized compressor blade row. II. Multiple-blade interactions

Abstract:
A direct-adjoint mean flow global stability investigation of self-excited instabilities in an idealized, two-dimensional compressor blade row at off-design conditions is carried out. In this second part of the paper, the single-passage analysis is extended to multiblade passages by exploiting the properties of block-circulant matrices and Bloch-wave theory. By using this method, analyses for a large number of blade passages become computationally tangible, and the modal and nonmodal single-passage analysis from the first part of the paper can be augmented by considering multiblade effects arising in larger systems. This work shows that multiblade passages introduce additional unstable 10- and five-periodic synchronization structures arising from a tuned optimal phase relationship that is supported by the larger system. Self-excited low-frequency structures, which cannot be represented within a single-passage computation, are also uncovered and analyzed.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevFluids.8.103904

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review Fluids More from this journal
Volume:
8
Issue:
10
Article number:
103904
Publication date:
2023-10-11
Acceptance date:
2023-05-25
DOI:
EISSN:
2469-990X


Language:
English
Keywords:
Pubs id:
1561269
Local pid:
pubs:1561269
Deposit date:
2024-01-23

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