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Zur theorie rotierender und schwingender schaufelkränze in einer unterschallstromung durch einen ringkanal
Author(s) -
Buggle G.,
Meister E.
Publication year - 1982
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670040130
Subject(s) - mathematics , mathematical analysis , hilbert space , fourier transform , boundary value problem
In this paper the three‐dimensional perturbation flow induced by a rotating and oscillating blade row which operates in a subsonic flow in axial direction of an annular channel is studied. The velocity potential is reduced to the infinite Hilbert space vector of Fourier coefficients of an eigen‐function expansion with respect to vanishing normal derivatives on both cylinder walls. These coefficients satisfy an infinite set of ordinary differential equations of second order after an application of a one‐dimensional Fourier transform in axial direction. Several canonical two‐part mixed boundary value problems are then investigated by reduction to “infinite two‐by‐two‐Wiener‐Hopf functional systems”. In case of strong factorizability of certain matrix‐operator‐valued functions on the line these systems may be solved explicitely. Criteria for the factorization are not given here.