Abstract
AbstractIn 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.
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