Nonlinear analysis of cavity flows around arbitrarily shaped bluff bodies in a constrained flow

Abstract

This paper presents a new nonlinear analytical method based on the Fourier-series expansion for cavity flows, by which we can systematically deal with curved bodies of arbitrary shape. Furthermore, in the present study, the momentum defect within the cavity wake is reasonably well estimated by the displacement effect through the momentum theorem. For two-dimensional symmetric flows around various bluff bodies, theoretical predictions are shown quantitatively and compared with experi- mental data, wherever possible.