Abstract
An integral theory is developed for studying the instability of laminar compressible wakes behind slender bodies. The mean flow is assumed to be characterized by a few shape parameters and a Gaussian distribution. Distribution of the fluctuations across the wake is obtained as a function of these mean flow parameters by solving the inviscid linearized fluctuation equations using the local mean flow. The fluctuation field is coupled with the mean flow through the Reynolds stress term, and the variation of the fluctuation amplitude is then obtained, together with the mean flow parameters, by solving the integral conservation equations. Both axisymmetric and planar bodies are considered, and favorable comparison with available two-dimensional experimental results is indicated.
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