TRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES
Online ISSN : 2189-4205
Print ISSN : 0549-3811
ISSN-L : 0549-3811
Instability and Frequency Selection of the Wake behind a Flat Plate
Nobutake ITOHShohei TAKAGITomoaki IKEDA
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JOURNALS OPEN ACCESS

2012 Volume 55 Issue 6 Pages 356-363

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Abstract

The frequency of instability waves in a wake flow is uniquely determined by a logarithmic singularity of complex ray trajectories describing the propagation of a two-dimensional wave packet. Conditions for the singularity are given by simultaneous equations indicating that the group velocity and X-derivative of the complex dispersion relation for a given flow field are both equal to zero, where X is the downstream coordinate and the dispersion relation defines the complex frequency as a function of the complex wave number and X. Simple mathematical models are introduced to simulate spatial variations of the wake behind a moderately thin flat plate. Stability calculations of the model flow indicate that the logarithmic singularity is located in the vicinity of the real axis of the complex coordinate X.

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© 2012 The Japan Society for Aeronautical and Space Sciences
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