Effects of critical layer structure on the nonlinear evolution of waves in free shear layers

Details Effects of critical layer structure on the nonlinear evolution of waves in free shear layers Effects of critical layer structure on the nonlinear evolution of waves in free shear layers

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980rspsa.371..509h&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences, vol. 371, no. 1747, Aug. 4, 1980, p. 509-524

Physics

17

Free Flow, Incompressible Flow, Nonlinear Equations, Shear Layers, Two Dimensional Flow, Flow Stability, Fourier Transformation, Laminar Flow, Phase Shift, Reynolds Number, Spatial Distribution, Velocity Distribution

Scientific paper

A model is presented for the finite amplitude growth of weakly amplified waves on a two-dimensional parallel free shear layer at large Reynolds numbers. The main objective of the study is to assess the effect of changes in the critical layer structure as the disturbances grow in space or time. For the particular case of spatially varying waves, it is shown that the growth rate reaches a maximum after which, at large distances, it gradually decreases to zero and the wave amplitude only grows algebraically as the 2/3 power of the distance.

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