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4 - Spatial Stability of Incompressible Flows
W. O. Criminale, University of Washington, T. L. Jackson, University of Florida, R. D. Joslin
Book: Theory and Computation in Hydrodynamic Stability
Published online: 22 November 2018
Print publication: 06 December 2018, pp 98-127
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Summary

Chapter 4 addresses the important topic of spatial instability for spatially evolving flows, such as shear layers, jets and wakes. The chapter starts out with a derivation of Gaster’s transformation that allows spatial growth rates to be computed from temporal growth rates. The chapter also presents a dicussion of absolute and convective instabilites, and of wavepackets. It concludes with a discussion of dicrete and continuous spectra.