Abstract
The stability of unsteady rectilinear plane-parallel ideal fluid flow is solved by the modified Rayleigh method [1, 2]. The numerical results apply to the so-called “shear layers” that form in the boundary layer prior to breakdown. The corresponding amplification factors and the most hazardous wavenumbers are found. It is shown that an analog of the Squire theorem is valid for the shear layers. In justifying the crude approximation of the initial profile, the Rayleigh method yields the exact solution for the limiting problem. A strong contraction of the class of possible initial values is not essential for finding the critical characteristics.
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