Abstract
We consider circular Rayleigh problem which is incompressible, inviscid axial flows to axisymmetric disturbances. For this problem, we derived unbounded parabolic instability region which intersects with Batchelor and Gill semicircle instability region under certain condition. This has been illustrated with examples. Furthermore, we obtained supremum bound for the growth rate of an unstable mode, amplification factor.
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Chandrashekhar, G., Ganesh, V. & Venkatalaxmi, A. Bounds on the eigenvalues for the circular Rayleigh problem of hydrodynamic stability. Proc Math Sci 134, 1 (2024). https://doi.org/10.1007/s12044-023-00771-1
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DOI: https://doi.org/10.1007/s12044-023-00771-1