2006.262: An analytic approach for calculating absolutely unstable inviscid modes of the boundary layer on a rotating disk
2006.262: M. Turkyilmazoglu and S. J. B. Gajjar (2001) An analytic approach for calculating absolutely unstable inviscid modes of the boundary layer on a rotating disk. Studies in Applied Mathematics, 106 (4). pp. 419-435. ISSN 0022-2526
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An analytical treatment of inviscidly absolutely unstable modes is pursued using the long-wavelength asymptotic approach. It is shown using the inviscid Rayleigh scalings in conjunction with the linear critical layer theory that the rotating-disk boundary layer flow undergoes a region of absolute instability for some small azimuthal wave numbers. The analytically calculated branch points for the absolute instability are found to be in good agreement with those obtained via a numerical solution of the inviscid Rayleigh equation.
|Subjects:||MSC 2000 > 76 Fluid mechanics|
|Deposited By:||Miss Louise Stait|
|Deposited On:||09 August 2006|