You are here: MIMS > EPrints
MIMS EPrints

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

Full text available as:

PDF - Archive staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
178 Kb

DOI: 10.1111/1467-9590.00173

Abstract

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.

Item Type:Article
Subjects:MSC 2000 > 76 Fluid mechanics
MIMS number:2006.262
Deposited By:Miss Louise Stait
Deposited On:09 August 2006

Download Statistics: last 4 weeks
Repository Staff Only: edit this item