Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/16956
Title: On the effects of suction and injection on the absolute instability of the rotating-disk boundary layer
Authors: Lingwood, RJ
Keywords: Boundary layer flow;Mass diffusion
Issue Date: 1998
Publisher: AIP Publishing
Citation: Physics of Fluids, 1998, 9 (5), pp. 1317 - 1328
Abstract: In this paper we are concerned with the theoretical behavior of the laminar von Kármán boundary-layer flow, extending the work presented by Lingwood [J. Fluid Mech. 299, 17 (1995); 314, 373 (1996)] to the flow with mass transfer at the surface of the disk. It is known that, within specific regions of the parameter space, the flow is absolutely unstable in the radial direction, i.e. disturbances grow in time at every radial location within these regions. Uniform suction through the disk is shown to delay the onset of absolute instability, while uniform injection promotes the onset. By comparing suction and injection velocities of the same magnitude, it is shown that suction has a greater stabilizing effect on the absolute instability than the destabilizing effect of injection. Suction is also strongly stabilizing to both stationary and travelling inviscidly unstable branch-1 modes; injection is destabilizing. Stationary viscously unstable branch-2 modes are strongly stabilized and destabilized by suction and injection, respectively, but travelling branch-2 modes are shown to be much less sensitive to mass transfer through the disk.
URI: http://bura.brunel.ac.uk/handle/2438/16956
DOI: http://dx.doi.org/10.1063/1.869246
ISSN: 1070-6631
Appears in Collections:Dept of Mechanical Aerospace and Civil Engineering Research Papers

Files in This Item:
File Description SizeFormat 
FullText.pdf492.33 kBAdobe PDFView/Open


Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.