Vinod, N. ; Govindarajan, Rama (2012) Secondary instabilities in incompressible axisymmetric boundary layers: effect of transverse curvature Journal of Fluids Engineering, 134 (2). 024503_1-024503_4. ISSN 0098-2202
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Related URL: http://dx.doi.org/10.1115/1.4005767
Abstract
The secondary instability of the incompressible boundary layer in the axial flow past a cylinder is studied. The laminar flow is shown to be always stable at high transverse curvatures to secondary disturbances. Because the primary mode is stable as well, (Tutty et al., 2002, “Boundary Layer Flow on a Long Thin Cylinder,”. Phys. Fluids, 14(2), pp. 628–637), this implies that the boundary layer on a thin long cylinder may undergo transition to turbulence by means very different from that on a flat plate. The azimuthal wavenumber of the least stable secondary modes (m±) are related to that of the primary (n) by m+ = 2n and m− = −n. The base flow is shown to be inviscidly stable at any curvature.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Society of Mechanical Engineers. |
ID Code: | 95906 |
Deposited On: | 27 Nov 2012 10:05 |
Last Modified: | 27 Nov 2012 10:05 |
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