dorsal/arxiv
View SchemaLinear and Secondary Instabilities in Incompressible Axisymmetric Boundary Layers: Effect of Transverse Curvature
| Authors | N. Vinod, Rama Govindarajan |
|---|---|
| Categories | |
| ArXiv ID | physics/0611223 |
| URL | https://arxiv.org/abs/physics/0611223 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The incompressible boundary layer in the axial flow past a cylinder has been shown Tutty et. al.(\cite{tutty}) to be stabler than a two-dimensional boundary layer, with the helical mode being the least stable. In this paper the secondary instability of this flow is studied. The laminar flow is shown here to be always stable at high transverse curvatures to secondary disturbances, which, together with a similar observation for the linear modes implies that the flow past a thin cylinder is likely to remain laminar. The azimuthal wavenumber of the pair of least stable secondary modes ($m_+$ and $m_-$) 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.
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"abstract": "The incompressible boundary layer in the axial flow past a cylinder has been\nshown Tutty et. al.(\\cite{tutty}) to be stabler than a two-dimensional boundary\nlayer, with the helical mode being the least stable. In this paper the\nsecondary instability of this flow is studied. The laminar flow is shown here\nto be always stable at high transverse curvatures to secondary disturbances,\nwhich, together with a similar observation for the linear modes implies that\nthe flow past a thin cylinder is likely to remain laminar. The azimuthal\nwavenumber of the pair of least stable secondary modes ($m_+$ and $m_-$) are\nrelated to that of the primary ($n$) by $m_+=2n$ and $m_-=-n$. The base flow is\nshown to be inviscidly stable at any curvature.",
"arxiv_id": "physics/0611223",
"authors": [
"N. Vinod",
"Rama Govindarajan"
],
"categories": [
"physics.flu-dyn"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Linear and Secondary Instabilities in Incompressible Axisymmetric Boundary Layers: Effect of Transverse Curvature",
"url": "https://arxiv.org/abs/physics/0611223"
},
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