Secondary Instabilities in Incompressible Axisymmetric Boundary Layers: Effect of Transverse Curvature
Secondary Instabilities in Incompressible Axisymmetric Boundary Layers: Effect of Transverse Curvature
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不可压缩轴对称边界层中的二次不稳定性：横向曲率的影响
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
R. Govindarajan
中科院分区：
文献类型：
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作者：
N. Vinod;R. Govindarajan
研究了圆柱轴向流动中不可压缩边界层的二次失稳问题。层流在高横向曲率处对二次扰动始终保持稳定。因为主模态也是稳定的，（Tutty et al., 2002，“边界层在细长圆柱体上的流动”）。理论物理。流体，14(2),pp. 628 - 637)，这意味着薄长圆柱体上的边界层可以通过与平板上的边界层非常不同的方式过渡到湍流。最不稳定的二次模态（m6）的方位角波数与主模态(n)的方位角波数之间的关系为m¼2n和m¼n.基流在任何曲率下都是非粘性稳定的。(DOI: 10.1115/1.4005767)
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 (m6) are related to that of the primary (n) by mþ ¼2n and m� ¼� n. The base flow is shown to be inviscidly stable at any curvature. [DOI: 10.1115/1.4005767]