Secondary Instabilities in Incompressible Axisymmetric Boundary Layers: Effect of Transverse Curvature

Author:

Vinod N.1,Govindarajan Rama2

Affiliation:

1. Department of Mechanical Engineering, Indian Institute of Technology, Gandhinagar, Chandkheda, Ahmedabad 382 424, India

2. Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research,Jakkur, Bangalore 560 064, India

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.

Publisher

ASME International

Subject

Mechanical Engineering

Reference6 articles.

1. Boundary Layer Flow on a Long Thin Cylinder;Tutty;Phys. Fluids

2. Rao, G. N. V. , 1967, “Effects of Convex Transverse Surface Curvature on Transition and Other Properties of the Incompressible Boundary Layer,” Ph.D. thesis, Department of Aerospace Engineering, Indian Institute of Science.

3. Flow Along a Long Thin Cylinder;Tutty;J. Fluid Mech.

4. The Three-Dimensional Nature of Boundary Layer Instability;Klebanoff;J. Fluid. Mech.

5. Physical Mechanisms of Laminar-Boundary Layer Transition;Kachanov;Annu. Rev. Fluid Mech.

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