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Onset of shear layer instability in flow past a cylinder
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10.1063/1.2909587
/content/aip/journal/pof2/20/5/10.1063/1.2909587
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/5/10.1063/1.2909587
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Flow past a circular cylinder: Schematic of the computational domain and the boundary conditions.

Image of FIG. 2.
FIG. 2.

flow past half a cylinder: Vorticity field for the steady state solution along with the streamlines in the recirculation region (top). The remaining panels show the vorticity field for the real part of the most unstable eigenmode for various values of . The shading represents magnitude of vorticity. Darker shades refer to larger values. Black colored contour lines represent negative, while the white colored lines show positive values.

Image of FIG. 3.
FIG. 3.

Linear stability analysis for flow past half a circular cylinder: Real part of the rightmost eigenvalue for various speeds of the perturbation.

Image of FIG. 4.
FIG. 4.

Direct time integration of the linearized disturbance equations for flow past a cylinder at : Time evolution of the normalized energy and vorticity field of the disturbance. The initial disturbance for the simulations is along the wake centerline at .

Image of FIG. 5.
FIG. 5.

Direct time integration of the linearized disturbance equations for flow past a cylinder at and 54: Time evolution of the normalized energy. The initial disturbance for the simulations is the most unstable eigenmode determined from global linear stability analysis at each Re. Also shown is the vorticity field for the real part of the most unstable eigenmode for , .

Image of FIG. 6.
FIG. 6.

flow past a full cylinder: Vorticity fields for (a) the steady flow, (b) the shear layer mode at , and (c) the wake mode at .

Image of FIG. 7.
FIG. 7.

time-averaged flow past a cylinder: Vorticity field for the time-averaged flow along with the streamlines in the recirculation region (top). The remaining panels show the vorticity field for the real part of the most unstable eigenmode for various values of for LSA of half the domain.

Image of FIG. 8.
FIG. 8.

Linear stability analysis of flow past half a cylinder: Variation of the growth rate of the most unstable eigenmode with , speed of the disturbance, for the time-averaged and steady flow.

Image of FIG. 9.
FIG. 9.

Flow past half a cylinder with unsteady inflow: Instantaneous vorticity (left) and the disturbance (right) fields for various Re. The amplitude of unsteadiness at the inflow is 1% of the mean and the nondimensional frequency, normalized with mean speed and cylinder diameter is 0.20. The range specified for showing the vorticity field for all Re is . For the disturbance field, it is for , for , for , and for .

Image of FIG. 10.
FIG. 10.

flow past half cylinder: Vorticity fields for the steady flow along with streamlines in the recirculation region and the shear layer mode at .

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/content/aip/journal/pof2/20/5/10.1063/1.2909587
2008-05-12
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Onset of shear layer instability in flow past a cylinder
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/5/10.1063/1.2909587
10.1063/1.2909587
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