Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere (Q2702858)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere |
scientific article |
Statements
Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere (English)
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11 January 2002
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wake after sphere
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Navier-Stokes equations
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transition to turbulence
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nonlinear dynamical system theory
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linear stability analysis
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spectral method
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azimuthal expansion
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azimuthal modes
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nonlinear instability modes
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bifid wake
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From the view point of nonlinear dynamical system theory the paper investigates the instabilities at the first stage of transition to turbulence in the wake flow after a sphere. The linear stability analysis and the full Navier-Stokes simulation based on a spectral method and on an azimuthal expansion are used to determine the primary instability threshold as well as the threshold of a secondary (Hopf-type) instability. The computed azimuthal modes (corresponding to the nonlinear instability modes) are used to explain the occurence of the bifid wake.
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