On numerical investigation of the nonmodal instability of the Poiseuille flow in an elliptic pipe

For the Poiseuille flow in a pipe of axially uniform elliptic cross-section the dependence of the maximum amplification of the average kinetic energy density of disturbances on the pipe aspect ratio is computed. It is shown, that for the considered values of streamwise wavenumber and the Reynolds nu...

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Hauptverfasser: Klyushnev, N. V., Demyanko, K. V.
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description For the Poiseuille flow in a pipe of axially uniform elliptic cross-section the dependence of the maximum amplification of the average kinetic energy density of disturbances on the pipe aspect ratio is computed. It is shown, that for the considered values of streamwise wavenumber and the Reynolds number the maximum amplification decreases non-monotonically as the pipe aspect ratio increases under scaling providing the same flow rates at the same Reynolds numbers. It is also shown, that the optimal disturbances displaying the maximum energy growth are streamwise vortices.
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source AIP Journals
subjects Amplification
Aspect ratio
Disturbances
Flow stability
Flow velocity
Fluid flow
Kinetic energy
Laminar flow
Pipes
Reynolds number
Wavelengths
title On numerical investigation of the nonmodal instability of the Poiseuille flow in an elliptic pipe
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