The Influence Of Longitudinal Wall-oscillation
On The Plane Poiseuille Flow
Author(s)
T. Atobe
Abstract
Influence of wall oscillation on laminar-turbulent transition of the plane
Poiseuille flow is investigated analytically and numerically. For the analytical
approach, the Floquet theory using a time-dependent Orr-Sommerfeld equation
is employed to estimate the fundamental aspect of this flow. The velocity
profiles for the analysis are assumed as the superposition of the plane Poiseuille
flow and the Stokes layer. Also the collocation method is used in the wallnormal
direction for making the monodromy matrix. Depending on the
parameters, namely frequencyΩand amplitude Uw of the wall-oscillation, there
is the stable region inΩ-Uw plane even though the Reynolds number is of
supercritical. Direct numerical simulation (DNS) based on the Fourier spectral
method is also employed to confirm the analytical results and to clear the flow
structures. The results by DNS show good agreement with the Floquet analysis
and also reveal that the vortex structures in the vicinity of the walls are strongly
affected by the wall oscillation.
Keywords: plane Poiseuille flow, wall oscillation, Floquet analysis, DNS.
Keywords
plane Poiseuille flow, wall oscillation, Floquet analysis, DNS.
Related Book
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