1963•Journal of Fluid MechanicsRequires access

On the stability of viscous plane Couette flow

J. W. Deardorff

Abstract

The problem of the stability of plane Couette flow to infinitesimal disturbances is carried numerically to larger Reynolds numbers than heretofore. The flow is definitely stable up to R = 1430, although at Reynolds numbers in this vicinity plane Couette flow has been observed experimentally to be turbulent. Observations on boundary-layer instability suggest this to be the source of turbulence in plane Couette flow channels.

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Key concepts: Couette flow, Taylor–Couette flow, Turbulence, Mechanics, Reynolds number, Plane (geometry), Flow (mathematics), Physics