Author:
Davey A.,Hocking L. M.,Stewartson K.
Abstract
The equations governing the nonlinear development of a centred three-dimensional disturbance to plane parallel flow at slightly supercritical Reynolds numbers are obtained, In contrast to the corresponding equation for two-dimensional disturbances, two slowly varying functions are needed to describe the development: the amplitude function and a function related to the secular pressure gradient produced by the disturbance. These two functions satisfy a pair of coupled partial differential equations. The equations derived in Hocking, Stewartson & Stuart (1972) are shown to be incorrect, Some of the properties of the governing equations are discussed briefly.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference12 articles.
1. Stewartson, K. B. Stuart, J. T. 1971 J. Fluid Mech. 48,529–545.
2. Hocking, L. M. 1974 Submitted for publication.
3. Stuart, J. T. 1958 J. Fluid Mech. 4,1–22.
4. Hocking, L. M. & Stewartson, K. 1971 Mathematiaka,18,219–239.
5. Davey, A. & Stewartson, K. 1974 Proc. Roy. Xoc. A To appear.
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