On the effects of boundary-layer growth on flow stability
- 21 October 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 66 (3), 465-480
- https://doi.org/10.1017/s0022112074000310
Abstract
The stability of small travelling-wave disturbances in the flow over a flat plate is discussed. An iterative method is used to generate an asymptotic series solution in inverse powers of the Reynolds number Rx = Ux/v to the power one half. The neutral-stability boundaries given by the first two terms of this series are obtained and compared with experimental data. It is shown that the parallel flow approximation leads to a valid solution at very large Reynolds numbers.This publication has 3 references indexed in Scilit:
- Non-parallel flow corrections for the stability of shear flowsJournal of Fluid Mechanics, 1973
- The role of spatially growing waves in the theory of hydrodynamic stabilityProgress in Aerospace Sciences, 1965
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flowJournal of Fluid Mechanics, 1960