On the nonlinear theory of stability of plane Poiseuille flow in the subcritical range
- 8 June 1982
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 381 (1781) , 407-418
- https://doi.org/10.1098/rspa.1982.0080
Abstract
A new approach is proposed in the application of the weakly nonlinear theory, initiated by J. T. Stuart, to the problem of stability of plane Poiseuille flow in the subcritical range. Some results of computation are presented. The calculated threshold amplitudes for Reynolds numberR= 5000 and 4000 with different frequencies are compared with Nishioka’s experimental observations. The results are encouraging.This publication has 3 references indexed in Scilit:
- Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbancesJournal of Fluid Mechanics, 1977
- An experimental investigation of the stability of plane Poiseuille flowJournal of Fluid Mechanics, 1975
- Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curveJournal of Fluid Mechanics, 1967