A study on stability and incipient turbulence in poiseuille and plane-poiseuille flow by numerical finite-difference simulation

✍ Scribed by T. N. Dixon; J. D. Hellums

• Publisher: American Institute of Chemical Engineers
• Year: 1967
• Tongue: English
• Weight: 724 KB
• Volume: 13
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690130511

✦ Synopsis

4 difference method for treating the complete two-dimensional Navier-Stokes equations in time-dependent form is applied to the prediction of incipient turbulence. A steady laminar flow profile is disturbed and the propagation of disturbances in time and space is calculated. Changes occur in amplitude and in character much as would be observed in o laboratory experiment. The classical paradox of stability of Poi,seuille flow to low omplitude disturbances a t all Reynolds numbers is studied and contrasted to plane-Poiseuille flow. The amplitude dependence of stability is demonstrated. The results are shown to be consistent with prior theoretical and experimental work. The work lends strong support to the difference approach to difficult stability problems.