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Jacques C. J. NIHOUL

ON A PRINCIPLE OF «MINIMUM REYNOLDS NUMBER» AND THE MALKUS THEORY OF TURBULENT CHANNEL FLOW

(Volume 38 - Année 1969 — Numéro 3 - 4)
Article
Open Access

Abstract

The paper reexamines some aspects of channel flow stability and turbulence.  The approach followed draws its inspiration from the Liapounov stability concepts rather than the classical Orr-Sommerfeld perturbation technique and originates from Serrin's variational theorem of stability.  It leads to a principle of«minimum Reynolds number» with interesting applications to the study of stability, equilibrium flows and stationary turbulence, throwing some new light on the Malkus theory.

Pour citer cet article

Jacques C. J. NIHOUL, «ON A PRINCIPLE OF «MINIMUM REYNOLDS NUMBER» AND THE MALKUS THEORY OF TURBULENT CHANNEL FLOW», Bulletin de la Société Royale des Sciences de Liège [En ligne], Numéro 3 - 4, Volume 38 - Année 1969, 73 - 85 URL : http://popups.ulg.be/0037-9565/index.php?id=1225.

A propos de : Jacques C. J. NIHOUL

Institut de Mathématique, Université de Liège, Belgium