Bulletin de la Société Royale des Sciences de Liège

0037-9565 1783-5720

 

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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)
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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.

Om dit artikel te citeren:

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 : https://popups.uliege.be/0037-9565/index.php?id=1225.

Over : Jacques C. J. NIHOUL

Institut de Mathématique, Université de Liège, Belgium