Article ID Journal Published Year Pages File Type
9503273 Journal of Mathematical Analysis and Applications 2005 14 Pages PDF
Abstract
We present a generalized energy functional E for plane parallel shear flows which provides conditional nonlinear stability for Reynolds numbers Re below some value ReE depending on the shear profile. In the case of the experimentally important profiles, viz. combinations of laminar Couette and Poiseuille flow, ReE is shown to be at least 174.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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