Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503273 | Journal of Mathematical Analysis and Applications | 2005 | 14 Pages |
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
R. Kaiser, G. Mulone,