Resolvent bounds for pipe Poiseuille flow
2006 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 568, 451-471 p.Article in journal (Refereed) Published
We derive an analytical bound on the resolvent of pipe Poiseuille flow in large parts of the unstable half-plane. We also consider the linearized equations, Fourier transformed in axial and azimuthal directions. For certain combinations of the wavenumbers and the Reynolds number, we derive an analytical bound on the resolvent of the Fourier transformed problem. In particular, this bound is valid for the perturbation which numerical computations indicate to be the perturbation that gives the largest transient growth. Our bound has the same dependence on the Reynolds number as given by the computations.
Place, publisher, year, edition, pages
2006. Vol. 568, 451-471 p.
CHANNEL FLOWS; STABILITY; TRANSITION; GROWTH
Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:kth:diva-7075DOI: 10.1017/S0022112006002618ISI: 000242566600020ScopusID: 2-s2.0-33750981817OAI: oai:DiVA.org:kth-7075DiVA: diva2:11978
QC 201008252007-05-112007-05-112010-08-25Bibliographically approved