A friction factor bound for transitional pipe flow

SC Plasting, RR Kerswell

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)


An upper bound lambda(max) on the friction factor lambda is found for transitional pipe flow up to Reynolds numbers of Re=4000. This bound corresponds to the laminar Hagen-Poiseuille value until the energy stability point of Re=81.52 (where lambda(max)=0.7851) after which it decreases monotonically to approach a viscosity-independent asymptote of 0.27+/-0.01 as Re-->infinity. Comparison is made with the friction factors associated with recently discovered, finite-amplitude traveling waves in rotating and nonrotating pipe flow as well as experimental data. (C) 2005 American Institute of Physics.
Translated title of the contributionA friction factor bound for transitional pipe flow
Original languageEnglish
Article numberArt. No. 011706
Pages (from-to)011706
Number of pages4
JournalPhysics of Fluids
Volume17 (1)
Publication statusPublished - Jan 2005

Bibliographical note

Publisher: Amer Inst Physics


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