Kerswell, RR

Plasting, SC

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--&gt;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.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--&gt;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

A friction factor bound for transitional pipe flow

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