A friction factor bound for transitional pipe flow

DOI10.1063/1.1828103zbMath1187.76420OpenAlexW2091761994MaRDI QIDQ3554790

R. R. Kerswell, S. C. Plasting

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1828103

zbMATH Keywords

laminar flowfrictionpipe flowviscositynumerical analysisflow instabilityrotational flowpoiseuille flowsurface waves (fluid)

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (6)

Energy dissipation rate limits for flow through rough channels and tidal flow across topography ⋮ Stabilising pipe flow by a baffle designed using energy stability ⋮ Pressure-driven flows in helical pipes: bounds on flow rate and friction factor ⋮ Exhausting the background approach for bounding the heat transport in Rayleigh–Bénard convection ⋮ Algebraic growth in a Blasius boundary layer: Nonlinear optimal disturbances ⋮ Geometrical dependence of optimal bounds in Taylor–Couette flow

Cites Work

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• Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse
• Nonlinear spiral waves in rotating pipe flow
• Stability of Hagen-Poiseuille flow with superimposed rigid rotation
• New results in rotating Hagen–Poiseuille flow
• Pipe flow measurements over a wide range of Reynolds numbers using liquid helium and various gases
• Improved upper bound on the energy dissipation rate in plane Couette flow: the full solution to Busse's problem and the Constantin–Doering–Hopf problem with one-dimensional background field
• Exact coherent structures in pipe flow: travelling wave solutions
• Friction factors for smooth pipe flow
• Stable Set Polytopes for a Class of Circulant Graphs
• Stability of Poiseuille flow in pipes, annuli, and channels

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