### Abstract

Flow-resistance laws-as used, for example, in water-supply pipe networks-are formulas relating the volume flow rate, q, along a pipe to the pressure-head difference, t, between its ends, such that q = psi(t), in which psi is monotonic. The simple Hazen-Williams power law is often used, but in appropriate circumstances the more complicated Colebrook-White law (CW) may better represent aspects of the experimental data. Result 1, the first and easiest-to-state result in the paper, is that phi(CW). the inverse of psi(CW) can, be expressed in terms of the Lambert W-function (eorless et al, 1993). Result 2 summarizes one use of this, and of related results, in convex optimization problems describing equilibrium flows in pipe networks.

Original language | English |
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Pages (from-to) | 96-97 |

Journal | Journal of Hydraulic Engineering (New York) |

Volume | 124 |

DOIs | |

Publication status | Published - 1998 |

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## Cite this

Keady, G. (1998). Colebrook-White for pipe flows.

*Journal of Hydraulic Engineering (New York)*,*124*, 96-97. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:1(96)