This review paper gives Excel functions for highly precise Colebrook's pipe flow friction
approximations developed by users. All shown codes are implemented as User Defined …

Hardy Cross originally proposed a method for analysis of flow in networks of conduits or
conductors in 1936. His method was the first really useful engineering method in the field of …

The Colebrook equation is a popular model for estimating friction loss coefficients in water
and gas pipes. The model is implicit in the unknown flow friction factor, f. To date, the …

Heat transfer augmentation has become the utmost industrial desire. Turbulence promoters
seems to be a better option for better heat transfer but at the expense of enormous pressure …

The empirical Colebrook equation from 1939 is still accepted as an informal standard way to
calculate the friction factor of turbulent flows (4000< Re< 108) through pipes with roughness …

The original and improved versions of the Hardy Cross iterative method with related
modifications are today widely used for the calculation of fluid flow through conduits in loop …

Widely used in hydraulics, the Colebrook equation for flow friction relates implicitly to the
input parameters; the Reynolds number, Re and the relative roughness of an inner pipe …

The Colebrook equation is implicitly given in respect to the unknown flow friction factor λ; λ=
ζ (R e, ε*, λ) which cannot be expressed explicitly in exact way without simplifications and …

This paper presents a comprehensive set of computer tools for implementing an active
teaching–learning strategy on an undergraduate hydraulic engineering course, within the …

All the roots of the general n th degree trinomial admit certain convenient representations in
terms of the Lambert and Euler series for the asymmetric and symmetric cases of the …