activity
20182020
most citedAdvanced iterative procedures for solving the implicit Colebrook equation for fluid flow friction

47 citations · 278 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2020★ 15 cited

Review of new flow friction equations: Constructing Colebrook explicit correlations accurately

Pavel Praks, Dejan Brkic

Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation f…

cs.CE2019★ 31 cited

Short Overview of Early Developments of the Hardy Cross Type Methods for Computation of Flow Distribution in Pipe Networks

Dejan Brkić, Pavel Praks

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…

cs.CE2019★ 17 cited

An efficient iterative method for looped pipe network hydraulics

Dejan Brkic, Pavel Praks

Original and improved version of the Hardy Cross iterative method with related modifications are today widely used for calculation of fluid flow through conduits in loops-like dist…

math.NA2018★ 45 cited

Accurate and efficient explicit approximations of the Colebrook flow friction equation based on the Wright-Omega function

Dejan Brkić, Pavel Praks

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, th…

physics.flu-dyn2018★ 45 cited

Unified Friction Formulation from Laminar to Fully Rough Turbulent Flow

Dejan Brkic, Pavel Praks

This paper gives a new unified formula for the Newtonian fluids valid for all pipe flow regimes from laminar to the fully rough turbulent. It includes laminar, unstable sharp jump…

cs.CE2018★ 25 cited

Symbolic regression based genetic approximations of the Colebrook equation for flow friction

Pavel Praks, Dejan Brkic

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

math.NA2018★ 30 cited

Choosing the optimal multi-point iterative method for the Colebrook flow friction equation -- Numerical validation

Pavel Praks, Dejan Brkic

The Colebrook equation is implicitly given in respect to the unknown flow friction factor ; which cannot be expressed explicitly in exact way without simplif…

cs.CE2018★ 47 cited

Advanced iterative procedures for solving the implicit Colebrook equation for fluid flow friction

Pavel Praks, Dejan Brkic

Empirical Colebrook equation from 1939 is still accepted as an informal standard to calculate friction factor during the turbulent flow through pipes from smooth with almost neglig…

cs.CE2018★ 23 cited

One-Log Call Iterative Solution of the Colebrook Equation for Flow Friction Based on Pade Polynomials

Pavel Praks, Dejan Brkic

The 80 year-old empirical Colebrook function, widely used as an informal standard for hydraulic resistance, relates implicitly the unknown flow friction factor, with the known Reyn…