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Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to the Discussion by Majid Niazkar

Author

Listed:
  • Pavel Praks

    (IT4Innovations, VŠB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic)

  • Dejan Brkić

    (IT4Innovations, VŠB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic
    Faculty of Electronic Engineering, University of Niš, 18000 Niš, Serbia)

Abstract

In this reply, we present updated approximations to the Colebrook equation for flow friction. The equations are equally computational simple, but with increased accuracy thanks to the optimization procedure, which was proposed by the discusser, Dr. Majid Niazkar. Our large-scale quasi-Monte Carlo verifications confirm that the here presented novel optimized numerical parameters further significantly increase accuracy of the estimated flow friction factor.

Suggested Citation

  • Pavel Praks & Dejan Brkić, 2020. "Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to the Discussion by Majid Niazkar," Mathematics, MDPI, vol. 8(5), pages 1-6, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:796-:d:358135
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