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

Author

Listed:
  • Dejan Brkić

    (Research and Development Center “Alfatec”, 18000 Niš, Serbia)

  • Pavel Praks

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

Abstract

This reply gives two corrections of typographical errors in respect to the commented article, and then provides few comments in respect to the discussion and one improved version of the approximation of the Colebrook equation for flow friction, based on the Wright ω-function. Finally, this reply gives an exact explicit version of the Colebrook equation expressed through the Wright ω-function, which does not introduce any additional errors in respect to the original equation. All mentioned approximations are computationally efficient and also very accurate. Results are verified using more than 2 million of Quasi Monte-Carlo samples.

Suggested Citation

  • Dejan Brkić & Pavel Praks, 2019. "Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to Discussion," Mathematics, MDPI, vol. 7(5), pages 1-7, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:410-:d:229225
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    References listed on IDEAS

    as
    1. H. Vazquez-Leal & M. A. Sandoval-Hernandez & J. L. Garcia-Gervacio & A. L. Herrera-May & U. A. Filobello-Nino, 2019. "PSEM Approximations for Both Branches of Lambert Function with Applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-15, March.
    2. Pavel Praks & Dejan Brkić, 2018. "One-Log Call Iterative Solution of the Colebrook Equation for Flow Friction Based on Padé Polynomials," Energies, MDPI, vol. 11(7), pages 1-12, July.
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