Precise Explicit Approximations of the Colebrook-White Equation for Engineering Systems
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Дата
2020-08-17
Автори
Mileikovskyi, Viktor
Tkachenko, Tetiana
Заголовок журналу
Журнал ISSN
Назва тому
Видавець
Springer
Анотація
Modern automated engineering systems have variable hydraulic/aero-
dynamic conditions with Reynolds number from zero to hundred thousand with
a wide range of roughness. Simple approximations of the Colebrook-White equa-
tion cannot give enough precision. The aim of the work is a universal simple
precise approximation of the Colebrook-White equation. The methods are se-
lected by the analysis of the equation curve. In the whole range of turbulent flow,
it is near to linear. Thus, Newton’s method is very effective. The algorithm is
proposed for getting high-precision approximations. The results are two simple
explicit ones for rough and careful calculations with a deviation of 5.36 % and
0.00072 % in a wide range of parameters. It is shown on the examples of the
objects: the highest building “Biotecton” and researches of “green roofs” in a
wind tunnel. The scientific novelty is that we scientifically grounded the effective
usage of Newton’s method, which provides new universal, precise and simple
explicit approximations of Colebrook-White equation. The practical value is that
the approximations are covered different practical tasks of hydraulic and aerody-
namic calculations in the whole range of turbulent flow.
Опис
This is an Author Accepted Manuscript version of the following chapter:
Viktor Mileikovskyi and Tetiana Tkachenko, Precise Explicit Approxi-
mations of the Colebrook-White Equation for Engineering Systems, pub-
lished in Proceedings of EcoComfort 2020, edited by Zinoviy
Blikharskyy, 2021, Springer, reproduced with permission of Springer
Nature Switzerland. The final authenticated version is available online
at: https://doi.org/10.1007/978-3-030-57340-9_37
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mised.
Ключові слова
hydraulic calculation, aerodynamic calculation, microclimate system, turbulent flow, approximation, Colebrook-White equation, кафедра теплогазопостачання та вентиляції
Бібліографічний опис
Mileikovskyi V. Precise Explicit Approximations of the Colebrook-White Equation for Engineering Systems / V. Mileikovskyi, T. Tkachenko. // International Scientific Conference EcoComfort and Current Issues of Civil Engineering. - Cham : Springer, 2020. - Vol. 100. - P. 303-310. - Bibliogr. : 17 titl. Access mode: https://doi.org/10.1007/978-3-030-57340-9_37