Precise Explicit Approximations of the Colebrook-White Equation for Engineering Systems

dc.contributor.authorMileikovskyi, Viktor
dc.contributor.authorTkachenko, Tetiana
dc.date.accessioned2023-02-07T09:52:33Z
dc.date.available2023-02-07T09:52:33Z
dc.date.issued2020-08-17
dc.descriptionThis 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 Users may only view, print, copy, download and text- and data-mine the content, for the purposes of academic research. The content may not be (re-)published verbatim in whole or in part or used for commercial pur- poses. Users must ensure that the author’s moral rights as well as any third parties’ rights to the content or parts of the content are not compro- mised.uk_UA
dc.description.abstractModern 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.uk_UA
dc.identifier.citationMileikovskyi 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_37uk_UA
dc.identifier.isbn978-3-030-57339-3
dc.identifier.isbn978-3-030-57340-9
dc.identifier.issn2366-2557
dc.identifier.issn2366-2565
dc.identifier.urihttps://repositary.knuba.edu.ua/handle/987654321/10741
dc.language.isoenuk_UA
dc.publisherSpringeruk_UA
dc.subjecthydraulic calculationuk_UA
dc.subjectaerodynamic calculationuk_UA
dc.subjectmicroclimate systemuk_UA
dc.subjectturbulent flowuk_UA
dc.subjectapproximationuk_UA
dc.subjectColebrook-White equationuk_UA
dc.subjectкафедра теплогазопостачання та вентиляціїuk_UA
dc.subject.udc621.64uk_UA
dc.titlePrecise Explicit Approximations of the Colebrook-White Equation for Engineering Systemsuk_UA
dc.typeArticleuk_UA
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