Przegląd i analityczne porównanie równań estymujących wartości współczynnika oporu liniowego

• Autorzy: Mańko Robert

Identyfikatory

DOI

10.36119/15.2024.6.3

Warianty tytułu

EN

Review and analytical comparison of equations estimating the values of the Darcy friction factor

• Języki publikacji: PL

Abstrakty

PL

W artykule przedstawiono jawne formuły używane do obliczania współczynnika oporów liniowych oraz zbadanie ich dokładności i przydatności w różnych warunkach pracy przewodów, tj. przy różnych wartościach liczby Reynoldsa i chropowatości względnej. Otrzymane wyniki zostały porównane z wynikami otrzymywanymi z powszechnie rekomendowanego równania Colebrooka-White’a. Następnie za pomocą wskaźników w postaci błędu średniego, błędu względnego i maksymalnego błędu względnego została przeprowadzona analiza porównawcza. Równanie Colebrooka-White’a nie da się przekształcić do postaci jawnej, dlatego wymaga ono rozwiązania iteracyjnego. Zbieżność współczynnika oporów liniowych na poziomie mniejszym niż 0.1 % wymaga zwykle co najmniej 6 przybliżeń. Ostatecznie udało się stwierdzić, że wiele dostępnych przybliżeń równania Colebrooka-White’a jest bardzo dokładna.

EN

The article presents explicit formulas used to calculate the Darcy factor and examines their accuracy and applicability in various operating conditions, i.e., at different values of Reynolds number and roughness. The obtained results were compared with those obtained from the commonly recommended Colebrook-White equation. Subsequently, a comparative analysis was conducted using indicators such as mean error, relative error, and maximum relative error. The Colebrook-White equation cannot be transformed into explicit form, requiring an iterative solution. Convergence of the linear resistance coefficient at a level lower than 0.1% typically requires at least 6 approximations. Ultimately, it was found that many available approximations of the Colebrook-White equation are highly accurate.

Słowa kluczowe

PL

współczynnik oporów liniowych; równanie Colebrooka-White’a; liczba Reynoldsa; chropowatość

EN

darcy friction factor; Colebrook-White equation; Reynolds number; roughness

• Wydawca: Ośrodek Informacji "Technika instalacyjna w budownictwie''
• Czasopismo: Instal
• Rocznik: 2024
• Tom: nr 6
• Strony: 16--23
• Opis fizyczny: Bibliogr. 56 poz., rys., tab., wzory

Twórcy

autor

Mańko Robert

• Zachodniopomorski Uniwersytet Technologiczny w Szczecinie, Wydział Budownictwa i Inżynierii Środowiska

• https://orcid.org/0000-0001-5592-7709

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