Open AccessSOLUTIONS IN EXPLICIT FORM FOR DETERMINING THE HYDRAULIC RESISTANCE COEFFICIENT FOR TURBULENT FLOW
Author(s) -
Maxim N. Nikitin,
Tatyana Sergeevna Solovyova,
Olga Vladimirovna Shlyahtina
Publication year - 2019
Publication title -
gradostroitelʹstvo i arhitektura
Language(s) - English
Resource type - Journals
eISSN - 2782-2109
pISSN - 2542-0151
DOI - 10.17673/vestnik.2019.04.7
Subject(s) - mathematics , turbulence , reynolds number , simple (philosophy) , flow (mathematics) , approximations of π , mathematical analysis , thermodynamics , geometry , physics , philosophy , epistemology
A comparative analysis of explicit solutions of the Colebrook-White equation is carried out. The median values of relative deviations, coefficients of determination and computational complexities for each approximation were obtained. The results of the iterative solution of the Colebrook-White equation by successive substitution method were used as the intrinsic solution. Approximations by B. Eck and A.R. Vatankhah were identified as the most effective in terms of computational complexity. It was shown that widely used approximations by P.R.H. Blasius, A.D. Altshul and J. Nikuradze although simple, provide acceptable accuracy only within restricted ranges of Reynolds and relative roughness.