Abstract
The study is devoted to determining the value of the hydraulic resistance coefficient of a linear section of a pipeline. The problem is reduced to a problem of finite-dimensional optimization for whose solution we suggest to use the first-order numerical methods. The formulas are obtained for the components of the gradient of the objective functional in the space of parameters to be identified. The results of numerical experiments are presented.
Similar content being viewed by others
References
M. A. Guseinzade and V. A. Yufin, Unsteady Flow of Oil and Gas in Trunk Pipelines (Nedra, Moscow, 1981) [in Russian].
I. A. Charnyi, Unsteady Flow of a Real Fluid in Pipes (Nedra, Moscow, 1975) [in Russian].
R. A. Aliev, V. D. Belousov, A. G. Nemudrov, V. A. Yufin, and E. I. Yakovlev, Pipeline Transportation of Oil and Gas (Nedra, Moscow, 1988) [in Russian].
V. V. Mikhailov, “Refined Formula for Calculating the Hydraulic Drag Coefficient of a Pipeline,” Izv. Ross. Akad. Nauk. Mekh. Zhidk. Gaza No. 4, 159–161 (2001) [Fluid Dynamics 36 (4), 668–670 (2001)].
A. P. Silash, Extraction and Transportation of Oil and Gas (Nedra, Moscow, 1980) [in Russian].
V. G. Geier, V. S. Dulin, and A. N. Zarya, Hydraulics and Hydraulic Drive (Nedra, Moscow, 1991) [in Russian].
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1966; Dover, New York, 1990).
Ye. R. Ashrafova and V. M. Mamedov, “Numerical Study of the State of Evolution Processes under Uncertain Initial Conditions,” Izv. Natsion. Akad. Nauk Azerbaidzhana Ser. Fiz. Mat. Nauki 33(6), 30–38 (2013).
K. R. Aida-zade and S. Z. Kuliev, “Numerical Solution of Nonlinear Inverse Coefficient Problems for Ordinary Differential Equations,” Zh. Vychisl. Mat. i Mat. Fiz. 51(5), 1–13 (2011) [Comput. Math. Math. Phys. 51 (5), 803–815 (2011)].
Ph. E. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic Press, London, 1981; Mir, Moscow, 1985).
F. P. Vasil’ev, Optimization Methods (Faktorial Press, Moscow, 2002) [in Russian].
O. A. Ladyzhenkaya, The Boundary Value Problems of Mathematical Physics: Applied Mathematical Sciences, Vol. 49 (Nauka, Moscow, 1973; Springer, Berlin, 1985).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.Z. Kuliev, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 1, pp. 84–94.
Rights and permissions
About this article
Cite this article
Kuliev, S.Z. An approach to determining the hydraulic resistance coefficient of a pipeline section under an unsteady flow regime. J. Appl. Ind. Math. 9, 241–250 (2015). https://doi.org/10.1134/S199047891502009X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S199047891502009X