The process of nonstationary incompressible nonlinear-viscous liquid flow through a pipeline is considered. It is described by a parabolic-type one-dimensional nonlinear equation. The problem of determining the dependence of the pressure difference on time from the assigned volumetric flow rate in the given pipeline is formulated. Such a problem pertains to the class of inverse problems connected with the restoration of the dependence of the right-hand sides of parabolic equations on time. A computational algorithm for solving the problem has been suggested.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. E. Gubin and V. V. Gubin, Pipeline Transportation of Oil and Oil Products [in Russian], Nedra, Moscow (1982).
K. S. Basniev, N. M. Dmitriev, and G. D. Rozenberg, Oil-Gas Hydromechanics [in Russian], Inst. Komp. Issled., Moscow–Izhevsk (2005).
L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1987).
A. A. Samarskii and P. N. Vabishchevich, Numerical Methods of Solving the Inverse Problems of Mathematical Physics [in Russian], Izd. LKI, Moscow (2009).
Kh. M. Gamzaev, Numerical method of solving the inverse problem of water-oil plug displacement from oil pool, J. Eng. Phys. Thermophys., 85, No. 5, 1004–1010 (2012).
Kh. M. Gamzaev and Yu. V. Volkova, Concerning the problem of identifying the right-hand side of the parabolic equation, in: Ext. Abstr. Int. Conf. ″Urgent Problems of Mathematics and Informatics,″ Baku (2013), pp. 143–144.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 2, pp. 464–469, March–April, 2015.
Rights and permissions
About this article
Cite this article
Gamzaev, K.M. Modeling Nonstationary Nonlinear-Viscous Liquid Flows Through a Pipeline. J Eng Phys Thermophy 88, 480–485 (2015). https://doi.org/10.1007/s10891-015-1212-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-015-1212-8