Abstract
Within the framework of the steady-state flat filtering of an incompressible fluid according to Darcy’s law, we obtain an accurate analytical solution to the problem of a flow in a rectangular bridge with a screen in the presence of evaporation from the free surface of groundwater. The limiting cases of the motion under consideration are noted, that is, filtration in a pressureless reservoir to an imperfect gallery and a flow in the absence of evaporation.
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REFERENCES
P. Ya. Polubarinova-Kochina, Theory of Groundwater Movement (Nauka, Moscow, 1977) [in Russian].
V. I. Aravin and S. N. Numerov, Theory of the Movement of Liquids and Gases in Undeformable Porous Medium (Gostekhizdat, Moscow, 1953) [in Russian].
Development of Research on the Theory of Filtration in the USSR (1917–1967), Ed. by P. Ya. Polubarinova (Nauka, Moscow, 1967) [in Russian].
G. K. Mikhailov and V. N. Nikolaevskii, in Mechanics in the USSR for 50 Years (Nauka, Moscow, 1970), Vol. 2, pp. 585–648 [in Russian].
P. Ya. Polubarinova-Kochina, V. G. Pryazhinskaya, and V. N. Emikh, Mathematical Methods in Irrigation Problems (Nauka, Moscow, 1969) [in Russian].
P. Ya. Kochina, Hydrodynamics and Filtration Theory: Selected Works (Nauka, Moscow, 1991) [in Russian].
V. G. Pryazhinskaya, Izv. Akad. Nauk SSSR, Mekh. Mashinostr., No. 4, 41 (1964).
P. Ya. Polubarinova-Kochina, V. A. Postnov, and V. N. Emikh, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 97 (1967).
E. N. Bereslavskii and L. M. Dudina, Vestn. S.-Peterb. Univ., Ser. 1: Mat., Mekh., Astron. 4, 654 (2017).
E. N. Bereslavskii and P. Ya. Kochina, Fluid Dyn. 27, 603 (1992).
P. Ya. Kochina, E. N. Bereslavskii, and N. N. Kochina, Preprint no. 567, Inst. Problem Mekhaniki RAN (Ishlinsky Inst. for Problems in Mechanics, Russian Academy of Sciences, 1996), Part 1.
E. N. Bereslavskii and P. Ya. Kochina, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 9 (1997).
E. N. Bereslavskii, Dokl. Math. 80, 706 (2009).
V. V. Golubev, Lectures on the Analytic Theory of Differential Equations (Gostekhizdat, Moscow, 1950) [in Russian].
E. N. Bereslavskii and N. V. Likhacheva, Vestn. S.-Peterb. Univ., Ser. 10: Prikl. Mat., Inf., Protsessy Upr., No. 3, 10 (2012).
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Bereslavskii, E.N., Dalinger, Y.M. & Dudina, L.M. Simulation of the Motion of Groundwater for a Rectangular Bridge with a Screen. Dokl. Phys. 65, 31–35 (2020). https://doi.org/10.1134/S102833582001005X
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DOI: https://doi.org/10.1134/S102833582001005X