Bereslavsky EN*
Volume2-Issue2
Dates: Received: 2021-02-15 | Accepted: 2021-02-22 | Published: 2021-02-23
Pages: 069-073
Abstract
Within the framework of planar steady-state filtration of incompressible fluid according to Darcy’s law, an exact analytical solution of the problem of flow in a rectangular cofferdam with a screen in the presence of evaporation from the free surface of groundwater is given. The limiting cases of the considered motion - filtration in unconfined reservoir to imperfect gallery, as well as the flow in the absence of evaporation - are noted.
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DOI: 10.37871/jbres1191
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© 2021 Bereslavsky EN. Distributed under Creative Commons CC-BY 4.0
How to cite this article
Bereslavsky EN. Modeling the Movement of Groundwater VOD in a Rectangular Jumper with a Screen. J Biomed Res Environ Sci. 2021 Feb 23; 2(2): 069-073. doi: 10.37871/jbres1191, Article ID: jbres1191
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References
- Polubarinova-Kochina PY. Theory of groundwater movement. Moscow: Gostekhizdat; 1952. p. 677. 2nd Ed. Moscow: Nauka; 1977. p. 664.
- Numerov SN. Theory of motion of liquids and gases in a non-deformable porous medium. Moscow: Gostekhizdat; 1953. p. 616.
- Polubarinova-Kochina PY. Development of Studies on Filtration Theory in the USSR (1917-1967). Ed. Moscow: Nauka; 1967. p. 545.
- Mikhailov GK, Nikolaevsky VN. In: Mechanics in the USSR for 50 years. Moscow: Nauka; 1970. V(2). p. 585-648.
- Polubarinova-Kochina PYa, Pryazhinskaya VG, Emikh VN. Mathematical methods in matters of irrigation. Moscow: Nauka; 1969. p. 414.
- Kochina PYa. Selected Works. Hydrodynamics and Filtration Theory. Moscow: Nauka; 1991. p. 351.
- Pryazhinskaya VG. Groundwater motion in a rectangular cofferdam with an impermeable vertical wall. Izv Mechanics and Engineering. 1964. №4. p. 41-49.
- Polubarinova-Kochina PYa, Postnov VA, Emikh N, Emikh VN. The steady-state filtration to an imperfect gallery in an unpressurized reservoir. Izv MZHG. 1967. № 4. p. 97-100.
- Bereslavsky EN, Dudina LM. On motion of ground waters to an imperfect gallery in the presence of evaporation from a free surface. Vestnik S.-Petersburg. Series 1. Mathematics. Mechanics. Astronomy. 2017. №4. Т. 4(62). p. 654-663.
- Bereslavsky EN, Kochina PYa. On some Fuchs class equations in hydro- and aeromechanics. Izvestiya RAN MJG. 1992. №5. p. 3-7.
- Kochina PYa, Bereslavsky EN, Kochina NN. Analytic theory of Fuchs class linear differential equations and some problems of underground hydromechanics. Preprint No. 567. М, Institute of Mechanics Problems. MOSCOW : INSTITUTE FOR PROBLEMS OF MECHANICS OF THE RUSSIAN ACADEMY OF SCIENCES, 1996. Part 1. p. 122.
- Bereslavsky EN, Kochina PY. On Fuchs class differential equations encountered in some problems of fluid and gas mechanics. Izv MJG. 1997. №5. С.9–17.
- Bereslavsky EN. On the Integration in Closed Form of Some Fuchs Class Differential Equations Occurring in Hydro-Paeromechanics. DAN. 2009. Т. 428. №4. p. 439–443.
- Golubev VV. Lectures on the analytic theory of differential equations. Moskow: L Gostekhizdat; 1950. p. 436.
- Bereslavsky EN, Likhacheva NV. Mathematical modeling of filtration from canals and sprinklers. Vestnik S-Petersburg. Un-tat. Series 10. Appl Inform Proce management. 2012;V(3). p. 10-22.
- Bereslavsky EN, Dalinger JM, Dudina LM. Modeling of groundwater motion a screen. Reports of RAS. Physics. Technical Sciences.2020. Т. 490. № 1. С. 57-62.