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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2018 Volume 30, Number 2, Pages 99–109 (Mi mm3941)

This article is cited in 1 paper

About flow of ground water to imperfect gallery in the presence of evaporation with a free surface

E. N. Bereslavskii, L. M. Dudina

Saint-Petersburg State University of Civil Aviation

Abstract: The plane steady filtering depressurised to the formation of imperfect gallery in the presence of evaporation from the free surface groundwater. To study the effect of evaporation is formulated and using the method of P.Y. Polubarinova-Kochina solved multiparametric mixed boundary value problem of analytic function theory. On the basis of the proposed model, an algorithm for calculating seepage flow characteristics and provides hydrodynamic analysis of the impact of all the dependencies of physical parameters of the circuit in flow rate ordinate galleries and exit points of the curve depression on an impermeable screen.

Keywords: filtration, pressureless reservoir, imperfect gallery, ground water, free surface, evaporation, complex velocity, conformal mappings, method of Polubarinova-Kochina.

Received: 16.01.2017


 English version:
Mathematical Models and Computer Simulations, 2018, 10:5, 601–608

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© Steklov Math. Inst. of RAS, 2026