Geodesic
Flows in channel under evaporation from the free surface groundwater and the capillary ground
Matematičeskoe modelirovanie, Tome 22 (2010) no. 7, pp. 22-32

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In two-dimensional steady filtration are considered some of the mathematical models of groundwater flow from the channel in the presence of evaporation from the free surface. For their study and formulated using the method Polubarinova-Kochina solve mixed boundary value problems of the theory of analytic functions. On the basis of these models are developed algorithms for calculating the size of the saturated zone in situations where the filtration is taken into account capillarity of soil or water level in the channel. Using exact analytical dependences obtained and numerical calculations carried out a detailed analysis of the structure and characteristics of the simulated processes, as well as the influence of all the physical characteristics of the models on the size of the zone of saturation.
Mots-clés : filtration, canal
Keywords: ground water, evaporation, capillarity of the soil, the complex flow velocity, the method Polubarinova-Kochina, linear differential equations of the Fuchs class, conformal mapping. 
@article{MM_2010_22_7_a1,
     author = {E. N. Bereslavskii and N. V. Zakharenkova},
     title = {Flows in channel under evaporation from the free surface groundwater and the capillary ground},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {22--32},
     publisher = {mathdoc},
     volume = {22},
     number = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_7_a1/}
}
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E. N. Bereslavskii; N. V. Zakharenkova. Flows in channel under evaporation from the free surface groundwater and the capillary ground. Matematičeskoe modelirovanie, Tome 22 (2010) no. 7, pp. 22-32. http://geodesic.mathdoc.fr/item/MM_2010_22_7_a1/