About the Influence of Evaporation at Filtration in a Rectangular Interchange with a Particularly Unpermatable Vertical Wall
Journal Title: Current Investigations in Agriculture and Current Research - Year 2018, Vol 3, Issue 3
Abstract
As it is known [1-6], the exact solution of tasks on inflow of liquid to an imperfect well with the flooded filter (i.e. an axisymmetric task) or the tubular well representing an impenetrable pipe with the filter in its some part is connected with great mathematical difficulties and so far isn’t found. Therefore in due time as the first approach to the solution of similar tasks some corresponding flat tasks analogs about a filtration to imperfect rectilinear gallery in free-flow layer [4,7] and in a rectangular crossing point with partially impenetrable vertical wall were considered [8]. It should be noted that areas of complex speed of the specified cases allow applying by means of inversion at the decision Christoffel- Schwartz’s formula. In work [9] it is shown that the current picture near the impenetrable screen significantly depends not only on imperfection of gallery, but also on evaporation existence that is strongly reflected in an expense of gallery and ordinate of a point of an exit of a curve depression to an impenetrable wall. In the real work the exact analytical solution of a task on a current of ground waters through a rectangular crossing point with partially impenetrable vertical wall in the presence of evaporation from a free surface of ground waters is given. In this case in the field of complex speed, unlike [1,4,6-8] there are not rectilinear, but circular polygons that doesn’t give the chance to use classical integral of Christoffel-Schwartz. For the solution of a task P.Y. Polubarinova-Kochina’s method is used [1-6]. By means of developed for areas of a special look [10-12] which are characteristic for problems of an underground hydromechanics, ways of conformal display of circular polygons [13-19] decides mixed multiple parameter tasks of the theory of analytical functions. The accounting of characteristics of the considered current allows to receive the decision through elementary functions that does its use by the simply and convenient. The provided detailed hydrodynamic analysis gives the flavor about possible dependence of filtration characteristics of the movement on all physical parameters. The received results, at least, qualitatively can be postponed for a case of tubular wells
Authors and Affiliations
EN Bereslavskii, LM Dudina
Keywords
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- EP ID EP571191
- DOI 10.32474/CIACR.2018.03.000163
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