Effect of Evaporation or Infiltration on the Free Surface of Groundwater in Certain Problems of Underground Hydromechanics

Submit Manuscript | http://medcraveonline.com of filtration, was introduced. After this publication, the function and the problem, as well as the tongue, were named after Joukowski [2]. This study opened the possibility of the mathematical modeling of motions under the Joukowski tongue and initiated investigations of the specified class of filtration flows (see, for example, reviews [2, 3]). At the same time, there are no studies devoted to special investigation of the effect of evaporation or infiltration on the pattern of motions. These important physical factors have been disregarded in exact analytical solutions of similar problems until now. In this work, we studied the effect of evaporation or infiltration by the example of two schemes that arise in the flow around the Joukowski tongue. The first scheme corresponds to the case in which the soil layer is underlain to the entire extent by an impermeable basis, and evaporation takes place from the free surface. In the second scheme, the underlying layer represents an entirely well permeable confined waterbearing horizon and there is infiltration on the free surface. We present a uniform technique of solving the problems, which enables us to take into account also other basic filtration characteristics in the investigation (the backwater both from the side of the underlying impermeable basis and the highly permeable confined water bearing horizon and the soil capillarity) and to estimate the joint effect of these factors on the pattern of the phenomenon. Evaporation or infiltration on the free surface are studied using the Polubarinova Kochina method [2, 3] and the ways of conformal mapping [4-6] developed for regions of a special type [4]; in this case, the mixed multiparameter boundaryvalue problems of the theory of analytical functions are solved. Taking into account the typical features of the flows under consideration makes it possible to present the solutions through elementary functions, which makes their use most simple and convenient. The results of numerical calculations are presented, and the hydrodynamic analysis of the effect of evaporation or infiltration, as well as all physical parameters of schemes on the filtration characteristics, is given.