ON THE LIMITING CASES RELATED TO FLOW PAST A ZHUKOVSKII SHEET PILE

Within the framework of the Darcy′s theory of plane steady fi ltration of an incompressible liquid, two limiting schemes are considered that model filtration flows under a Zhukovskii sheet pile through a large mass of ground underlain by an impermeable base or by a permeable water-bearing pressure horizon. For purposes of analyzing these schemes, mixed boundary-layer problems of the theory of analytical functions are formulated that are solved with the aid of the Polubarinova-Kochina method. Based on these models, algorithms have been developed for calculating a saturation zone in those cases where, while considering the motion of water, one has to take into account the exposure of flow pattern to the combined effect of such important factors as backwater from the side of the impermeable base or of the underlying well permeable water-bearing bed, evaporation or infi ltration on the free groundwater surface, as well as the ground capillarity.
   
Author:  É. N. Bereslavskii
Keywords:  filtration, Zhukovskii sheet pile, groundwater, pressure underground horizon, water confi ning layer, evaporation, infi ltration, free surface, ground capillarity, complex fl ow velocity, conformal mappings, PolubarinovaKochina method
Page:  602