Recent Advances in Mathematical Research and Computer Science Vol. 6,
1 January 2022,
The present work gives an exact solution of the filtration problem in a rectangular cofferdam with a screen in the presence of evaporation from the free surface of groundwater. Within the framework of planar steady-state filtration of incompressible fluid according to Darcy's law, an exact analytical solution of the problem of flow in a rectangular cofferdam with a screen in the presence of evaporation from the free surface of groundwater is given. The limiting cases of the considered motion - filtration in unconfined reservoir to imperfect gallery, as well as the flow in the absence of evaporation - are noted. The investigation shows that the filtration scheme in a rectangular cofferdam with impermeable screen, firstly, is very similar to the previously considered problem about movement of ground waters to the imperfect gallery, one of them being limiting with respect to the other.